{"id":33909,"date":"2021-04-09T13:00:53","date_gmt":"2021-04-09T13:00:53","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=33909"},"modified":"2025-08-01T02:18:37","modified_gmt":"2025-08-01T02:18:37","slug":"%e5%b8%b0%e7%b4%8d%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e8%a8%bc%e6%98%8e%ef%bc%9a%e3%83%89%e3%83%bb%e3%83%a2%e3%83%ab%e3%82%ac%e3%83%b3%e3%81%a8%e5%88%86%e9%85%8d%e6%b3%95%e5%89%87%e3%81%ae%e4%b8%80","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ja\/%e5%b8%b0%e7%b4%8d%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e8%a8%bc%e6%98%8e%ef%bc%9a%e3%83%89%e3%83%bb%e3%83%a2%e3%83%ab%e3%82%ac%e3%83%b3%e3%81%a8%e5%88%86%e9%85%8d%e6%b3%95%e5%89%87%e3%81%ae%e4%b8%80\/","title":{"rendered":"\u5e30\u7d0d\u6cd5\u306b\u3088\u308b\u8a3c\u660e\uff1a\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u3068\u5206\u914d\u6cd5\u5247\u306e\u4e00\u822c\u5316"},"content":{"rendered":"<p><center><\/p>\n<h1>\u5e30\u7d0d\u6cd5\u306b\u3088\u308b\u8a3c\u660e\uff1a\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u3068\u5206\u914d\u6cd5\u5247\u306e\u4e00\u822c\u5316<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u8981\u7d04<\/strong><br \/><em>\u3053\u306e\u6388\u696d\u3067\u306f\u3001\u6570\u5b66\u304a\u3088\u3073\u547d\u984c\u8ad6\u7406\u306b\u304a\u3051\u308b\u5e30\u7d0d\u6cd5\u306b\u3088\u308b\u8a3c\u660e\u306e\u30c6\u30fc\u30de\u3092\u6271\u3044\u307e\u3059\u3002\u5b58\u5728\u3059\u308b2\u7a2e\u985e\u306e\u8a3c\u660e\u3001\u3059\u306a\u308f\u3061\u8ad6\u7406\u306e\u898f\u5247\u306b\u57fa\u3065\u304f\u5185\u90e8\u7684\u307e\u305f\u306f\u6f14\u7e79\u7684\u8a3c\u660e\u3068\u3001\u8ad6\u7406\u305d\u306e\u3082\u306e\u306b\u95a2\u308f\u308b\u547d\u984c\u3092\u8a3c\u660e\u3059\u308b\u305f\u3081\u306b\u5fc5\u8981\u306a\u5916\u90e8\u7684\u307e\u305f\u306f\u30e1\u30bf\u6570\u5b66\u7684\u8a3c\u660e\u304c\u8aac\u660e\u3055\u308c\u307e\u3059\u3002\u6570\u5b66\u7684\u5e30\u7d0d\u6cd5\u306f\u3001\u3042\u308b\u547d\u984c\u304c\u3059\u3079\u3066\u306e\u81ea\u7136\u6570\u306b\u5bfe\u3057\u3066\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u793a\u3059\u305f\u3081\u306e\u8a3c\u660e\u624b\u6cd5\u3068\u3057\u3066\u5c0e\u5165\u3055\u308c\u307e\u3059\u3002\u5177\u4f53\u7684\u306a\u8a3c\u660e\u306e\u4f8b\u304c\u63d0\u793a\u3055\u308c\u3001\u547d\u984c\u8ad6\u7406\u306b\u304a\u3051\u308b\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u304a\u3088\u3073\u5206\u914d\u6cd5\u5247\u306e\u4e00\u822c\u5f62\u304c\u7d39\u4ecb\u3055\u308c\u3001\u305d\u308c\u305e\u308c\u5e30\u7d0d\u6cd5\u306b\u3088\u3063\u3066\u8a3c\u660e\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u6388\u696d\u306f\u3001\u6570\u5b66\u3068\u8ad6\u7406\u306e\u57fa\u790e\u3092\u7406\u89e3\u3057\u3001\u305d\u308c\u3092\u3055\u307e\u3056\u307e\u306a\u77e5\u8b58\u5206\u91ce\u306b\u5fdc\u7528\u3059\u308b\u305f\u3081\u306b\u975e\u5e38\u306b\u91cd\u8981\u3067\u3059\u3002<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u5b66\u7fd2\u76ee\u6a19\uff1a<\/strong><br \/>\n\u3053\u306e\u6388\u696d\u3092\u7d42\u3048\u305f\u5b66\u751f\u306f\u6b21\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a\n<\/p>\n<ol>\n<li><strong>\u533a\u5225\u3059\u308b<\/strong>\uff1a\u5185\u90e8\u7684\u307e\u305f\u306f\u6f14\u7e79\u7684\u8a3c\u660e\u3068\u5916\u90e8\u7684\u307e\u305f\u306f\u30e1\u30bf\u6570\u5b66\u7684\u8a3c\u660e\u306e2\u7a2e\u985e\u306e\u8a3c\u660e\u3092\u8a8d\u8b58\u3059\u308b\u3002<\/li>\n<li><strong>\u9069\u7528\u3059\u308b<\/strong>\uff1a\u6570\u5b66\u7684\u5e30\u7d0d\u6cd5\u3092\u7528\u3044\u3066\u81ea\u7136\u6570\u3084\u547d\u984c\u8ad6\u7406\u306b\u95a2\u3059\u308b\u8a3c\u660e\u3092\u884c\u3046\u3002<\/li>\n<li><strong>\u4f7f\u7528\u3059\u308b<\/strong>\uff1a\u547d\u984c\u8ad6\u7406\u306e\u8868\u73fe\u306b\u304a\u3044\u3066\u3001\u9023\u8a00\u304a\u3088\u3073\u9078\u8a00\u306e\u8a18\u6cd5\u3092\u7528\u3044\u308b\u3002<\/li>\n<li><strong>\u7406\u89e3\u3059\u308b<\/strong>\uff1a\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u304a\u3088\u3073\u547d\u984c\u8ad6\u7406\u306b\u304a\u3051\u308b\u5206\u914d\u6cd5\u5247\u306e\u4e00\u822c\u5f62\u3002<\/li>\n<li><strong>\u7406\u89e3\u3059\u308b<\/strong>\uff1a\u5e30\u7d0d\u6cd5\u306e\u4eee\u5b9a\u306e\u6982\u5ff5\u3068\u3001\u5e30\u7d0d\u7684\u8a3c\u660e\u306b\u304a\u3051\u308b\u305d\u306e\u5f79\u5272\u3002<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong>\u76ee\u6b21<\/strong><br \/>\n<a href=\"#1\">\u5185\u90e8\u7684\u8a3c\u660e\u3068\u5916\u90e8\u7684\u8a3c\u660e<\/a><br \/>\n<a href=\"#2\">\u6570\u5b66\u7684\u5e30\u7d0d\u6cd5\u306b\u3088\u308b\u8a3c\u660e<\/a><br \/>\n<a href=\"#3\">\u547d\u984c\u8ad6\u7406\u306b\u304a\u3051\u308b\u5e30\u7d0d\u6cd5\u306b\u3088\u308b\u8a3c\u660e<\/a><br \/>\n<a href=\"#4\">\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u306e\u4e00\u822c\u5f62<\/a><br \/>\n<a href=\"#5\">\u5206\u914d\u6cd5\u5247\u306e\u4e00\u822c\u5f62<\/a><\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/eJQcNPrKyW0\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u5185\u90e8\u7684\u8a3c\u660e\u3068\u5916\u90e8\u7684\u8a3c\u660e<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=eJQcNPrKyW0&amp;t=212s\" target=\"_blank\" rel=\"noopener\"><strong>\u533a\u5225\u3059\u3079\u304d2\u7a2e\u985e\u306e\u8a3c\u660e\u304c\u5b58\u5728\u3057\u307e\u3059\u3002<\/strong><\/a>\u3053\u308c\u307e\u3067\u591a\u304f\u306e\u5f62\u5f0f\u7684\u8a3c\u660e\u306e\u4f8b\u3092\u898b\u3066\u304d\u307e\u3057\u305f\u3002\u3053\u308c\u3089\u306e\u8a3c\u660e\u306f\u3001\u8ad6\u7406\u306e\u898f\u5247\u306b\u5f93\u3063\u3066\u5c0e\u304b\u308c\u308b\u3082\u306e\u3067\u3059\u3002\u3053\u306e\u3088\u3046\u306a\u8a3c\u660e\u306f\u300c\u8ad6\u7406\u306e\u5185\u90e8\u300d\u3067\u884c\u308f\u308c\u308b\u3068\u8a00\u308f\u308c\u3001\u300c\u5185\u90e8\u7684\u8a3c\u660e\u300d\u307e\u305f\u306f\u300c\u6f14\u7e79\u7684\u8a3c\u660e\u300d\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002\u3053\u306e\u7a2e\u306e\u5f62\u5f0f\u7684\u8a3c\u660e\u306f\u3001\u8ad6\u7406\u306e\u8a00\u8a9e\u3067\u8a18\u8ff0\u3067\u304d\u308b\u547d\u984c\u306e\u307f\u3092\u8a3c\u660e\u3059\u308b\u305f\u3081\u306e\u9650\u5b9a\u7684\u306a\u65b9\u6cd5\u3067\u3059\u3002\u3057\u304b\u3057\u3001\u8ad6\u7406\u305d\u306e\u3082\u306e\u306b\u95a2\u3059\u308b\u3053\u3068\u3092\u8a3c\u660e\u3057\u305f\u3044\u5834\u5408\u3082\u3042\u308a\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u547d\u984c\u8ad6\u7406\u306e\u3059\u3079\u3066\u306e\u547d\u984c\u304c\u3042\u308b\u6027\u8cea\u3092\u6e80\u305f\u3059\u3053\u3068\u3092\u8a3c\u660e\u3057\u305f\u3044\u5834\u5408\u306a\u3069\u3067\u3059\u3002\u3053\u306e\u3088\u3046\u306b\u3001\u8ad6\u7406\u305d\u306e\u3082\u306e\u306b\u95a2\u308f\u308b\u547d\u984c\u306f\u3001\u8ad6\u7406\u306e\u5185\u90e8\u3067\u306f\u8a3c\u660e\u3082\u78ba\u7acb\u3082\u3067\u304d\u307e\u305b\u3093\u3002\u3053\u3046\u3057\u305f\u547d\u984c\u3092\u8a3c\u660e\u3059\u308b\u306b\u306f\u5916\u90e8\u7684\u8a3c\u660e\u3092\u7528\u3044\u307e\u3059\u3002\u5916\u90e8\u7684\u8a3c\u660e\u306f\u300c\u30e1\u30bf\u6570\u5b66\u7684\u8a3c\u660e\u300d\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002\u305d\u3057\u3066\u6211\u3005\u306f\u3059\u3067\u306b\u3053\u306e\u7a2e\u306e\u5185\u5bb9\u306b\u51fa\u4f1a\u3063\u3066\u304a\u308a\u3001\u4f8b\u3048\u3070\uff08\u30e1\u30bf\uff09\u5e30\u7d50\u5b9a\u7406\u3092\u898b\u305f\u3068\u304d\u304c\u305d\u3046\u3067\u3057\u305f\u3002\u3053\u3053\u3067\u5e30\u7d0d\u7684\u8a3c\u660e\u304c\u6587\u8108\u306e\u4e2d\u306b\u4f4d\u7f6e\u3065\u3051\u3089\u308c\u307e\u3059\u3002<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u6570\u5b66\u7684\u5e30\u7d0d\u6cd5\u306b\u3088\u308b\u8a3c\u660e<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=eJQcNPrKyW0&amp;t=359s\" target=\"_blank\" rel=\"noopener\"><strong>\u6570\u5b66\u7684\u5e30\u7d0d\u6cd5\u3068\u306f\u3001<\/strong><\/a>\u3059\u3079\u3066\u306e\u81ea\u7136\u6570\u306b\u5bfe\u3057\u3066\u3042\u308b\u547d\u984c\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u8a3c\u660e\u3059\u308b\u305f\u3081\u306e\u65b9\u6cd5\u3067\u3059\u3002<\/p>\n<p