{"id":27438,"date":"2021-01-28T13:00:31","date_gmt":"2021-01-28T13:00:31","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=27438"},"modified":"2024-07-09T02:49:22","modified_gmt":"2024-07-09T02:49:22","slug":"5-%d8%aa%d9%86%d8%a7%d8%b8%d8%b1%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d9%86%d8%b7%d9%82-%d8%a7%d9%84%d8%a7%d9%82%d8%aa%d8%b1%d8%a7%d8%ad%d9%8a","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ar\/5-%d8%aa%d9%86%d8%a7%d8%b8%d8%b1%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d9%86%d8%b7%d9%82-%d8%a7%d9%84%d8%a7%d9%82%d8%aa%d8%b1%d8%a7%d8%ad%d9%8a\/","title":{"rendered":"5 \u062a\u0646\u0627\u0638\u0631\u0627\u062a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u062d\u064a"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>5 \u062a\u0646\u0627\u0638\u0631\u0627\u062a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u062d\u064a<\/h1>\n<p><\/center><\/p>\n<p style=\"text-align:center;\"><em><strong>\u0627\u0644\u0645\u0644\u062e\u0635:<\/strong><br \/>\u0639\u0644\u0649 \u0645\u062f\u0627\u0631 \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u0633\u0646\u0633\u062a\u0643\u0634\u0641 \u0643\u064a\u0641 \u064a\u062a\u062d\u062f \u0627\u0644\u0646\u0641\u064a \u0627\u0644\u0645\u0632\u062f\u0648\u062c\u060c \u0627\u0644\u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u064a\u060c \u0627\u0644\u0636\u062f \u0627\u0644\u062a\u0628\u0627\u062f\u0644\u064a \u0644\u0644\u062a\u0636\u0645\u064a\u0646\u060c \u0627\u0644\u0646\u0638\u0631\u064a\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644\u064a\u0629 \u0648\u062a\u0639\u0631\u064a\u0641\u0627\u062a \u0627\u0644\u0631\u0648\u0627\u0628\u0637 \u0644\u062a\u0634\u0643\u064a\u0644 \u062a\u0646\u0627\u0638\u0631\u0627\u062a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u062d\u064a. \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0641\u0633\u064a\u0631\u0627\u062a \u0648\u0627\u0636\u062d\u0629 \u0648\u0628\u0633\u064a\u0637\u0629\u060c \u0633\u062a\u062a\u0639\u0644\u0645 \u0643\u064a\u0641\u064a\u0629 \u0625\u062a\u0642\u0627\u0646 \u0627\u0644\u062a\u0643\u0627\u0641\u0624\u0627\u062a \u0648\u062a\u0637\u0628\u064a\u0642\u0647\u0627 \u0641\u064a \u062a\u062d\u062f\u064a\u0627\u062a\u0643 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629.<\/p>\n<p>\u062a\u0634\u0645\u0644 \u0627\u0644\u062a\u0646\u0627\u0638\u0631\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0645 \u062a\u0646\u0627\u0648\u0644\u0647\u0627 \u0641\u064a \u0627\u0644\u062d\u0635\u0629: <span class=\"katex-eq\" data-katex-display=\"false\">\\downarrow<\/span>-\u062a\u0646\u0627\u0638\u0631\u060c <span class=\"katex-eq\" data-katex-display=\"false\">\\vee<\/span>-\u062a\u0646\u0627\u0638\u0631\u060c <span class=\"katex-eq\" data-katex-display=\"false\">\\wedge<\/span>-\u062a\u0646\u0627\u0638\u0631\u060c <span class=\"katex-eq\" data-katex-display=\"false\">\\leftrightarrow<\/span>-\u062a\u0646\u0627\u0638\u0631 \u0648<span class=\"katex-eq\" data-katex-display=\"false\">\\veebar<\/span>-\u062a\u0646\u0627\u0638\u0631. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u064a\u062a\u0645 \u062a\u0633\u0644\u064a\u0637 \u0627\u0644\u0636\u0648\u0621 \u0639\u0644\u0649 \u0627\u0644\u062a\u0641\u0627\u0639\u0644\u0627\u062a \u0628\u064a\u0646 \u0627\u0644\u062a\u0641\u0633\u064a\u0631\u0627\u062a \u0648\u0643\u064a\u0641\u064a\u0629 \u0627\u0639\u062a\u0645\u0627\u062f \u0643\u0644 \u0645\u0646\u0647\u0627 \u0639\u0644\u0649 \u0633\u0627\u0628\u0642\u0647 \u0644\u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629. \u0644\u0646 \u062a\u0648\u0641\u0631 \u0644\u0643 \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629 \u0645\u0639\u0631\u0641\u0629 \u0639\u0645\u064a\u0642\u0629 \u0628\u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u062d\u064a \u0641\u062d\u0633\u0628\u060c \u0628\u0644 \u0633\u062a\u0639\u0644\u0645\u0643 \u0623\u064a\u0636\u064b\u0627 \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0641\u0633\u064a\u0631\u0627\u062a \u0627\u0644\u0633\u0627\u0628\u0642\u0629 \u0644\u062a\u062d\u0633\u064a\u0646 \u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u062a\u0639\u0644\u0645 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0643.