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id="shared-image-desc"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="mw-heading mw-heading2"><h2 id="Опис_файлу"><span id=".D0.9E.D0.BF.D0.B8.D1.81_.D1.84.D0.B0.D0.B9.D0.BB.D1.83"></span>Опис файлу</h2></div> <p>One of 16 <a href="https://en.wikipedia.org/wiki/Venn_diagram" class="extiw" title="w:Venn diagram">Venn diagrams</a>, representing 2-ary <a href="https://en.wikipedia.org/wiki/Boolean_function" class="extiw" title="w:Boolean function">Boolean functions</a> like <a href="https://en.wikipedia.org/wiki/Set_(mathematics)#Basic_operations" class="extiw" title="w:Set (mathematics)">set operations</a> and <a href="https://en.wikipedia.org/wiki/Logical_connective" class="extiw" title="w:Logical connective">logical connectives</a>: </p> <figure class="mw-halign-center noresize mw-ext-imagemap-desc-top-right" typeof="mw:File"><span><img src="https://upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Logical_connectives_Hasse_diagram.svg/800px-Logical_connectives_Hasse_diagram.svg.png" decoding="async" width="800" height="1131" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Logical_connectives_Hasse_diagram.svg/1200px-Logical_connectives_Hasse_diagram.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Logical_connectives_Hasse_diagram.svg/1600px-Logical_connectives_Hasse_diagram.svg.png 2x" data-file-width="744" data-file-height="1052" usemap="#ImageMap_d7f1eaac588a1a29" resource="/wiki/File:Logical_connectives_Hasse_diagram.svg"></span><map name="ImageMap_d7f1eaac588a1a29"><area href="https://en.wikipedia.org/wiki/en:Tautology_(logic)" shape="rect" coords="351,30,447,215" alt="X or ¬X" title="X or ¬X"><area href="https://en.wikipedia.org/wiki/en:Sheffer_stroke" shape="rect" coords="87,251,178,440" alt="¬A or ¬B" title="¬A or ¬B"><area href="https://en.wikipedia.org/wiki/en:Converse_implication" shape="rect" coords="280,248,375,440" alt="A or ¬B" title="A or ¬B"><area href="https://en.wikipedia.org/wiki/en:Material_implication" shape="rect" coords="423,247,517,440" alt="¬A or B" title="¬A or B"><area href="https://en.wikipedia.org/wiki/en:Logical_disjunction" shape="rect" coords="617,249,713,439" alt="A or B" title="A or B"><area href="https://en.wikipedia.org/wiki/en:Negation" shape="rect" coords="14,469,111,663" alt="¬B" title="¬B"><area href="https://en.wikipedia.org/wiki/en:Negation" shape="rect" coords="158,471,253,663" alt="¬A" title="¬A"><area href="https://en.wikipedia.org/wiki/en:Exclusive_or" shape="rect" coords="300,473,396,662" alt="A xor B" title="A xor B"><area href="https://en.wikipedia.org/wiki/en:Logical_biconditional" shape="rect" coords="403,473,499,663" alt="A xnor B" title="A xnor B"><area href="https://en.wikipedia.org/wiki/en:Proposition" shape="rect" coords="545,472,640,663" alt="A" title="A"><area href="https://en.wikipedia.org/wiki/en:Proposition" shape="rect" coords="687,471,787,663" alt="B" title="B"><area href="https://en.wikipedia.org/wiki/en:Logical_NOR" shape="rect" coords="85,696,181,888" alt="¬A and ¬B" title="¬A and ¬B"><area href="https://en.wikipedia.org/wiki/en:Material_nonimplication" shape="rect" coords="280,696,375,888" alt="A and ¬B" title="A and ¬B"><area href="https://en.wikipedia.org/wiki/en:Converse_nonimplication" shape="rect" coords="421,695,518,888" alt="¬A and B" title="¬A and B"><area href="https://en.wikipedia.org/wiki/en:Logical_conjunction" shape="rect" coords="617,695,713,888" alt="A and B" title="A and B"><area href="https://en.wikipedia.org/wiki/en:Contradiction" shape="rect" coords="352,917,448,1113" alt="X and ¬X" title="X and ¬X"></map><figcaption></figcaption></figure> <p><br> </p> <div class="mw-heading mw-heading2"><h2 id="Operations_and_relations_in_set_theory_and_logic">Operations and relations in set theory and logic</h2></div> <table style="text-align: center; width: 900px" align="left"> <tbody><tr> <td></td> <td></td> <td></td> <td><sub> </sub><br><a href="https://en.wikipedia.org/wiki/Universe_(mathematics)" class="extiw" title="w:Universe (mathematics)"><big>∅</big><sup>c</sup></a></td> <td></td> <td></td> <td></td> <td>        </td> <td></td> <td></td> <td></td> <td><sub> </sub><br>A = A</td> <td></td> <td></td> <td> </td></tr> <tr> <td></td> <td></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Venn1111.svg" class="mw-file-description" title="1111"><img alt="1111" src="https://upload.wikimedia.org/wikipedia/commons/thumb/c/ca/Venn1111.svg/55px-Venn1111.svg.png" decoding="async" width="55" height="41" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/c/ca/Venn1111.svg/83px-Venn1111.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/c/ca/Venn1111.svg/110px-Venn1111.svg.png 2x" data-file-width="380" data-file-height="280"></a></span></td> <td></td> <td></td> <td></td> <td></td> <td></td> <td></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Relation1111.svg" class="mw-file-description" title="1111"><img alt="1111" src="https://upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Relation1111.svg/55px-Relation1111.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Relation1111.svg/83px-Relation1111.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Relation1111.svg/110px-Relation1111.svg.png 2x" data-file-width="384" data-file-height="280"></a></span></td> <td></td> <td></td> <td> </td></tr> <tr> <td></td> <td></td> <td><sub> </sub><br>A<sup>c</sup> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \cup }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>∪</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \cup }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cac73754a7b4de9fb215c9fe3482ecfcc33c000e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.096ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \cup }"></span> B<sup>c</sup></td> <td><a href="https://en.wikipedia.org/wiki/Tautology_(logic)" class="extiw" title="w:Tautology (logic)">true</a><br><sup><span style="color:#aaaaaa;">A ↔ A</span></sup></td> <td><sub> </sub><br><a href="https://en.wikipedia.org/wiki/Union_(set_theory)" class="extiw" title="w:Union (set theory)">A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \cup }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>∪</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \cup }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cac73754a7b4de9fb215c9fe3482ecfcc33c000e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.096ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \cup }"></span> B</a></td> <td></td> <td></td> <td></td> <td></td> <td></td> <td><sub> </sub><br><a href="https://en.wikipedia.org/wiki/Disjoint_sets" class="extiw" title="w:Disjoint sets">A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \subseteq }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>⊆</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \subseteq }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2bdbb94ae4bf59f0b3af0cc4fcc34703fdaa7008" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.279ex; height:1.843ex;" alt="{\displaystyle \scriptstyle \subseteq }"></span> B<sup>c</sup></a></td> <td>A<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \Leftrightarrow }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo stretchy="false">⇔</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \Leftrightarrow }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/875130c0980c8d4419506be91c32f141997f8b6e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.643ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \Leftrightarrow }"></span>A<br><sup> </sup></td> <td><sub> </sub><br>A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \supseteq }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>⊇</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \supseteq }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/430420e92dde109a18c9b825e00db3ff6456cb63" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.279ex; height:1.843ex;" alt="{\displaystyle \scriptstyle \supseteq }"></span> B<sup>c</sup></td> <td></td> <td> </td></tr> <tr> <td></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Venn1110.svg" class="mw-file-description" title="1110"><img alt="1110" src="https://upload.wikimedia.org/wikipedia/commons/thumb/c/cb/Venn1110.svg/55px-Venn1110.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/c/cb/Venn1110.svg/83px-Venn1110.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/c/cb/Venn1110.svg/110px-Venn1110.svg.png 2x" data-file-width="410" data-file-height="299"></a></span></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Venn0111.svg" class="mw-file-description" title="0111"><img alt="0111" src="https://upload.wikimedia.org/wikipedia/commons/thumb/3/30/Venn0111.svg/55px-Venn0111.svg.png" decoding="async" width="55" height="41" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/3/30/Venn0111.svg/83px-Venn0111.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/3/30/Venn0111.svg/110px-Venn0111.svg.png 2x" data-file-width="380" data-file-height="280"></a></span></td> <td></td> <td></td> <td></td> <td></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Relation1110.svg" class="mw-file-description" title="1110"><img alt="1110" src="https://upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Relation1110.svg/55px-Relation1110.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Relation1110.svg/83px-Relation1110.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Relation1110.svg/110px-Relation1110.svg.png 2x" data-file-width="384" data-file-height="280"></a></span></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Relation0111.svg" class="mw-file-description" title="0111"><img alt="0111" src="https://upload.wikimedia.org/wikipedia/commons/thumb/6/63/Relation0111.svg/55px-Relation0111.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/6/63/Relation0111.svg/83px-Relation0111.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/6/63/Relation0111.svg/110px-Relation0111.svg.png 2x" data-file-width="384" data-file-height="280"></a></span></td> <td></td> <td> </td></tr> <tr> <td></td> <td><sub> </sub><br>A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \cup }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>∪</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \cup }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cac73754a7b4de9fb215c9fe3482ecfcc33c000e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.096ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \cup }"></span> B<sup>c</sup></td> <td><a href="https://en.wikipedia.org/wiki/Sheffer_stroke" class="extiw" title="w:Sheffer stroke">¬A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \lor }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>∨</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \lor }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0f5f3d2b918547a337bd359cfca9645b628c9489" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.096ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \lor }"></span> ¬B</a><br><sup><span style="color:#aaaaaa;">A → ¬B</span></sup></td> <td><sub> </sub><br><a href="https://en.wikipedia.org/wiki/Symmetric_difference" class="extiw" title="w:Symmetric difference">A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \Delta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mi mathvariant="normal">Δ</mi> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \Delta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2c7428df33efb5339a7c947720caf317992ac224" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.369ex; height:1.843ex;" alt="{\displaystyle \scriptstyle \Delta }"></span> B</a></td> <td><a href="https://en.wikipedia.org/wiki/Logical_disjunction" class="extiw" title="w:Logical disjunction">A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \lor }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>∨</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \lor }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0f5f3d2b918547a337bd359cfca9645b628c9489" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.096ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \lor }"></span> B</a><br><sup><span style="color:#aaaaaa;">A ← ¬B</span></sup></td> <td><sub> </sub><br>A<sup>c</sup> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \cup }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>∪</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \cup }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cac73754a7b4de9fb215c9fe3482ecfcc33c000e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.096ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \cup }"></span> B</td> <td></td> <td></td> <td></td> <td><sub> </sub><br>A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \supseteq }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>⊇</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \supseteq }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/430420e92dde109a18c9b825e00db3ff6456cb63" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.279ex; height:1.843ex;" alt="{\displaystyle \scriptstyle \supseteq }"></span> B</td> <td>A<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \Rightarrow }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo stretchy="false">⇒</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \Rightarrow }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d49c6f4ab46821e8d4e5bebec9e2dc713801df50" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.643ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \Rightarrow }"></span>¬B<br><sup> </sup></td> <td><sub> </sub><br>A = B<sup>c</sup></td> <td>A<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \Leftarrow }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo stretchy="false">⇐</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \Leftarrow }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/82fbbac5fb3778e24bd6985c88ff92fb967b8884" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.643ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \Leftarrow }"></span>¬B<br><sup> </sup></td> <td><sub> </sub><br><a href="https://en.wikipedia.org/wiki/Subset" class="extiw" title="w:Subset">A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \subseteq }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>⊆</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \subseteq }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2bdbb94ae4bf59f0b3af0cc4fcc34703fdaa7008" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.279ex; height:1.843ex;" alt="{\displaystyle \scriptstyle \subseteq }"></span> B</a></td> <td> </td></tr> <tr> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Venn1101.svg" class="mw-file-description" title="1101"><img alt="1101" src="https://upload.wikimedia.org/wikipedia/commons/thumb/3/35/Venn1101.svg/55px-Venn1101.svg.png" decoding="async" width="55" height="41" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/3/35/Venn1101.svg/83px-Venn1101.