https://matte5.mathonline.se/index.php?action=history&feed=atom&title=1.10_Indirekta_bevis 1.10 Indirekta bevis - Versionshistorik 2026-06-08T19:00:25Z Versionshistorik för denna sida på wikin MediaWiki 1.23.1 https://matte5.mathonline.se/index.php?title=1.10_Indirekta_bevis&diff=24566&oldid=prev Taifun den 8 februari 2026 kl. 14.48 2026-02-08T14:48:00Z <p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 8 februari 2026 kl. 14.48</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 3:</td> <td colspan="2" class="diff-lineno">Rad 3:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; 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color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[1.10 Övningar till Indirekta bevis|Övningar]]}}</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[http://87.106.119.154:7483/index.php/Grupparbete_Ma5 Grupparbete]}}</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[http://87.106.119.154:7483/index.php/Grupparbete_Ma5 Grupparbete]}}</div></td></tr> </table> Taifun https://matte5.mathonline.se/index.php?title=1.10_Indirekta_bevis&diff=23621&oldid=prev Taifun den 28 september 2024 kl. 11.42 2024-09-28T11:42:49Z <p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 28 september 2024 kl. 11.42</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 12:</td> <td colspan="2" class="diff-lineno">Rad 12:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>= &lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;Två logiska operatorer: [https://matte1b.mathonline.se/index.php?title=5.6_Implikation_och_ekvivalens Implikation] (&lt;math&gt; \implies &lt;/math&gt;) och Ekvivalens (&lt;math&gt; \iff &lt;/math&gt;)&lt;/span&gt;&lt;/b&gt; =</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; 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vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;ovnE&quot;&gt;</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;div style=&quot;border:1px solid black;display:inline-table;margin-left: 0px;&quot;&gt; [[Image: Ind_bev_1_1.jpg]] &lt;/div&gt;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;div style=&quot;border:1px solid black;display:inline-table;margin-left: 0px;&quot;&gt; [[Image: Ind_bev_1_1.jpg]] &lt;/div&gt;</div></td></tr> </table> Taifun https://matte5.mathonline.se/index.php?title=1.10_Indirekta_bevis&diff=23620&oldid=prev Taifun den 28 september 2024 kl. 11.41 2024-09-28T11:41:30Z <p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 28 september 2024 kl. 11.41</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 12:</td> <td colspan="2" class="diff-lineno">Rad 12:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>= &lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;Två logiska operatorer: Implikation (&lt;math&gt; \implies &lt;/math&gt;) och Ekvivalens (&lt;math&gt; \iff &lt;/math&gt;)&lt;/span&gt;&lt;/b&gt; =</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>= &lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;Två logiska operatorer: <ins class="diffchange diffchange-inline">[https://matte1b.mathonline.se/index.php?title=5.6_Implikation_och_ekvivalens </ins>Implikation<ins class="diffchange diffchange-inline">] </ins>(&lt;math&gt; 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[[Image: Ind_bev_1_1.jpg]] &lt;/div&gt;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;div style=&quot;border:1px solid black;display:inline-table;margin-left: 0px;&quot;&gt; [[Image: Ind_bev_1_1.jpg]] &lt;/div&gt;</div></td></tr> </table> Taifun https://matte5.mathonline.se/index.php?title=1.10_Indirekta_bevis&diff=23619&oldid=prev Taifun den 28 september 2024 kl. 11.25 2024-09-28T11:25:45Z <p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 28 september 2024 kl. 11.25</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 3:</td> <td colspan="2" class="diff-lineno">Rad 3:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; 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color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Selected tab|[[1.10 Indirekta bevis|Genomgång]]}}</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Selected tab|[[1.10 Indirekta bevis|Genomgång]]}}</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[1.10 Övningar till Indirekta bevis|Övningar]]}}</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[1.10 Övningar till Indirekta bevis|Övningar]]}}</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">{{Not selected tab|[http://87.106.119.154:7483/index.php/Grupparbete_Ma5 Grupparbete]}}</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[1.11 