<br \/>\n<\/em><\/p>\n<p style=\"text-align:center;\"><strong><u>\u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0645<\/u>:<\/strong><br \/>\u0628\u0646\u0647\u0627\u064a\u0629 \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0637\u0627\u0644\u0628 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649<\/p>\n<ol>\n<li><strong>\u062a\u0630\u0643\u0631<\/strong> \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u062d\u064a\u060c \u0645\u062b\u0644 \u0627\u0644\u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u064a \u0648\u0627\u0644\u0646\u0641\u064a \u0627\u0644\u0645\u0632\u062f\u0648\u062c.<\/li>\n<li><strong>\u0627\u0644\u062a\u0639\u0631\u0641 \u0639\u0644\u0649<\/strong> 5 \u062a\u0646\u0627\u0638\u0631\u0627\u062a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u062d\u064a.<\/li>\n<li><strong>\u0641\u0647\u0645<\/strong> \u0639\u0645\u0644\u064a\u0629 \u0625\u062b\u0628\u0627\u062a \u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u062a\u0646\u0627\u0638\u0631\u0627\u062a.<\/li>\n<li><strong>\u062a\u0637\u0628\u064a\u0642<\/strong> \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u060c \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0648\u0645\u0639\u0643\u0648\u0633\u0647\u0627 \u0641\u064a \u0627\u0644\u062a\u0641\u0633\u064a\u0631\u0627\u062a.<\/li>\n<li><strong>\u0631\u0628\u0637<\/strong> \u062a\u0639\u0631\u064a\u0641\u0627\u062a \u0627\u0644\u0631\u0648\u0627\u0628\u0637 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0628\u0627\u0644\u062a\u0646\u0627\u0638\u0631\u0627\u062a.<\/li>\n<li><strong>\u062a\u0642\u062f\u064a\u0631<\/strong> \u0623\u0647\u0645\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u062a\u0641\u0633\u064a\u0631\u0627\u062a \u0645\u0631\u0629 \u0648\u0627\u062d\u062f\u0629 \u0648\u0625\u0639\u0627\u062f\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0641\u064a \u0627\u0644\u062a\u0641\u0633\u064a\u0631\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629.<\/li>\n<li><strong>\u062a\u0637\u0648\u064a\u0631<\/strong> \u0645\u0647\u0627\u0631\u0627\u062a \u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0648\u0646\u0642\u062f\u064a\u0629 \u0639\u0646\u062f \u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u062a\u0641\u0633\u064a\u0631\u0627\u062a \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629.<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong>\u0641\u0647\u0631\u0633 \u0627\u0644\u0645\u062d\u062a\u0648\u064a\u0627\u062a<\/strong><br \/>\n<a href=\"#1\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vee<\/span> &#8211; \u062a\u0646\u0627\u0638\u0631<\/a><br \/>\n<a href=\"#2\"><span class=\"katex-eq\" data-katex-display=\"false\">\\downarrow<\/span> &#8211; \u062a\u0646\u0627\u0638\u0631<\/a><br \/>\n<a href=\"#3\"><span class=\"katex-eq\" data-katex-display=\"false\">\\wedge<\/span> &#8211; \u062a\u0646\u0627\u0638\u0631<\/a><br \/>\n<a href=\"#4\"><span class=\"katex-eq\" data-katex-display=\"false\">\\leftrightarrow<\/span> &#8211; \u062a\u0646\u0627\u0638\u0631<\/a><br \/>\n<a href=\"#5\"><span class=\"katex-eq\" data-katex-display=\"false\">\\veebar<\/span> &#8211; \u062a\u0646\u0627\u0638\u0631<\/a><br \/>\n<a href=\"#6\">\u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629<\/a>\n<\/p>\n<p><center><br \/>\n<iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/XKY_nS5Mizk\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center>\n<\/div>\n<p style=\"text-align: justify; color: #000000;\">\u0646\u062a\u064a\u062c\u0629 \u0645\u0628\u0627\u0634\u0631\u0629 \u0644\u0644\u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u064a\u060c \u0627\u0644\u0646\u0641\u064a \u0627\u0644\u0645\u0632\u062f\u0648\u062c \u0648\u0627\u0644\u0636\u062f \u0627\u0644\u062a\u0628\u0627\u062f\u0644\u064a \u0644\u0644\u062a\u0636\u0645\u064a\u0646\u060c \u0627\u0644\u0646\u0638\u0631\u064a\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644\u064a\u0629 \u0648\u062a\u0639\u0631\u064a\u0641\u0627\u062a \u0627\u0644\u0631\u0648\u0627\u0628\u0637 \u0647\u064a \u0627\u0644\u062a\u0646\u0627\u0638\u0631\u0627\u062a \u0627\u0644\u062e\u0645\u0633\u0629 \u0644\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u062d\u064a \u0627\u0644\u062a\u064a \u0633\u0646\u0631\u0627\u062c\u0639\u0647\u0627 \u0644\u0627\u062d\u0642\u064b\u0627.<\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\downarrow \\beta) \\dashv\\vdash (\\beta\\downarrow \\alpha)<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\downarrow<\/span><\/span>-\u062a\u0646\u0627\u0638\u0631<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\vee \\beta) \\dashv\\vdash (\\beta\\vee \\alpha)<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vee<\/span><\/span>-\u062a\u0646\u0627\u0638\u0631<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\wedge \\beta) \\dashv\\vdash (\\beta\\wedge \\alpha)<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\wedge<\/span><\/span>-\u062a\u0646\u0627\u0638\u0631<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\leftrightarrow \\beta) \\dashv\\vdash (\\beta\\leftrightarrow \\alpha)<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\leftrightarrow<\/span><\/span>-\u062a\u0646\u0627\u0638\u0631<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\veebar \\beta) \\dashv\\vdash (\\beta\\veebar\\alpha)<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\veebar<\/span><\/span>-\u062a\u0646\u0627\u0638\u0631<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u0625\u062b\u0628\u0627\u062a\u0627\u062a \u0647\u0630\u0647 \u0627\u0644\u062a\u0643\u0627\u0641\u0624\u0627\u062a \u0644\u064a\u0633\u062a \u0643\u0644\u0647\u0627 \u0628\u062f\u064a\u0647\u064a\u0629\u060c \u0644\u0643\u0646 \u0639\u0644\u0649 \u0639\u0643\u0633 \u0628\u0639\u0636 \u0627\u0644\u062a\u0641\u0633\u064a\u0631\u0627\u062a \u0627\u0644\u062a\u064a \u0631\u0623\u064a\u0646\u0627\u0647\u0627 \u0628\u0627\u0644\u0641\u0639\u0644\u060c \u0641\u0647\u064a \u0628\u0633\u064a\u0637\u0629 \u062c\u062f\u064b\u0627. \u0641\u064a \u0645\u0627 \u064a\u0644\u064a \u0639\u0631\u0636 \u0644\u0625\u062b\u0628\u0627\u062a \u0643\u0644 \u0645\u0646\u0647\u0627 \u0641\u064a \u0627\u062a\u062c\u0627\u0647 \u0648\u0627\u062d\u062f\u061b \u0627\u0644\u0625\u062b\u0628\u0627\u062a \u0641\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0627\u0644\u0639\u0643\u0633\u064a \u0647\u0648 \u0639\u0645\u0644\u064a\u064b\u0627 \u0645\u0645\u0627\u062b\u0644 \u0648\u064a\u062a\u0631\u0643 \u0643\u062a\u0645\u0631\u064a\u0646 \u0644\u0644\u0642\u0627\u0631\u0626 \u0644\u062a\u0646\u0641\u064a\u0630\u0647.