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/3/35/Venn1101.svg/110px-Venn1101.svg.png 2x" data-file-width="380" data-file-height="280"></a></span></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Venn0110.svg" class="mw-file-description" title="0110"><img alt="0110" src="https://upload.wikimedia.org/wikipedia/commons/thumb/4/46/Venn0110.svg/55px-Venn0110.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/4/46/Venn0110.svg/83px-Venn0110.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/4/46/Venn0110.svg/110px-Venn0110.svg.png 2x" data-file-width="410" data-file-height="299"></a></span></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Venn1011.svg" class="mw-file-description" title="1011"><img alt="1011" src="https://upload.wikimedia.org/wikipedia/commons/thumb/1/1e/Venn1011.svg/55px-Venn1011.svg.png" decoding="async" width="55" height="41" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/1/1e/Venn1011.svg/83px-Venn1011.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/1/1e/Venn1011.svg/110px-Venn1011.svg.png 2x" data-file-width="380" data-file-height="280"></a></span></td> <td></td> <td></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Relation1101.svg" class="mw-file-description" title="1101"><img alt="1101" src="https://upload.wikimedia.org/wikipedia/commons/thumb/d/dc/Relation1101.svg/55px-Relation1101.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/d/dc/Relation1101.svg/83px-Relation1101.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/d/dc/Relation1101.svg/110px-Relation1101.svg.png 2x" data-file-width="384" data-file-height="280"></a></span></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Relation0110.svg" class="mw-file-description" title="0110"><img alt="0110" src="https://upload.wikimedia.org/wikipedia/commons/thumb/c/c1/Relation0110.svg/55px-Relation0110.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/c/c1/Relation0110.svg/83px-Relation0110.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/c/c1/Relation0110.svg/110px-Relation0110.svg.png 2x" data-file-width="384" data-file-height="280"></a></span></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Relation1011.svg" class="mw-file-description" title="1011"><img alt="1011" src="https://upload.wikimedia.org/wikipedia/commons/thumb/8/88/Relation1011.svg/55px-Relation1011.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/8/88/Relation1011.svg/83px-Relation1011.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/8/88/Relation1011.svg/110px-Relation1011.svg.png 2x" data-file-width="384" data-file-height="280"></a></span></td> <td> </td></tr> <tr> <td><sub> </sub><br><a href="https://en.wikipedia.org/wiki/Complement_(set_theory)" class="extiw" title="w:Complement (set theory)">B<sup>c</sup></a></td> <td><a href="https://en.wikipedia.org/wiki/Converse_implication" class="extiw" title="w:Converse implication">A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \lor }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>∨</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \lor }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0f5f3d2b918547a337bd359cfca9645b628c9489" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.096ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \lor }"></span> ¬B</a><br><sup><span style="color:#aaaaaa;">A ← B</span></sup></td> <td><sub> </sub><br><a href="https://en.wikipedia.org/wiki/Set_(mathematics)" class="extiw" title="w:Set (mathematics)">A</a></td> <td><a href="https://en.wikipedia.org/wiki/Exclusive_or" class="extiw" title="w:Exclusive or">A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \oplus }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>⊕</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \oplus }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2d723433d6d1b4f553d0ad57be59560671218b51" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.279ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \oplus }"></span> B</a><br><sup><span style="color:#aaaaaa;">A ↔ ¬B</span></sup></td> <td><sub> </sub><br><a href="https://en.wikipedia.org/wiki/Complement_(set_theory)" class="extiw" title="w:Complement (set theory)">A<sup>c</sup></a></td> <td><a href="https://en.wikipedia.org/wiki/Material_conditional" class="extiw" title="w:Material conditional">¬A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \lor }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>∨</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \lor }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0f5f3d2b918547a337bd359cfca9645b628c9489" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.096ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \lor }"></span> B</a><br><sup><span style="color:#aaaaaa;">A → B</span></sup></td> <td><sub> </sub><br> <a href="https://en.wikipedia.org/wiki/Set_(mathematics)" class="extiw" title="w:Set (mathematics)">B</a></td> <td></td> <td><sub> </sub><br>B = <big>∅</big></td> <td>A<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \Leftarrow }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo stretchy="false">⇐</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \Leftarrow }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/82fbbac5fb3778e24bd6985c88ff92fb967b8884" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.643ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \Leftarrow }"></span>B<br><sup> </sup></td> <td><sub> </sub><br>A = <big>∅</big><sup>c</sup></td> <td>A<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \Leftrightarrow }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo stretchy="false">⇔</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \Leftrightarrow }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/875130c0980c8d4419506be91c32f141997f8b6e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.643ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \Leftrightarrow }"></span>¬B<br><sup> </sup></td> <td><sub> </sub><br>A = <big>∅</big></td> <td>A<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \Rightarrow }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo stretchy="false">⇒</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \Rightarrow }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d49c6f4ab46821e8d4e5bebec9e2dc713801df50" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.643ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \Rightarrow }"></span>B<br><sup> </sup></td> <td><sub> </sub><br> B = <big>∅</big><sup>c</sup> </td></tr> <tr> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Venn1100.svg" class="mw-file-description" title="1100"><img alt="1100" src="https://upload.wikimedia.org/wikipedia/commons/thumb/3/31/Venn1100.svg/55px-Venn1100.svg.png" decoding="async" width="55" height="41" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/3/31/Venn1100.svg/83px-Venn1100.