style=\"text-align: justify;\"><strong>\u4f8b\uff1a<\/strong><br \/>\n<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">11^n - 4^n<\/span><\/span> \u3068\u3044\u3046\u5f62\u306e\u3059\u3079\u3066\u306e\u6570\uff08\u305f\u3060\u3057 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u306f\u4efb\u610f\u306e\u81ea\u7136\u6570\uff09\u306b\u3064\u3044\u3066\u3001\u5e38\u306b 7 \u3067\u5272\u308a\u5207\u308c\u308b\u3053\u3068\u304c\u8a3c\u660e\u3067\u304d\u307e\u3059\u3002<br \/>\n<strong>\u8a3c\u660e\uff1a<\/strong> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n=1<\/span><\/span> \u306e\u5834\u5408\u3092\u898b\u3066\u307f\u308b\u3068\u3001<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">11^1 - 4^1 = 7<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3053\u308c\u306f\u660e\u3089\u304b\u306b 7 \u3067\u5272\u308a\u5207\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u6b21\u306b\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">11^n - 4^n<\/span><\/span> \u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n=k<\/span><\/span> \u306b\u5bfe\u3057\u3066\u5272\u308a\u5207\u308c\u308b\u3068\u4eee\u5b9a\u3057\u307e\u3059\u3002\u3053\u306e\u4eee\u5b9a\u304b\u3089\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n=k+1<\/span><\/span> \u306b\u5bfe\u3057\u3066\u3082\u540c\u69d8\u306b\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u8a3c\u660e\u3057\u307e\u3059\u3002\u305d\u306e\u624b\u9806\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\uff1a<\/p>\n<table\">\n<tbody>\n<tr>\n<td style=\"text-align: right;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">11^{k+1} - 4^{k+1}<\/span><\/span><\/td>\n<td style=\"text-align: left;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">=11 \\cdot 11^{k} - 4 \\cdot 4^{k}<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: right;\"><\/td>\n<td style=\"text-align: left;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">=11 \\cdot 11^{k} - (11-7) \\cdot 4^{k}<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: right;\"><\/td>\n<td style=\"text-align: left;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">=11 \\cdot 11^{k} - 11 \\cdot 4^{k} + 7\\cdot 4^{k}<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: right;\"><\/td>\n<td style=\"text-align: left;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">=11 ( 11^{k} - 4^{k} ) + 7\\cdot 4^{k}<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u3057\u305f\u304c\u3063\u3066\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">11^k - 4^k<\/span><\/span> \u304c 7 \u3067\u5272\u308a\u5207\u308c\u308b\u306a\u3089\u3070\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">11 ( 11^{k} - 4^{k} ) + 7\\cdot 4^{k}<\/span><\/span> \u3082\u5272\u308a\u5207\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u3059\u306a\u308f\u3061\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">11^{k+1} - 4^{k+1}<\/span><\/span> \u3082 7 \u3067\u5272\u308a\u5207\u308c\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002\u3053\u306e\u7d50\u679c\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k=1<\/span><\/span> \u306b\u5bfe\u3057\u3066\u5272\u308a\u5207\u308c\u308b\u306a\u3089\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k=2, k=3, k=4,\\cdots<\/span><\/span> \u3068\u7d9a\u3044\u3066\u3001\u3059\u3079\u3066\u306e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n\\in\\mathbb{N}<\/span><\/span> \u306b\u5bfe\u3057\u3066\u5272\u308a\u5207\u308c\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