<\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vee<\/span><\/span>-\u062a\u0646\u0627\u0638\u0631<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=XKY_nS5Mizk&#038;t=203s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0634\u0627\u0647\u062f<\/span><\/strong><\/a><\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(1)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\vee \\beta)\\}\\vdash (\\alpha \\vee\\beta)<\/span><\/span><\/td>\n<td>; \u0641\u0631\u0636\u064a\u0629<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(2)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\vee \\beta)\\}\\vdash (\\neg \\alpha \\rightarrow \\beta)<\/span><\/span><\/td>\n<td>; \u0644\u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\vee \\beta) := (\\neg \\alpha \\rightarrow \\beta)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(3)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\vee \\beta)\\}\\vdash (\\neg \\beta \\rightarrow \\alpha)<\/span><\/span><\/td>\n<td>; CPI(2)<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(4)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{\\{(\\alpha \\vee \\beta)\\}\\vdash ( \\beta \\vee \\alpha)}<\/span><\/span><\/td>\n<td>; \u0644\u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">( \\beta \\vee \\alpha) := (\\neg\\beta\\rightarrow\\alpha)<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0641\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0627\u0644\u0639\u0643\u0633\u064a \u064a\u062a\u0645 \u0628\u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0628\u0639\u0636 \u0627\u0644\u062a\u0639\u062f\u064a\u0644\u0627\u062a \u0627\u0644\u0642\u0644\u064a\u0644\u0629 \u0628\u062f\u0621\u064b\u0627 \u0645\u0646 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\beta\\vee\\alpha)\\}\\vdash (\\beta\\vee\\alpha)<\/span><\/span><\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\downarrow<\/span><\/span>-\u062a\u0646\u0627\u0638\u0631<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=XKY_nS5Mizk&#038;t=383s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0634\u0627\u0647\u062f<\/span><\/strong><\/a><\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(1)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{\\neg(\\alpha \\downarrow \\beta)\\}\\vdash \\neg(\\alpha \\downarrow \\beta) <\/span><\/span><\/td>\n<td>; \u0641\u0631\u0636\u064a\u0629<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(2)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\{\\neg(\\alpha \\downarrow \\beta)\\}\\vdash (\\alpha \\vee \\beta) <\/span><\/span><\/td>\n<td>; \u0645\u0646 (1) \u0644\u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> (\\alpha\\vee\\beta) := \\neg(\\alpha \\downarrow \\beta)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(3)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\{\\neg(\\alpha \\downarrow \\beta)\\}\\vdash (\\beta \\vee \\alpha) <\/span><\/span><\/td>\n<td>; <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vee<\/span><\/span>-\u062a\u0646\u0627\u0638\u0631<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(4)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\vdash (\\neg(\\alpha \\downarrow \\beta) \\rightarrow (\\beta \\vee \\alpha)) <\/span><\/span><\/td>\n<td>; TD(3)<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(5)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\vdash (\\neg(\\beta \\vee \\alpha) \\rightarrow (\\alpha \\downarrow \\beta)) <\/span><\/span><\/td>\n<td>; CPI(4)<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(6)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\vdash ((\\beta \\downarrow \\alpha) \\rightarrow (\\alpha \\downarrow \\beta)) <\/span><\/span><\/td>\n<td>; \u0645\u0646 (5) \u0644\u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\beta\\vee\\alpha) := \\neg(\\beta \\downarrow \\alpha)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(7)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{\\{(\\beta \\downarrow \\alpha) \\} \\vdash (\\alpha \\downarrow \\beta)}<\/span><\/span><\/td>\n<td>; RTD(6)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0641\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0627\u0644\u0639\u0643\u0633\u064a \u064a\u062a\u0645 \u0628\u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{\\neg(\\beta\\downarrow\\alpha)\\}\\vdash \\neg(\\beta\\downarrow\\alpha)<\/span><\/span><\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\wedge<\/span><\/span>-\u062a\u0646\u0627\u0638\u0631<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=XKY_nS5Mizk&#038;t=659s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0634\u0627\u0647\u062f<\/span><\/strong><\/a><\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(1)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\wedge \\beta)\\} \\vdash (\\alpha \\wedge \\beta)<\/span><\/span><\/td>\n<td>; \u0641\u0631\u0636\u064a\u0629<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(2)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\wedge \\beta)\\} \\vdash (\\neg\\alpha \\downarrow \\neg\\beta)<\/span><\/span><\/td>\n<td>; \u0645\u0646 (1) \u0644\u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\wedge \\beta) := (\\neg\\alpha \\downarrow \\neg\\beta)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(3)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\wedge \\beta)\\} \\vdash (\\neg\\beta \\downarrow \\neg\\alpha)<\/span><\/span><\/td>\n<td>; <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\downarrow<\/span><\/span>-\u062a\u0646\u0627\u0638\u0631 (2)<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(4)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{\\{(\\alpha \\wedge \\beta)\\} \\vdash ( \\beta \\wedge \\alpha)}<\/span><\/span><\/td>\n<td>; \u0645\u0646 (3) \u0644\u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\beta \\wedge \\alpha) := (\\neg\\beta \\downarrow \\neg\\alpha)<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u0645\u062b\u0644 \u0627\u0644\u0633\u0627\u0628\u0642\u060c \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0641\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0627\u0644\u0639\u0643\u0633\u064a \u064a\u062a\u0645 \u0628\u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{( \\beta \\wedge \\alpha)\\}\\vdash ( \\beta \\wedge \\alpha)<\/span><\/span><\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h2><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\leftrightarrow<\/span><\/span>-\u062a\u0646\u0627\u0638\u0631<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=XKY_nS5Mizk&#038;t=830s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0634\u0627\u0647\u062f<\/span><\/strong><\/a><\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(1)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\leftrightarrow \\beta)\\} \\vdash (\\alpha \\leftrightarrow \\beta)<\/span><\/span><\/td>\n<td>; \u0641\u0631\u0636\u064a\u0629<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(2)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\leftrightarrow \\beta)\\} \\vdash ((\\alpha \\rightarrow \\beta) \\wedge (\\alpha \\rightarrow \\beta))<\/span><\/span><\/td>\n<td>; \u0645\u0646 (1) \u0644\u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\leftrightarrow \\beta) := ((\\alpha \\rightarrow \\beta) \\wedge (\\beta \\rightarrow \\alpha)) <\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(3)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\leftrightarrow \\beta)\\} \\vdash ((\\beta \\rightarrow \\alpha) \\wedge (\\alpha \\rightarrow \\beta) )<\/span><\/span><\/td>\n<td>; <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\wedge<\/span><\/span>-\u062a\u0646\u0627\u0638\u0631(2)<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(4)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{\\{(\\alpha \\leftrightarrow \\beta)\\} \\vdash (\\beta \\leftrightarrow \\alpha)}<\/span><\/span><\/td>\n<td>; \u0645\u0646 (3) \u0644\u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\beta \\leftrightarrow \\alpha) := ((\\beta \\rightarrow \\alpha) \\wedge (\\alpha \\rightarrow \\beta)) <\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u0645\u062b\u0644 \u0627\u0644\u0633\u0627\u0628\u0642\u060c \u0644\u0643\u0646 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u062a\u0628\u062f\u0623 \u0645\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{( \\beta \\leftrightarrow \\alpha)\\}\\vdash ( \\beta\\leftrightarrow \\alpha)<\/span><\/span><\/p>\n<p><a name=\"5\"><\/a><\/p>\n<h2><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\veebar<\/span><\/span>-\u062a\u0646\u0627\u0638\u0631<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=XKY_nS5Mizk&#038;t=982s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0634\u0627\u0647\u062f<\/span><\/strong><\/a><\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(1)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\leftrightarrow \\beta)\\} \\vdash (\\alpha \\leftrightarrow \\beta) <\/span><\/span><\/td>\n<td>; \u0641\u0631\u0636\u064a\u0629<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(2)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\leftrightarrow \\beta)\\} \\vdash ( \\beta \\leftrightarrow \\alpha) <\/span><\/span><\/td>\n<td>; <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\leftrightarrow<\/span><\/span>-\u062a\u0646\u0627\u0638\u0631(1)<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(3)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\vdash ((\\alpha \\leftrightarrow \\beta) \\rightarrow ( \\beta \\leftrightarrow \\alpha)) <\/span><\/span><\/td>\n<td>; TD(2)<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(4)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\vdash (\\neg ( \\beta \\leftrightarrow \\alpha) \\rightarrow \\neg (\\alpha \\leftrightarrow \\beta)) <\/span><\/span><\/td>\n<td>; CPI(3)<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(5)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{\\neg ( \\beta \\leftrightarrow \\alpha)\\} \\vdash \\neg (\\alpha \\leftrightarrow \\beta) <\/span><\/span><\/td>\n<td>; RTD(4)<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(6)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{\\{ ( \\beta \\veebar \\alpha)\\} \\vdash (\\alpha \\veebar \\beta)} <\/span><\/span><\/td>\n<td>; \u0645\u0646 (5) \u0644\u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">( \\beta \\veebar \\alpha) := \\neg\\beta \\leftrightarrow \\alpha)<\/span><\/span> \u0648<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\veebar \\beta) := \\neg (\\alpha \\leftrightarrow \\beta)<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u0645\u062b\u0644 \u062c\u0645\u064a\u0639 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0623\u062e\u0631\u0649\u060c \u064a\u0643\u0641\u064a \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0641\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0627\u0644\u0639\u0643\u0633\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\beta \\leftrightarrow \\alpha)\\} \\vdash (\\beta \\leftrightarrow \\alpha)<\/span><\/span> \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0641\u064a \u0630\u0644\u0643 \u0627\u0644\u0627\u062a\u062c\u0627\u0647.