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/3/31/Venn1100.svg/110px-Venn1100.svg.png 2x" data-file-width="380" data-file-height="280"></a></span></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Venn0101.svg" class="mw-file-description" title="0101"><img alt="0101" src="https://upload.wikimedia.org/wikipedia/commons/thumb/1/10/Venn0101.svg/55px-Venn0101.svg.png" decoding="async" width="55" height="41" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/1/10/Venn0101.svg/83px-Venn0101.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/1/10/Venn0101.svg/110px-Venn0101.svg.png 2x" data-file-width="380" data-file-height="280"></a></span></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Venn1010.svg" class="mw-file-description" title="1010"><img alt="1010" src="https://upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Venn1010.svg/55px-Venn1010.svg.png" decoding="async" width="55" height="41" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Venn1010.svg/83px-Venn1010.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Venn1010.svg/110px-Venn1010.svg.png 2x" data-file-width="380" data-file-height="280"></a></span></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Venn0011.svg" class="mw-file-description" title="0011"><img alt="0011" src="https://upload.wikimedia.org/wikipedia/commons/thumb/7/76/Venn0011.svg/55px-Venn0011.svg.png" decoding="async" width="55" height="41" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/7/76/Venn0011.svg/83px-Venn0011.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/7/76/Venn0011.svg/110px-Venn0011.svg.png 2x" data-file-width="380" data-file-height="280"></a></span></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Relation1100.svg" class="mw-file-description" title="1100"><img alt="1100" src="https://upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Relation1100.svg/55px-Relation1100.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Relation1100.svg/83px-Relation1100.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Relation1100.svg/110px-Relation1100.svg.png 2x" data-file-width="384" data-file-height="280"></a></span></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Relation0101.svg" class="mw-file-description" title="0101"><img alt="0101" src="https://upload.wikimedia.org/wikipedia/commons/thumb/c/c5/Relation0101.svg/55px-Relation0101.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/c/c5/Relation0101.svg/83px-Relation0101.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/c/c5/Relation0101.svg/110px-Relation0101.svg.png 2x" data-file-width="384" data-file-height="280"></a></span></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Relation1010.svg" class="mw-file-description" title="1010"><img alt="1010" src="https://upload.wikimedia.org/wikipedia/commons/thumb/8/8a/Relation1010.svg/55px-Relation1010.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/8/8a/Relation1010.svg/83px-Relation1010.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/8/8a/Relation1010.svg/110px-Relation1010.svg.png 2x" data-file-width="384" data-file-height="280"></a></span></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Relation0011.svg" class="mw-file-description" title="0011"><img alt="0011" src="https://upload.wikimedia.org/wikipedia/commons/thumb/3/3c/Relation0011.svg/55px-Relation0011.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/3/3c/Relation0011.svg/83px-Relation0011.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/3/3c/Relation0011.svg/110px-Relation0011.svg.png 2x" data-file-width="384" data-file-height="280"></a></span> </td></tr> <tr> <td><a href="https://en.wikipedia.org/wiki/Negation" class="extiw" title="w:Negation">¬B</a><br><sup> </sup></td> <td><sub> </sub><br>A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \cap }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>∩</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \cap }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4ba4c128e05a06359921f23ab2b494116e3eb27a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.096ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \cap }"></span> B<sup>c</sup></td> <td><a href="https://en.wikipedia.org/wiki/Statement_(logic)" class="extiw" title="w:Statement (logic)">A</a><br><sup> </sup></td> <td><sub> </sub><br>(A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \Delta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mi mathvariant="normal">Δ</mi> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \Delta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2c7428df33efb5339a7c947720caf317992ac224" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.369ex; height:1.843ex;" alt="{\displaystyle \scriptstyle \Delta }"></span> B)<sup>c</sup></td> <td><a href="https://en.wikipedia.org/wiki/Negation" class="extiw" title="w:Negation">¬A</a><br><sup> </sup></td> <td><sub> </sub><br>A<sup>c</sup> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \cap }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>∩</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \cap }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4ba4c128e05a06359921f23ab2b494116e3eb27a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.096ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \cap }"></span> B</td> <td><a href="https://en.wikipedia.org/wiki/Statement_(logic)" class="extiw" title="w:Statement (logic)">B</a><br><sup> </sup></td> <td></td> <td>B<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \Leftrightarrow }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo stretchy="false">⇔</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \Leftrightarrow }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/875130c0980c8d4419506be91c32f141997f8b6e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.643ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \Leftrightarrow }"></span>false<br><sup> </sup></td> <td></td> <td>A<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \Leftrightarrow }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo stretchy="false">⇔</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \Leftrightarrow }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/875130c0980c8d4419506be91c32f141997f8b6e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.643ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \Leftrightarrow }"></span>true<br><sup> </sup></td> <td><sub> </sub><br>A = B</td> <td>A<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \Leftrightarrow }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo stretchy="false">⇔</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \Leftrightarrow }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/875130c0980c8d4419506be91c32f141997f8b6e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.643ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \Leftrightarrow }"></span>false<br><sup> </sup></td> <td></td> <td>B<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \Leftrightarrow }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo stretchy="false">⇔</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \Leftrightarrow }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/875130c0980c8d4419506be91c32f141997f8b6e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.643ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \Leftrightarrow }"></span>true<br><sup> </sup> </td></tr> <tr> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Venn0100.svg" class="mw-file-description" title="0100"><img alt="0100" src="https://upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Venn0100.svg/55px-Venn0100.svg.png" decoding="async" width="55" height="41" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Venn0100.svg/83px-Venn0100.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Venn0100.svg/110px-Venn0100.svg.png 2x" data-file-width="380" data-file-height="280"></a></span></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Venn1001.svg" class="mw-file-description" title="1001"><img alt="1001" src="https://upload.wikimedia.org/wikipedia/commons/thumb/4/47/Venn1001.svg/55px-Venn1001.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/4/47/Venn1001.svg/83px-Venn1001.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/4/47/Venn1001.svg/110px-Venn1001.svg.png 2x" data-file-width="410" data-file-height="299"></a></span></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Venn0010.svg" class="mw-file-description" title="0010"><img alt="0010" src="https://upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Venn0010.svg/55px-Venn0010.svg.png" decoding="async" width="55" height="41" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Venn0010.svg/83px-Venn0010.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Venn0010.svg/110px-Venn0010.svg.png 2x" data-file-width="380" data-file-height="280"></a></span></td> <td></td> <td></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Relation0100.svg" class="mw-file-description" title="0100"><img alt="0100" src="https://upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Relation0100.svg/55px-Relation0100.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Relation0100.svg/83px-Relation0100.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Relation0100.svg/110px-Relation0100.svg.png 2x" data-file-width="384" data-file-height="280"></a></span></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Relation1001.svg" class="mw-file-description" title="1001"><img alt="1001" src="https://upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Relation1001.svg/55px-Relation1001.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Relation1001.svg/83px-Relation1001.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Relation1001.svg/110px-Relation1001.svg.png 2x" data-file-width="384" data-file-height="280"></a></span></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Relation0010.svg" class="mw-file-description" title="0010"><img alt="0010" src="https://upload.wikimedia.org/wikipedia/commons/thumb/9/9a/Relation0010.svg/55px-Relation0010.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/9/9a/Relation0010.svg/83px-Relation0010.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/9/9a/Relation0010.svg/110px-Relation0010.svg.png 2x" data-file-width="384" data-file-height="280"></a></span></td> <td> </td></tr> <tr> <td></td> <td><a href="https://en.wikipedia.org/wiki/Material_nonimplication" class="extiw" title="w:Material nonimplication">A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \land }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>∧</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \land }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ee35ae18aea1698152f1643c05c84729b5193b46" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.096ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \land }"></span> ¬B</a><br><sup> </sup></td> <td><sub> </sub><br>A<sup>c</sup> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \cap }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>∩</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \cap }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4ba4c128e05a06359921f23ab2b494116e3eb27a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.096ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \cap }"></span> B<sup>c</sup></td> <td><a href="https://en.wikipedia.org/wiki/Logical_biconditional" class="extiw" title="w:Logical biconditional">A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \leftrightarrow }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo stretchy="false">↔</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \leftrightarrow }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2a32c61c5acc5260db3780d31c99c74a9352fc79" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.643ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \leftrightarrow }"></span> B</a><br><sup> </sup></td> <td><sub> </sub><br><a href="https://en.wikipedia.org/wiki/Intersection_(set_theory)" class="extiw" title="w:Intersection (set theory)">A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \cap }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>∩</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \cap }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4ba4c128e05a06359921f23ab2b494116e3eb27a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.096ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \cap }"></span> B</a></td> <td><a href="https://en.wikipedia.org/wiki/Converse_nonimplication" class="extiw" title="w:Converse nonimplication">¬A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \land }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>∧</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \land }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ee35ae18aea1698152f1643c05c84729b5193b46" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.096ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \land }"></span> B</a><br><sup> </sup></td> <td></td> <td></td> <td></td> <td></td> <td></td> <td>A<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \Leftrightarrow }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo stretchy="false">⇔</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \Leftrightarrow }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/875130c0980c8d4419506be91c32f141997f8b6e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.643ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \Leftrightarrow }"></span>B<br><sup> </sup></td> <td></td> <td></td> <td> </td></tr> <tr> <td></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Venn1000.svg" class="mw-file-description" title="1000"><img alt="1000" src="https://upload.wikimedia.org/wikipedia/commons/thumb/3/3c/Venn1000.svg/55px-Venn1000.svg.png" decoding="async" width="55" height="41" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/3/3c/Venn1000.svg/83px-Venn1000.