306a\u5834\u5408\u3001\u5e30\u7d0d\u6cd5\u304c\u5b8c\u4e86\u3057\u305f\u3068\u3044\u3044\u307e\u3059\u3002\u25a0<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u547d\u984c\u8ad6\u7406\u306b\u304a\u3051\u308b\u5e30\u7d0d\u6cd5\u306b\u3088\u308b\u8a3c\u660e<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=eJQcNPrKyW0&amp;t=775s\" target=\"_blank\" rel=\"noopener\"><strong>\u3053\u308c\u304b\u3089\u884c\u3046\u5e30\u7d0d\u6cd5\u306b\u3088\u308b\u8a3c\u660e\u306e\u305f\u3081\u306b\u3001<\/strong><\/a>\u307e\u305a\u6b21\u306e\u8a18\u6cd5\u4e0a\u306e\u7d04\u675f\u3092\u5c0e\u5165\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\"><strong>\u8a18\u6cd5\uff1a<\/strong> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_1,\\cdots, F_n<\/span><\/span> \u3092\u547d\u984c\u8ad6\u7406\u306b\u304a\u3051\u308b\u4efb\u610f\u306e\u6709\u9650\u500b\u306e\u5f0f\u3068\u3059\u308b\u3002\u3053\u306e\u3068\u304d\u3001\u305d\u308c\u3089\u306e\u9023\u8a00\uff08AND\uff09\u3068\u9078\u8a00\uff08OR\uff09\u306f\u6b21\u306e\u3088\u3046\u306b\u8a18\u8ff0\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\bigwedge_{i=1}^n F_i := F_1\\wedge \\cdots \\wedge F_n<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\bigvee_{i=1}^n F_i := F_1\\vee \\cdots \\vee F_n<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3053\u308c\u306b\u3088\u308a\u3001\u6b21\u306b\u793a\u30592\u3064\u306e\u4e00\u822c\u5316\u3055\u308c\u305f\u5f62\u5f0f\u3092\u6271\u3046\u3053\u3068\u304c\u53ef\u80fd\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h2>\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u306e\u4e00\u822c\u5f62<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=eJQcNPrKyW0&amp;t=829s\" target=\"_blank\" rel=\"noopener\"><strong>\u547d\u984c\u8ad6\u7406\u306b\u304a\u3051\u308b\u6709\u9650\u500b\u306e\u5f0f\u306e\u96c6\u5408\u304c\u4e0e\u3048\u3089\u308c\u305f\u3068\u304d\u3001<\/strong><\/a> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_1,\\cdots, F_n,<\/span><\/span> \u5e38\u306b\u6b21\u306e2\u3064\u306e\u6027\u8cea\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\neg\\left(\\bigwedge_{i=1}^n F_i \\right) \\equiv \\left( \\bigvee_{i=1}^n \\neg F_i \\right)<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\neg\\left(\\bigvee_{i=1}^n F_i \\right) \\equiv \\left( \\bigwedge_{i=1}^n \\neg F_i \\right)<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><strong>\u8a3c\u660e\uff1a<\/strong> \u6700\u521d\u306b\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u306b\u95a2\u3059\u308b\u5e30\u7d0d\u6cd5\u3092\u7528\u3044\u3066 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg\\left(\\bigwedge_{i=1}^n F_i \\right) \\equiv \\left( \\bigvee_{i=1}^n \\neg F_i \\right)<\/span><\/span> \u3092\u8a3c\u660e\u3057\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u307e\u305a\u521d\u671f\u306e\u5834\u5408 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n=1<\/span><\/span> \u3092\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002\u3053\u306e\u5834\u5408\u3001\u6b21\u304c\u660e\u3089\u304b\u306b\u6210\u308a\u7acb\u3061\u307e\u3059\uff1a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg F_1 \\equiv \\neg\\left(\\bigwedge_{i=1}^1F_i\\right)\\equiv \\left(\\bigvee_{i=1}^n \\neg F_i \\right) \\equiv\\neg F_1<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u6b21\u306b\u3001\u3042\u308b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n=k<\/span><\/span> \u306b\u5bfe\u3057\u3066\u3053\u306e\u6027\u8cea\u304c\u6210\u308a\u7acb\u3064\u3068\u4eee\u5b9a\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6709\u9650\u500b\u306e\u5f0f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_1, F_2, \\cdots, F_k<\/span><\/span> \u306b\u5bfe\u3057\u3066\u6b21\u304c\u6210\u308a\u7acb\u3064\u3068\u3057\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\neg\\left(\\bigwedge_{i=1}^k