Induktionsbevis|Nästa avsnitt&amp;nbsp;&amp;nbsp;&gt;&gt; ]]}}</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Not selected tab|[[1.11 Induktionsbevis|Nästa avsnitt&amp;nbsp;&amp;nbsp;&gt;&gt; ]]}}</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>| style=&quot;border-bottom:1px solid #797979&quot;&#160; width=&quot;100%&quot;| &amp;nbsp;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>| style=&quot;border-bottom:1px solid #797979&quot;&#160; width=&quot;100%&quot;| &amp;nbsp;</div></td></tr> </table> Taifun https://matte5.mathonline.se/index.php?title=1.10_Indirekta_bevis&diff=23363&oldid=prev Taifun den 29 juni 2024 kl. 10.42 2024-06-29T10:42:26Z <p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 29 juni 2024 kl. 10.42</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 23:</td> <td colspan="2" class="diff-lineno">Rad 23:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">= &lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;Förbudet att dividera med 0 med indirekt bevis&lt;/span&gt;&lt;/b&gt; =</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;ovnA&quot;&gt;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;ovnA&quot;&gt;</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;div style=&quot;border:1px solid black;display:inline-table;margin-left: 0px;&quot;&gt; [[Image: Ind_bev_2.jpg]] &lt;/div&gt;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;div style=&quot;border:1px solid black;display:inline-table;margin-left: 0px;&quot;&gt; [[Image: Ind_bev_2.jpg]] &lt;/div&gt;</div></td></tr> </table> Taifun https://matte5.mathonline.se/index.php?title=1.10_Indirekta_bevis&diff=23360&oldid=prev Taifun den 29 juni 2024 kl. 10.38 2024-06-29T10:38:37Z <p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 29 juni 2024 kl. 10.38</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 11:</td> <td colspan="2" class="diff-lineno">Rad 11:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>= &lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;Två logiska operatorer: Implikation (&lt;math&gt; \implies &lt;/math&gt;) och Ekvivalens (&lt;math&gt; \iff &lt;/math&gt;)<del class="diffchange diffchange-inline">&lt;/span&gt;&lt;/b&gt; </del></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>= &lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;Två logiska operatorer: Implikation (&lt;math&gt; 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border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;ovnE&quot;&gt;</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;div style=&quot;border:1px solid black;display:inline-table;margin-left: 0px;&quot;&gt; [[Image: Ind_bev_1_1.jpg]] &lt;/div&gt;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;div style=&quot;border:1px solid black;display:inline-table;margin-left: 0px;&quot;&gt; [[Image: Ind_bev_1_1.jpg]] &lt;/div&gt;</div></td></tr> </table> Taifun https://matte5.mathonline.se/index.php?title=1.10_Indirekta_bevis&diff=23359&oldid=prev Taifun den 29 juni 2024 kl. 10.37 2024-06-29T10:37:10Z <p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 29 juni 2024 kl. 10.37</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 11:</td> <td colspan="2" class="diff-lineno">Rad 11:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>= &lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;<del class="diffchange diffchange-inline">Indirekt bevis = Motsägelsebevis</del>&lt;/span&gt;&lt;/b&gt; =</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>= &lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;<ins class="diffchange diffchange-inline">Två logiska operatorer: Implikation (&lt;math&gt; 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vertical-align: top; white-space: pre-wrap;"><div>&lt;div style=&quot;border:1px solid black;display:inline-table;margin-left: 0px;&quot;&gt; [[Image: <del class="diffchange diffchange-inline">Ind_bev_1</del>.jpg]] &lt;/div&gt;</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">= &lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;Indirekt bevis = Motsägelsebevis&lt;/span&gt;&lt;/b&gt; =</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;ovnC&quot;&gt;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;ovnC&quot;&gt;</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;div style=&quot;border:1px solid black;display:inline-table;margin-left: 0px;&quot;&gt; [[Image: Ind_bev_1_2.jpg]] &lt;/div&gt;</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;/div&gt;</ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;div class=&quot;ovnA&quot;&gt;</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;div