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/3/3c/Venn1000.svg/110px-Venn1000.svg.png 2x" data-file-width="380" data-file-height="280"></a></span></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Venn0001.svg" class="mw-file-description" title="0001"><img alt="0001" src="https://upload.wikimedia.org/wikipedia/commons/thumb/9/99/Venn0001.svg/55px-Venn0001.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/9/99/Venn0001.svg/83px-Venn0001.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/9/99/Venn0001.svg/110px-Venn0001.svg.png 2x" data-file-width="410" data-file-height="299"></a></span></td> <td></td> <td></td> <td></td> <td></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Relation1000.svg" class="mw-file-description" title="1000"><img alt="1000" src="https://upload.wikimedia.org/wikipedia/commons/thumb/e/e2/Relation1000.svg/55px-Relation1000.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/e/e2/Relation1000.svg/83px-Relation1000.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/e/e2/Relation1000.svg/110px-Relation1000.svg.png 2x" data-file-width="384" data-file-height="280"></a></span></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Relation0001.svg" class="mw-file-description" title="0001"><img alt="0001" src="https://upload.wikimedia.org/wikipedia/commons/thumb/1/1c/Relation0001.svg/55px-Relation0001.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/1/1c/Relation0001.svg/83px-Relation0001.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/1/1c/Relation0001.svg/110px-Relation0001.svg.png 2x" data-file-width="384" data-file-height="280"></a></span></td> <td></td> <td> </td></tr> <tr> <td></td> <td></td> <td><a href="https://en.wikipedia.org/wiki/Logical_NOR" class="extiw" title="w:Logical NOR">¬A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \land }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>∧</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \land }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ee35ae18aea1698152f1643c05c84729b5193b46" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.096ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \land }"></span> ¬B</a><br><sup> </sup></td> <td><sub> </sub><br><a href="https://en.wikipedia.org/wiki/Empty_set" class="extiw" title="w:Empty set"><big>∅</big></a></td> <td><a href="https://en.wikipedia.org/wiki/Logical_conjunction" class="extiw" title="w:Logical conjunction">A <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \land }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo>∧</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \land }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ee35ae18aea1698152f1643c05c84729b5193b46" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.096ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \land }"></span> B</a><br><sup> </sup></td> <td></td> <td></td> <td></td> <td></td> <td></td> <td></td> <td><sub> </sub><br>A = A<sup>c</sup></td> <td></td> <td></td> <td> </td></tr> <tr> <td></td> <td></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Venn0000.svg" class="mw-file-description" title="0000"><img alt="0000" src="https://upload.wikimedia.org/wikipedia/commons/thumb/9/91/Venn0000.svg/55px-Venn0000.svg.png" decoding="async" width="55" height="41" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/9/91/Venn0000.svg/83px-Venn0000.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/9/91/Venn0000.svg/110px-Venn0000.svg.png 2x" data-file-width="380" data-file-height="280"></a></span></td> <td></td> <td></td> <td></td> <td></td> <td></td> <td></td> <td></td> <td><span typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Relation0000.svg" class="mw-file-description" title="0000"><img alt="0000" src="https://upload.wikimedia.org/wikipedia/commons/thumb/6/66/Relation0000.svg/55px-Relation0000.svg.png" decoding="async" width="55" height="40" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/6/66/Relation0000.svg/83px-Relation0000.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/6/66/Relation0000.svg/110px-Relation0000.svg.png 2x" data-file-width="384" data-file-height="280"></a></span></td> <td></td> <td></td> <td> </td></tr> <tr> <td></td> <td></td> <td></td> <td><a href="https://en.wikipedia.org/wiki/Contradiction" class="extiw" title="w:Contradiction">false</a><br><sup><span style="color:#aaaaaa;">A ↔ ¬A</span></sup></td> <td></td> <td></td> <td></td> <td></td> <td></td> <td></td> <td></td> <td>A<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \Leftrightarrow }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo stretchy="false">⇔</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \Leftrightarrow }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/875130c0980c8d4419506be91c32f141997f8b6e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.643ex; height:1.509ex;" alt="{\displaystyle \scriptstyle \Leftrightarrow }"></span>¬A<br><sup> </sup></td> <td></td> <td></td> <td> </td></tr> <tr> <td colspan="7" style="text-align: center;">These sets (statements) have complements (negations).<br>They are in the opposite position within this matrix. </td> <td> </td> <td colspan="7" style="text-align: center;">These relations are statements, and have negations.<br>They are shown in a separate matrix in the box below. </td></tr></tbody></table> <table class="collapsible collapsed" style="width: 900px; border: 1px solid #aaaaaa;"> <tbody><tr> <th bgcolor="#ccccff">more relations </th></tr> <tr> <td> <table class="wikitable" style="width: 900px; font-size:95%" align="left"> <tbody><tr> <td style="width:450px"><figure class="mw-halign-left" typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Logic_matrix_-_operations.svg" class="mw-file-description"><img src="https://upload.wikimedia.org/wikipedia/commons/thumb/9/92/Logic_matrix_-_operations.svg/430px-Logic_matrix_-_operations.svg.png" decoding="async" width="430" height="476" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/9/92/Logic_matrix_-_operations.svg/645px-Logic_matrix_-_operations.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/9/92/Logic_matrix_-_operations.svg/860px-Logic_matrix_-_operations.svg.png 2x" data-file-width="717" data-file-height="793"></a><figcaption></figcaption></figure><br>The operations, arranged in the same matrix as above.<br>The 2x2 matrices show the same information like the Venn diagrams.<br><small>(This matrix is similar to <a href="//commons.wikimedia.org/wiki/File:Logical_connectives_Hasse_diagram.svg" title="File:Logical connectives Hasse diagram.svg">this Hasse diagram</a>.)