<\/p>\n<p><a name=\"6\"><\/a><\/p>\n<h2>\u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=XKY_nS5Mizk&#038;t=1145s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u062c\u0627\u0646\u0628 \u064a\u062c\u0628 \u0623\u0646 \u064a\u0646\u062a\u0628\u0647 \u0625\u0644\u064a\u0647 \u0627\u0644\u0642\u0627\u0631\u0626<\/span><\/strong><\/a> \u0647\u0648 \u0627\u0644\u062a\u0631\u062a\u064a\u0628 \u0627\u0644\u0630\u064a \u062a\u0645 \u0627\u062e\u062a\u064a\u0627\u0631\u0647 \u0644\u0625\u062b\u0628\u0627\u062a \u0647\u0630\u0647 \u0627\u0644\u062a\u0646\u0627\u0638\u0631\u0627\u062a \u0627\u0644\u062e\u0645\u0633\u0629 \u0644\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u062d\u064a. \u0644\u0627\u062d\u0638 \u0623\u0646 \u0643\u0644 \u0625\u062b\u0628\u0627\u062a \u062a\u0645 \u0625\u0639\u062f\u0627\u062f\u0647 \u0628\u062d\u064a\u062b \u064a\u0633\u062a\u062e\u062f\u0645 \u0628\u0639\u0636 \u0627\u0644\u0625\u062b\u0628\u0627\u062a\u0627\u062a \u0627\u0644\u0633\u0627\u0628\u0642\u0629. \u0647\u0630\u0627 \u064a\u0639\u0643\u0633 \u0627\u0644\u0646\u0647\u062c \u0627\u0644\u0630\u064a \u064a\u062c\u0628 \u0627\u062a\u0628\u0627\u0639\u0647 \u0639\u0646\u062f \u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0625\u062b\u0628\u0627\u062a\u0627\u062a: \u064a\u062a\u0645 \u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0625\u062b\u0628\u0627\u062a\u0627\u062a \u0645\u0631\u0629 \u0648\u0627\u062d\u062f\u0629 \u0641\u0642\u0637 (\u0648\u0644\u0646 \u062a\u062a\u0643\u0631\u0631 \u0623\u0628\u062f\u064b\u0627!); \u0628\u0639\u062f \u0630\u0644\u0643\u060c \u064a\u062c\u0628 \u0623\u0646 \u062a\u0631\u0643\u0632 \u0647\u062f\u0641\u0643 \u0639\u0644\u0649 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0625\u062b\u0628\u0627\u062a\u0627\u062a \u0627\u0644\u0633\u0627\u0628\u0642\u0629 \u0644\u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>5 \u062a\u0646\u0627\u0638\u0631\u0627\u062a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u062d\u064a \u0627\u0644\u0645\u0644\u062e\u0635:\u0639\u0644\u0649 \u0645\u062f\u0627\u0631 \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u0633\u0646\u0633\u062a\u0643\u0634\u0641 \u0643\u064a\u0641 \u064a\u062a\u062d\u062f \u0627\u0644\u0646\u0641\u064a \u0627\u0644\u0645\u0632\u062f\u0648\u062c\u060c \u0627\u0644\u0642\u064a\u0627\u0633 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u064a\u060c \u0627\u0644\u0636\u062f \u0627\u0644\u062a\u0628\u0627\u062f\u0644\u064a \u0644\u0644\u062a\u0636\u0645\u064a\u0646\u060c \u0627\u0644\u0646\u0638\u0631\u064a\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644\u064a\u0629 \u0648\u062a\u0639\u0631\u064a\u0641\u0627\u062a \u0627\u0644\u0631\u0648\u0627\u0628\u0637 \u0644\u062a\u0634\u0643\u064a\u0644 \u062a\u0646\u0627\u0638\u0631\u0627\u062a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u062d\u064a. \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0641\u0633\u064a\u0631\u0627\u062a \u0648\u0627\u0636\u062d\u0629 \u0648\u0628\u0633\u064a\u0637\u0629\u060c \u0633\u062a\u062a\u0639\u0644\u0645 \u0643\u064a\u0641\u064a\u0629 \u0625\u062a\u0642\u0627\u0646 \u0627\u0644\u062a\u0643\u0627\u0641\u0624\u0627\u062a \u0648\u062a\u0637\u0628\u064a\u0642\u0647\u0627 \u0641\u064a \u062a\u062d\u062f\u064a\u0627\u062a\u0643 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629. \u062a\u0634\u0645\u0644 \u0627\u0644\u062a\u0646\u0627\u0638\u0631\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0645 \u062a\u0646\u0627\u0648\u0644\u0647\u0627 \u0641\u064a \u0627\u0644\u062d\u0635\u0629: -\u062a\u0646\u0627\u0638\u0631\u060c -\u062a\u0646\u0627\u0638\u0631\u060c -\u062a\u0646\u0627\u0638\u0631\u060c -\u062a\u0646\u0627\u0638\u0631 \u0648-\u062a\u0646\u0627\u0638\u0631. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c 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