F_i\\right) \\equiv \\left(\\bigvee_{i=1}^k \\neg F_i\\right)<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3053\u306e\u3068\u304d\u3001\u6b21\u306e\u3053\u3068\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u8a3c\u660e\u3057\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\neg\\left(\\bigwedge_{i=1}^{k+1} F_i\\right) \\equiv \\left(\\bigvee_{i=1}^{k+1} \\neg F_i\\right)<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u9023\u8a00\u306e\u5b9a\u7fa9\u3092\u7528\u3044\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\neg\\left(\\bigwedge_{i=1}^{k+1} F_i\\right) := \\neg\\left[\\left(\\bigwedge_{i=1}^{k} F_i\\right) \\wedge F_{k+1}\\right]<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3053\u306e\u5f0f\u306b\u5bfe\u3057\u3066\u3001\u901a\u5e38\u306e2\u9805\u306b\u5bfe\u3059\u308b\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u3092\u9069\u7528\u3059\u308b\u3068\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\neg\\left(\\bigwedge_{i=1}^{k+1} F_i\\right)\\equiv \\left[\\neg\\left(\\bigwedge_{i=1}^{k} F_i\\right) \\vee \\neg F_{k+1}\\right]<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3053\u3053\u3067\u3001\u5e30\u7d0d\u6cd5\u306e\u4eee\u5b9a\u3092\u9069\u7528\u3059\u308c\u3070\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\neg\\left(\\bigwedge_{i=1}^{k+1} F_i\\right)\\equiv \\left[ \\left(\\bigvee_{i=1}^k \\neg F_i\\right) \\vee \\neg F_{k+1}\\right] := \\left(\\bigvee_{i=1}^{k+1}\\neg F_i \\right)<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u5e30\u7d0d\u6cd5\u306f\u5b8c\u4e86\u3057\u3066\u304a\u308a\u3001\u3053\u306e\u6027\u8cea\u306f\u3059\u3079\u3066\u306e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u306b\u5bfe\u3057\u3066\u6210\u308a\u7acb\u3064\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u30022\u3064\u76ee\u306e\u95a2\u4fc2\u5f0f\u306b\u3064\u3044\u3066\u3082\u3001\u5b8c\u5168\u306b\u540c\u69d8\u306a\u65b9\u6cd5\u3067\u8a3c\u660e\u3067\u304d\u308b\u306e\u3067\u3001\u3053\u308c\u306f\u8aad\u8005\u3078\u306e\u7df4\u7fd2\u554f\u984c\u3068\u3057\u3066\u6b8b\u3057\u3066\u304a\u304d\u307e\u3059\u3002\u30e0\u30cf\u30cf\u30cf\uff01<\/p>\n<p><a name=\"5\"><\/a><\/p>\n<h2>\u5206\u914d\u6cd5\u5247\u306e\u4e00\u822c\u5f62<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=eJQcNPrKyW0&amp;t=1205s\" target=\"_blank\" rel=\"noopener\"><strong>\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u3068\u540c\u69d8\u306b\u3001<\/strong><\/a> \u5206\u914d\u6cd5\u5247\u3082\u6b21\u306e\u3088\u3046\u306b\u4e00\u822c\u5316\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{F_1, \\cdots, F_n\\}<\/span><\/span> \u304a\u3088\u3073 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{G_1,\\cdots, G_m\\}<\/span><\/span> \u3092\u4efb\u610f\u306e\u6709\u9650\u96c6\u5408\u306e\u547d\u984c\u8ad6\u7406\u5f0f\u3068\u3059\u308b\u3068\u3001\u6b21\u306e\u7b49\u4fa1\u95a2\u4fc2\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^m G_j \\right) \\right] \\equiv \\left[\\bigwedge_{i=1}^n\\left(\\bigwedge_{j=1}^m(F_i\\vee G_j) \\right) \\right]<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigvee_{i=1}^n F_i \\right) \\wedge \\left(\\bigvee_{j=1}^m G_j \\right) \\right] \\equiv \\left[\\bigvee_{i=1}^n\\left(\\bigvee_{j=1}^m(F_i\\wedge G_j) \\right) \\right]<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><strong>\u8a3c\u660e\uff1a<\/strong> \u3053\u306e\u8a3c\u660e\u3092\u69cb\u6210\u3059\u308b\u306b\u306f\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u3068 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m<\/span><\/span> \u306b\u95a2\u3059\u308b\u4e8c\u91cd\u306e\u5e30\u7d0d\u6cd5\u3092\u7528\u3044\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u307e\u305a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u306b\u95a2\u3057\u3066\u3001\u305d\u306e\u5f8c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m<\/span><\/span> \u306b\u95a2\u3057\u3066\u5e30\u7d0d\u6cd5\u3092\u884c\u3044\u307e\u3059\u3002\u5bfe\u8c61\u3068\u306a\u308b\u7b49\u5f0f\u306f\u4ee5\u4e0b\u3067\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^m