</small> <br> <br>In set theory the Venn diagrams represent the set,<br>which is marked in red.<br> </td> <td style="width:450px"><figure class="mw-halign-right" typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Logic_matrix_-_whatsthecaserelations.svg" class="mw-file-description"><img src="https://upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Logic_matrix_-_whatsthecaserelations.svg/430px-Logic_matrix_-_whatsthecaserelations.svg.png" decoding="async" width="430" height="476" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Logic_matrix_-_whatsthecaserelations.svg/645px-Logic_matrix_-_whatsthecaserelations.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Logic_matrix_-_whatsthecaserelations.svg/860px-Logic_matrix_-_whatsthecaserelations.svg.png 2x" data-file-width="717" data-file-height="793"></a><figcaption></figcaption></figure><br>These 15 relations, except the empty one, are <a href="https://en.wikipedia.org/wiki/Canonical_form_(Boolean_algebra)" class="extiw" title="w:Canonical form (Boolean algebra)">minterms</a> and can be the case.<br>The relations in the files below are <a href="https://en.wikipedia.org/wiki/logical_disjunction" class="extiw" title="w:logical disjunction">disjunctions</a>. The red fields of their 4x4 matrices tell, in which of <b>these</b> cases the relation is true.<br> <small> (Inherently only conjunctions can be the case. Disjunctions are true in several cases.)</small><br>In set theory the Venn diagrams tell,<br>that there is an element in every red,<br> and there is no element in any black intersection. </td></tr> <tr> <td><figure class="mw-halign-left" typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Logic_matrix_-_affirmative_statements_combined_by_OR.svg" class="mw-file-description"><img src="https://upload.wikimedia.org/wikipedia/commons/thumb/3/34/Logic_matrix_-_affirmative_statements_combined_by_OR.svg/430px-Logic_matrix_-_affirmative_statements_combined_by_OR.svg.png" decoding="async" width="430" height="476" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/3/34/Logic_matrix_-_affirmative_statements_combined_by_OR.svg/645px-Logic_matrix_-_affirmative_statements_combined_by_OR.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/3/34/Logic_matrix_-_affirmative_statements_combined_by_OR.svg/860px-Logic_matrix_-_affirmative_statements_combined_by_OR.svg.png 2x" data-file-width="717" data-file-height="793"></a><figcaption></figcaption></figure><br>Negations of the relations in the matrix on the right.<br>In the Venn diagrams the negation exchanges black and red.<br> <br>In set theory the Venn diagrams tell,<br>that there is an element in one of the red intersections.<br><small>(The <a href="https://en.wikipedia.org/wiki/existential_quantification" class="extiw" title="w:existential quantification">existential quantifications</a> for the red intersections are combined by <i>or</i>.<br>They can be <a href="//commons.wikimedia.org/wiki/File:Logic_matrix_-_affirmative_statements_combined_by_XOR.svg" title="File:Logic matrix - affirmative statements combined by XOR.svg">combined by the <i>exclusive or</i></a> as well.)</small></td> <td><figure class="mw-halign-right" typeof="mw:File"><a href="//commons.wikimedia.org/wiki/File:Logic_matrix_-_negative_statements_combined_by_AND.svg" class="mw-file-description"><img src="https://upload.wikimedia.org/wikipedia/commons/thumb/c/c4/Logic_matrix_-_negative_statements_combined_by_AND.svg/430px-Logic_matrix_-_negative_statements_combined_by_AND.svg.png" decoding="async" width="430" height="476" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/c/c4/Logic_matrix_-_negative_statements_combined_by_AND.svg/645px-Logic_matrix_-_negative_statements_combined_by_AND.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/c/c4/Logic_matrix_-_negative_statements_combined_by_AND.svg/860px-Logic_matrix_-_negative_statements_combined_by_AND.svg.png 2x" data-file-width="717" data-file-height="793"></a><figcaption></figcaption></figure><br>Relations like <a href="//commons.wikimedia.org/wiki/File:Relation1011.svg" title="File:Relation1011.svg">subset and implication</a>,<br>arranged in the same kind of matrix as above.<br> <br>In set theory the Venn diagrams tell,<br>that there is no element in any black intersection.<br><small> </small><br><small> </small> </td></tr></tbody></table> </td></tr></tbody></table> <p><br> </p><p><br> </p> <table class="licensetpl" style="display:none"> <tbody><tr> <td><span class="licensetpl_short">Public domain</span><span class="licensetpl_long">Public domain</span><span class="licensetpl_link_req">false</span><span class="licensetpl_attr_req">false</span> </td></tr></tbody></table> <table style="width: 100%; clear: both; margin: 0.5em auto; background-color: var(--background-color-neutral-subtle, #f7f8ff); color: var(--color-base, #202122); border: var(--border-subtle, 2px solid #8888aa); border-spacing: 8px; padding: 0px;" dir="ltr" class="layouttemplate" lang="uk"> <tbody><tr> <td><span typeof="mw:File"><span><img 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class="wbmi-content-items-group"></div></div></div><div id="P1163" data-property="P1163" data-statements="[{"mainsnak":{"snaktype":"value","property":"P1163","hash":"636199d1806c7cdbae57b4d4298f38fade12d052","datavalue":{"value":"image\/svg+xml","type":"string"}},"type":"statement","id":"M3437431$4D894280-DBA1-4345-B15C-14F19C1352C2","rank":"normal"}]" data-formatvalue="{"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":1163,\"id\":\"P1163\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"uk":{"":"<a target=\"_blank\" title=\"d:Special:EntityPage\/P1163\" href=\"https:\/\/www.wikidata.org\/wiki\/Special:EntityPage\/P1163\">MIME-\u0442\u0438\u043f \u0456\u043d\u0442\u0435\u0440\u043d\u0435\u0442-\u0432\u043c\u0456\u0441\u0442\u0443<\/a>"}},"text\/plain":{"uk":{"":"MIME-\u0442\u0438\u043f 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class="wbmi-entity-label"><bdi>image/svg+xml</bdi></h4></div></div></div></div></div></div></div></div></mediainfoviewstatements></mediainfoview>    </div></div> <h2 id="filehistory">Історія файлу</h2> <div id="mw-imagepage-section-filehistory"> <p>Клацніть на дату/час, щоб переглянути, як тоді виглядав файл. </p> <table class="wikitable filehistory"> <tr><th></th><th>Дата/час</th><th>Мініатюра</th><th>Розмір об'єкта</th><th>Користувач</th><th>Коментар</th></tr> <tr><td>поточний</td><td class="filehistory-selected" style="white-space: nowrap;"><a href="//upload.wikimedia.org/wikipedia/commons/5/5a/Venn0010.svg">22:18, 28 вересня 2024</a></td><td><a href="//upload.wikimedia.org/wikipedia/commons/5/5a/Venn0010.svg"><img alt="Мініатюра для версії від 22:18, 28 вересня 2024" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Venn0010.svg/120px-Venn0010.svg.png" decoding="async" loading="lazy" width="120" height="88" data-file-width="380" data-file-height="280" /></a></td><td>380 × 280 <span style="white-space: nowrap;">(351 байтів)</span></td><td><a href="/wiki/%D0%9A%D0%BE%D1%80%D0%B8%D1%81%D1%82%D1%83%D0%B2%D0%B0%D1%87:Watchduck" class="mw-userlink" title="Користувач:Watchduck"><bdi>Watchduck</bdi></a></td><td dir="ltr">Shade of red and thinner lines match other image sets.