style=&quot;border:1px solid black;display:inline-table;margin-left: 0px;&quot;&gt; [[Image: Ind_bev_2.jpg]] &lt;/div&gt;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;div style=&quot;border:1px solid black;display:inline-table;margin-left: 0px;&quot;&gt; [[Image: Ind_bev_2.jpg]] &lt;/div&gt;</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> </table> Taifun https://matte5.mathonline.se/index.php?title=1.10_Indirekta_bevis&diff=23356&oldid=prev Taifun den 29 juni 2024 kl. 10.21 2024-06-29T10:21:31Z <p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 29 juni 2024 kl. 10.21</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 13:</td> <td colspan="2" class="diff-lineno">Rad 13:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>= &lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;Indirekt bevis = Motsägelsebevis&lt;/span&gt;&lt;/b&gt; =</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>= &lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;Indirekt bevis = Motsägelsebevis&lt;/span&gt;&lt;/b&gt; =</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;ovnE&quot;&gt;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;div class=&quot;ovnE&quot;&gt;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>=== &lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;<del class="diffchange diffchange-inline">Tre steg </del>(<del class="diffchange diffchange-inline">olika nivåer</del>) <del class="diffchange diffchange-inline">att behandla en sats som ska bevisas:</del>&lt;/span&gt;&lt;/b&gt; ===</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>=== &lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;<ins class="diffchange diffchange-inline">Två logiska operatorer: Implikation </ins>(<ins class="diffchange diffchange-inline">&lt;math&gt; \implies &lt;/math&gt;) och Ekvivalens (&lt;math&gt; \iff &lt;/math&gt;</ins>)&lt;/span&gt;&lt;/b&gt; ===</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;div style=&quot;border:1px solid black;display:inline-table;margin-left: 0px;&quot;&gt; [[Image: Ind_bev_1.jpg]] &lt;/div&gt;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;div style=&quot;border:1px solid black;display:inline-table;margin-left: 0px;&quot;&gt; [[Image: Ind_bev_1.jpg]] &lt;/div&gt;</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> </table> Taifun https://matte5.mathonline.se/index.php?title=1.10_Indirekta_bevis&diff=23355&oldid=prev Taifun: Skapade sidan med '__NOTOC__ {| border="0" cellspacing="0" cellpadding="0" height="30" width="100%" | style="border-bottom:1px solid #797979" width="5px" | &nbsp; {{Not selected tab|1.9 Direkt...' 2024-06-29T10:15:27Z <p>Skapade sidan med &#039;__NOTOC__ {| border=&quot;0&quot; cellspacing=&quot;0&quot; cellpadding=&quot;0&quot; height=&quot;30&quot; width=&quot;100%&quot; | style=&quot;border-bottom:1px solid #797979&quot; width=&quot;5px&quot; |   {{Not selected tab|1.9 Direkt...&#039;</p> <p><b>Ny sida</b></p><div>__NOTOC__<br /> {| border=&quot;0&quot; cellspacing=&quot;0&quot; cellpadding=&quot;0&quot; height=&quot;30&quot; width=&quot;100%&quot;<br /> | style=&quot;border-bottom:1px solid #797979&quot; width=&quot;5px&quot; | &amp;nbsp;<br /> {{Not selected tab|[[1.9 Direkta bevis|&lt;&lt;&amp;nbsp;&amp;nbsp;Förra avsnitt]]}}<br /> {{Not selected tab|[[Matte 5 Innehållsförteckning|Innehållsförteckning]]}}<br /> {{Selected tab|[[1.10 Indirekta bevis|Genomgång]]}}<br /> {{Not selected tab|[[1.10 Övningar till Indirekta bevis|Övningar]]}}<br /> {{Not selected tab|[[1.11 Induktionsbevis|Nästa avsnitt&amp;nbsp;&amp;nbsp;&gt;&gt; ]]}}<br /> | style=&quot;border-bottom:1px solid #797979&quot; width=&quot;100%&quot;| &amp;nbsp;<br /> |}<br /> <br /> <br /> = &lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;Indirekt bevis = Motsägelsebevis&lt;/span&gt;&lt;/b&gt; =<br /> &lt;div class=&quot;ovnE&quot;&gt;<br /> === &lt;b&gt;&lt;span style=&quot;color:#931136&quot;&gt;Tre steg (olika nivåer) att behandla en sats som ska bevisas:&lt;/span&gt;&lt;/b&gt; ===<br /> &lt;div style=&quot;border:1px solid black;display:inline-table;margin-left: 0px;&quot;&gt; [[Image: Ind_bev_1.jpg]] &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> <br /> &lt;div class=&quot;ovnC&quot;&gt;<br /> &lt;div style=&quot;border:1px solid black;display:inline-table;margin-left: 0px;&quot;&gt; [[Image: Ind_bev_2.jpg]] &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> [[Matte:Copyrights|Copyright]] © 2024 &lt;b&gt;&lt;span style=&quot;color:blue&quot;&gt;Lieta AB&lt;/span&gt;&lt;/b&gt;. 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