G_j \\right) \\right] \\equiv \\left[\\bigwedge_{i=1}^n\\left(\\bigwedge_{j=1}^m(F_i\\vee G_j) \\right) \\right]<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u307e\u305a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m=1<\/span><\/span> \u306e\u5834\u5408\u3092\u8003\u3048\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u4e0a\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u66f8\u304d\u63db\u3048\u3089\u308c\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^1 G_j \\right) \\right] \\equiv \\left[\\bigwedge_{i=1}^n\\left(\\bigwedge_{j=1}^1(F_i\\vee G_j) \\right) \\right].<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3053\u308c\u306f\u6b21\u306e\u3088\u3046\u306b\u8a00\u3044\u63db\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee G_1 \\right] \\equiv \\left[\\bigwedge_{i=1}^n\\left( F_i\\vee G_1 \\right) \\right].<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3053\u3053\u3067\u3001\u3053\u306e\u7b49\u5f0f\u3092 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u306b\u95a2\u3059\u308b\u5e30\u7d0d\u6cd5\u3067\u8a3c\u660e\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u307e\u305a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n=1<\/span><\/span> \u306e\u5834\u5408\u3092\u8003\u3048\u308b\u3068\u3001\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u5358\u7d14\u5316\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_1 \\vee G_1 \\equiv F_1 \\vee G_1.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3053\u308c\u306f\u660e\u3089\u304b\u306b\u6b63\u3057\u3044\u3067\u3059\u3002\u6b21\u306b\u3001\u3042\u308b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n=k<\/span><\/span> \u306b\u5bfe\u3057\u3066\u547d\u984c\u304c\u6210\u308a\u7acb\u3064\u3068\u4eee\u5b9a\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u5e30\u7d0d\u6cd5\u306e\u4eee\u5b9a\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^k F_i \\right) \\vee G_1 \\right] \\equiv \\left[\\bigwedge_{i=1}^k\\left( F_i\\vee G_1 \\right) \\right].<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3053\u3053\u304b\u3089 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n=k+1<\/span><\/span> \u306b\u5bfe\u3057\u3066\u3082\u3053\u306e\u95a2\u4fc2\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u9023\u8a00\u306e\u5b9a\u7fa9\u304b\u3089\u6b21\u306e\u3088\u3046\u306b\u66f8\u3051\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[\\left(\\bigwedge_{i=1}^{k+1}F_i \\right) \\vee G_1 \\right] := \\left[\\left(\\left(\\bigwedge_{i=1}^{k}F_i \\right)\\wedge F_{k+1} \\right) \\vee G_1 \\right] <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3053\u3053\u3067\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vee<\/span><\/span> \u306b\u95a2\u3059\u308b\u5206\u914d\u6cd5\u5247\u3092\u7528\u3044\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[\\left(\\bigwedge_{i=1}^{k+1}F_i \\right) \\vee G_1 \\right] \\equiv \\left[\\left(\\left(\\bigwedge_{i=1}^{k}F_i \\right)\\vee G_{1} \\right) \\wedge \\left(F_{k+1} \\vee G_1 \\right) \\right] <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3061\u3087\u3046\u3069\u3053\u306e\u6642\u70b9\u3067\u3001\u5e30\u7d0d\u6cd5\u306e\u4eee\u5b9a\u3092\u7528\u3044\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[\\left(\\bigwedge_{i=1}^{k+1}F_i \\right) \\vee G_1 \\right] \\equiv \\left[\\left(\\bigwedge_{i=1}^k\\left( F_i\\vee G_1 \\right) \\right) \\wedge \\left(F_{k+1} \\vee G_1 \\right) \\right] := \\left[\\bigwedge_{i=1}^{k+1}(F_{i}\\vee G_1 \\right] <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3057\u305f\u304c\u3063\u3066\u3001\u3059\u3079\u3066\u306e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n\\in\\mathbb{N}<\/span><\/span> \u306b\u5bfe\u3057\u3066\u6b21\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u304c\u5e30\u7d0d\u6cd5\u306b\u3088\u308a\u8a3c\u660e\u3055\u308c\u307e\u3057\u305f\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right)\\vee G_1\\right] \\equiv \\left[\\bigwedge_{i=1}^n(F_i\\vee G_1)\\right]<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3053\u308c\u306b\u3088\u308a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u306b\u95a2\u3059\u308b\u5e30\u7d0d\u6cd5\u304c\u5b8c\u4e86\u3057\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m=1<\/span><\/span> \u306e\u521d\u671f\u30b1\u30fc\u30b9\u3082\u78ba\u8a8d\u3055\u308c\u307e\u3057\u305f\u3002\u6b21\u306b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m<\/span><\/span> \u306b\u95a2\u3059\u308b\u5e30\u7d0d\u6cd5\u3092\u5b8c\u6210\u3055\u305b\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u306b\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m=l<\/span><\/span> \u306b\u304a\u3044\u3066\u547d\u984c\u304c\u6210\u308a\u7acb\u3064\u3068\u4eee\u5b9a\u3057\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^l G_j \\right) \\right] \\equiv \\left[\\bigwedge_{i=1}^n\\left(\\bigwedge_{j=1}^l(F_i\\vee G_j) \\right) \\right]<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3053\u306e\u4eee\u5b9a\u304b\u3089\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m=l+1<\/span><\/span> \u306b\u5bfe\u3057\u3066\u3082\u547d\u984c\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u3044\u3064\u3082\u306e\u3088\u3046\u306b\u3001\u9023\u8a00\u306e\u5b9a\u7fa9\u304b\u3089\u59cb\u3081\u308b\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^{l+1} G_j \\right) \\right] := \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\left(\\bigwedge_{j=1}^{l} G_j \\right) \\wedge G_{l+1}\\right) \\right] <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3053\u3053\u3067\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vee<\/span><\/span> \u306b\u95a2\u3059\u308b\u5206\u914d\u6cd5\u5247\u3092\u4f7f\u3046\u3068\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^{l+1} G_j \\right) \\right] \\equiv \\left[ \\left( \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left( \\bigwedge_{j=1}^l G_j \\right) \\right) \\wedge \\left( \\left( \\bigwedge_{i=1}^n F_i \\right)\\vee G_{l+1} \\right) \\right] <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3057\u305f\u304c\u3063\u3066\u3001\u5e30\u7d0d\u6cd5\u306e\u4eee\u5b9a\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u6b21\u306e\u3088\u3046\u306b\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^{l+1} G_j \\right) \\right] \\equiv \\left[ \\bigwedge_{i=1}^n\\left(\\bigwedge_{j=1}^l(F_i\\vee G_j) \\right) \\wedge \\left( \\left( \\bigwedge_{i=1}^n F_i \\right)\\vee G_{l+1} \\right) \\right] <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u305d\u3057\u3066\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u306b\u95a2\u3059\u308b\u5e30\u7d0d\u6cd5\u306e\u7d50\u679c\u3092\u7528\u3044\u308c\u3070\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^{l+1} G_j \\right) \\right] \\equiv \\left[ \\bigwedge_{i=1}^n\\left(\\bigwedge_{j=1}^l(F_i\\vee G_j) \\right) \\wedge \\left( \\bigwedge_{i=1}^n (F_i \\vee G_{l+1} )\\right) \\right] <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3053\u306e\u6700\u5f8c\u306e\u5f0f\u306f\u3001\u9023\u8a00\u306e\u5b9a\u7fa9\u304b\u3089\u6b21\u306e\u3088\u3046\u306b\u66f8\u3051\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^{l+1} G_j \\right) \\right] \\equiv \\left[ \\bigwedge_{i=1}^n\\left(\\bigwedge_{j=1}^{l+1}(F_i\\vee G_j) \\right) \\right] <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3057\u305f\u304c\u3063\u3066\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m<\/span><\/span> \u306b\u95a2\u3059\u308b\u5e30\u7d0d\u6cd5\u3082\u5b8c\u4e86\u3057\u3001\u6b21\u306e\u7b49\u5f0f\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u304c\u793a\u3055\u308c\u307e\u3057\u305f\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left[ \\left(\\bigwedge_{i=1}^n F_i \\right) \\vee \\left(\\bigwedge_{j=1}^{m} G_j \\right) \\right] \\equiv \\left[ \\bigwedge_{i=1}^n\\left(\\bigwedge_{j=1}^{m}(F_i\\vee G_j) \\right) \\right] <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3053\u308c\u306f\u3059\u3079\u3066\u306e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n,m\\in\\mathbb{N}<\/span><\/span> \u306b\u5bfe\u3057\u3066\u6709\u52b9\u3067\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u3053\u306e\u5e30\u7d0d\u6cd5\u306b\u3088\u308b\u8a3c\u660e\u306e\u63a2\u7a76\u3092\u901a\u3058\u3066\u3001\u53b3\u5bc6\u306a\u6570\u5b66\u7684\u8a3c\u660e\u6280\u6cd5\u304c\u81ea\u7136\u6570\u306e\u9818\u57df\u3060\u3051\u3067\u306a\u304f\u3001\u547d\u984c\u8ad6\u7406\u306e\u9818\u57df\u306b\u3082\u9069\u7528\u53ef\u80fd\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3057\u305f\u3002\u5e30\u7d0d\u6cd5\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u304a\u3088\u3073\u5206\u914d\u6cd5\u5247\u306e\u4e00\u822c\u5f62\u306e\u59a5\u5f53\u6027\u3092\u78ba\u7acb\u3057\u3001\u6570\u5b66\u306e\u3055\u307e\u3056\u307e\u306a\u5206\u91ce\u306b\u5b58\u5728\u3059\u308b\u8ad6\u7406\u7684\u57fa\u76e4\u3078\u306e\u7406\u89e3\u3092\u5f37\u5316\u3057\u307e\u3057\u305f\u3002\u3053\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u306f\u3001\u62bd\u8c61\u7684\u306a\u63a8\u8ad6\u80fd\u529b\u306e\u767a\u5c55\u306b\u3068\u3063\u3066\u4e0d\u53ef\u6b20\u3067\u3042\u308b\u3060\u3051\u3067\u306a\u304f\u3001\u6570\u5b66\u304a\u3088\u3073\u305d\u308c\u3092\u8d85\u3048\u305f\u8907\u96d1\u306a\u554f\u984c\u306b\u53d6\u308a\u7d44\u3080\u305f\u3081\u306e\u5f37\u529b\u306a\u9053\u5177\u3068\u3082\u306a\u308a\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5e30\u7d0d\u6cd5\u306b\u3088\u308b\u8a3c\u660e\uff1a\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u3068\u5206\u914d\u6cd5\u5247\u306e\u4e00\u822c\u5316 \u8981\u7d04\u3053\u306e\u6388\u696d\u3067\u306f\u3001\u6570\u5b66\u304a\u3088\u3073\u547d\u984c\u8ad6\u7406\u306b\u304a\u3051\u308b\u5e30\u7d0d\u6cd5\u306b\u3088\u308b\u8a3c\u660e\u306e\u30c6\u30fc\u30de\u3092\u6271\u3044\u307e\u3059\u3002\u5b58\u5728\u3059\u308b2\u7a2e\u985e\u306e\u8a3c\u660e\u3001\u3059\u306a\u308f\u3061\u8ad6\u7406\u306e\u898f\u5247\u306b\u57fa\u3065\u304f\u5185\u90e8\u7684\u307e\u305f\u306f\u6f14\u7e79\u7684\u8a3c\u660e\u3068\u3001\u8ad6\u7406\u305d\u306e\u3082\u306e\u306b\u95a2\u308f\u308b\u547d\u984c\u3092\u8a3c\u660e\u3059\u308b\u305f\u3081\u306b\u5fc5\u8981\u306a\u5916\u90e8\u7684\u307e\u305f\u306f\u30e1\u30bf\u6570\u5b66\u7684\u8a3c\u660e\u304c\u8aac\u660e\u3055\u308c\u307e\u3059\u3002\u6570\u5b66\u7684\u5e30\u7d0d\u6cd5\u306f\u3001\u3042\u308b\u547d\u984c\u304c\u3059\u3079\u3066\u306e\u81ea\u7136\u6570\u306b\u5bfe\u3057\u3066\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u793a\u3059\u305f\u3081\u306e\u8a3c\u660e\u624b\u6cd5\u3068\u3057\u3066\u5c0e\u5165\u3055\u308c\u307e\u3059\u3002\u5177\u4f53\u7684\u306a\u8a3c\u660e\u306e\u4f8b\u304c\u63d0\u793a\u3055\u308c\u3001\u547d\u984c\u8ad6\u7406\u306b\u304a\u3051\u308b\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u304a\u3088\u3073\u5206\u914d\u6cd5\u5247\u306e\u4e00\u822c\u5f62\u304c\u7d39\u4ecb\u3055\u308c\u3001\u305d\u308c\u305e\u308c\u5e30\u7d0d\u6cd5\u306b\u3088\u3063\u3066\u8a3c\u660e\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u6388\u696d\u306f\u3001\u6570\u5b66\u3068\u8ad6\u7406\u306e\u57fa\u790e\u3092\u7406\u89e3\u3057\u3001\u305d\u308c\u3092\u3055\u307e\u3056\u307e\u306a\u77e5\u8b58\u5206\u91ce\u306b\u5fdc\u7528\u3059\u308b\u305f\u3081\u306b\u975e\u5e38\u306b\u91cd\u8981\u3067\u3059\u3002 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