</td></tr> <tr><td></td><td style="white-space: nowrap;"><a href="//upload.wikimedia.org/wikipedia/commons/archive/5/5a/20240928221818%21Venn0010.svg">15:17, 16 липня 2024</a></td><td><a href="//upload.wikimedia.org/wikipedia/commons/archive/5/5a/20240928221818%21Venn0010.svg"><img alt="Мініатюра для версії від 15:17, 16 липня 2024" src="//upload.wikimedia.org/wikipedia/commons/thumb/archive/5/5a/20240928221818%21Venn0010.svg/120px-Venn0010.svg.png" decoding="async" loading="lazy" width="120" height="90" data-file-width="400" data-file-height="300" /></a></td><td>400 × 300 <span style="white-space: nowrap;">(579 байтів)</span></td><td><a href="/wiki/%D0%9A%D0%BE%D1%80%D0%B8%D1%81%D1%82%D1%83%D0%B2%D0%B0%D1%87:Antonsusi" class="mw-userlink" title="Користувач:Antonsusi"><bdi>Antonsusi</bdi></a></td><td dir="ltr">validizing, easier code</td></tr> <tr><td></td><td style="white-space: nowrap;"><a href="//upload.wikimedia.org/wikipedia/commons/archive/5/5a/20240716151721%21Venn0010.svg">23:13, 1 березня 2024</a></td><td><a href="//upload.wikimedia.org/wikipedia/commons/archive/5/5a/20240716151721%21Venn0010.svg"><img alt="Мініатюра для версії від 23:13, 1 березня 2024" src="//upload.wikimedia.org/wikipedia/commons/thumb/archive/5/5a/20240716151721%21Venn0010.svg/120px-Venn0010.svg.png" decoding="async" loading="lazy" width="120" height="88" data-file-width="380" data-file-height="280" /></a></td><td>380 × 280 <span style="white-space: nowrap;">(351 байтів)</span></td><td><a href="/wiki/%D0%9A%D0%BE%D1%80%D0%B8%D1%81%D1%82%D1%83%D0%B2%D0%B0%D1%87:Watchduck" class="mw-userlink" title="Користувач:Watchduck"><bdi>Watchduck</bdi></a></td><td dir="ltr">cleaner code and lighter red (overwritten with <a href="/w/index.php?title=Pywikibot&action=edit&redlink=1" class="new" title="Pywikibot (ще не написана)">Pywikibot</a>)</td></tr> <tr><td></td><td style="white-space: nowrap;"><a href="//upload.wikimedia.org/wikipedia/commons/archive/5/5a/20240301231347%21Venn0010.svg">20:44, 24 липня 2023</a></td><td><a href="//upload.wikimedia.org/wikipedia/commons/archive/5/5a/20240301231347%21Venn0010.svg"><img alt="Мініатюра для версії від 20:44, 24 липня 2023" src="//upload.wikimedia.org/wikipedia/commons/thumb/archive/5/5a/20240301231347%21Venn0010.svg/120px-Venn0010.svg.png" decoding="async" loading="lazy" width="120" height="88" data-file-width="380" data-file-height="280" /></a></td><td>380 × 280 <span style="white-space: nowrap;">(352 байтів)</span></td><td><a href="/w/index.php?title=%D0%9A%D0%BE%D1%80%D0%B8%D1%81%D1%82%D1%83%D0%B2%D0%B0%D1%87:SVG-image-maker&action=edit&redlink=1" class="new mw-userlink" title="Користувач:SVG-image-maker (ще не написана)"><bdi>SVG-image-maker</bdi></a></td><td dir="ltr">Recoded manually by use of text editor</td></tr> <tr><td></td><td style="white-space: nowrap;"><a href="//upload.wikimedia.org/wikipedia/commons/archive/5/5a/20230724204437%21Venn0010.svg">14:07, 26 липня 2009</a></td><td><a href="//upload.wikimedia.org/wikipedia/commons/archive/5/5a/20230724204437%21Venn0010.svg"><img alt="Мініатюра для версії від 14:07, 26 липня 2009" src="//upload.wikimedia.org/wikipedia/commons/thumb/archive/5/5a/20230724204437%21Venn0010.svg/120px-Venn0010.svg.png" decoding="async" loading="lazy" width="120" height="88" data-file-width="384" data-file-height="280" /></a></td><td>384 × 280 <span style="white-space: nowrap;">(3 КБ)</span></td><td><a href="/wiki/%D0%9A%D0%BE%D1%80%D0%B8%D1%81%D1%82%D1%83%D0%B2%D0%B0%D1%87:Watchduck" class="mw-userlink" title="Користувач:Watchduck"><bdi>Watchduck</bdi></a></td><td dir="ltr"> </td></tr> <tr><td></td><td style="white-space: nowrap;"><a href="//upload.wikimedia.org/wikipedia/commons/archive/5/5a/20090726140727%21Venn0010.svg">13:25, 26 січня 2008</a></td><td><a href="//upload.wikimedia.org/wikipedia/commons/archive/5/5a/20090726140727%21Venn0010.svg"><img alt="Мініатюра для версії від 13:25, 26 січня 2008" src="//upload.wikimedia.org/wikipedia/commons/thumb/archive/5/5a/20090726140727%21Venn0010.svg/120px-Venn0010.svg.png" decoding="async" loading="lazy" width="120" height="90" data-file-width="615" data-file-height="463" /></a></td><td>615 × 463 <span style="white-space: nowrap;">(4 КБ)</span></td><td><a href="/wiki/%D0%9A%D0%BE%D1%80%D0%B8%D1%81%D1%82%D1%83%D0%B2%D0%B0%D1%87:Watchduck" class="mw-userlink" title="Користувач:Watchduck"><bdi>Watchduck</bdi></a></td><td dir="ltr">{{Information |Description= |Source=eigene arbeit |Date= |Author= <a href="/w/index.php?title=%D0%9A%D0%BE%D1%80%D0%B8%D1%81%D1%82%D1%83%D0%B2%D0%B0%D1%87:Tilman_Piesk&action=edit&redlink=1" class="new" title="Користувач:Tilman Piesk (ще не написана)">Tilman Piesk</a> |Permission= |other_versions= }} </td></tr> <tr><td></td><td style="white-space: nowrap;"><a href="//upload.wikimedia.org/wikipedia/commons/archive/5/5a/20080126132506%21Venn0010.svg">15:58, 22 січня 2008</a></td><td><a href="//upload.wikimedia.org/wikipedia/commons/archive/5/5a/20080126132506%21Venn0010.svg"><img alt="Мініатюра для версії від 15:58, 22 січня 2008" src="//upload.wikimedia.org/wikipedia/commons/thumb/archive/5/5a/20080126132506%21Venn0010.svg/120px-Venn0010.svg.png" decoding="async" loading="lazy" width="120" height="90" data-file-width="615" data-file-height="463" /></a></td><td>615 × 463 <span style="white-space: nowrap;">(4 КБ)</span></td><td><a href="/wiki/%D0%9A%D0%BE%D1%80%D0%B8%D1%81%D1%82%D1%83%D0%B2%D0%B0%D1%87:Watchduck" class="mw-userlink" title="Користувач:Watchduck"><bdi>Watchduck</bdi></a></td><td dir="ltr">{{Information |Description=Venn diagrams (sometimes called Johnston diagrams) concerning propositional calculus and set theory |Source=own work |Date=2008/Jan/22 |Author=Tilman Piesk |Permission=publich domain |other_versions= }} </td></tr> </table> </div> <h2 id="filelinks">Використання файлу</h2> <div id='mw-imagepage-section-linkstoimage'> <p>Такі сторінки використовують цей файл: </p><ul class="mw-imagepage-linkstoimage"> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/%D0%94%D0%BE%D0%BF%D0%BE%D0%B2%D0%BD%D0%B5%D0%BD%D0%BD%D1%8F_%D0%BC%D0%BD%D0%BE%D0%B6%D0%B8%D0%BD" title="Доповнення множин">Доповнення множин</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/%D0%94%D1%96%D0%B0%D0%B3%D1%80%D0%B0%D0%BC%D0%B0_%D0%92%D0%B5%D0%BD%D0%BD%D0%B0" title="Діаграма Венна">Діаграма Венна</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/%D0%9E%D0%B1%D0%B5%D1%80%D0%BD%D0%B5%D0%BD%D0%B0_%D0%BD%D0%B5%D1%96%D0%BC%D0%BF%D0%BB%D1%96%D0%BA%D0%B0%D1%86%D1%96%D1%8F" title="Обернена неімплікація">Обернена неімплікація</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/%D0%A2%D0%B0%D0%B1%D0%BB%D0%B8%D1%86%D1%8F_%D1%96%D1%81%D1%82%D0%B8%D0%BD%D0%BD%D0%BE%D1%81%D1%82%D1%96" title="Таблиця істинності">Таблиця істинності</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D1%96%D1%8F_%D0%BC%D0%BD%D0%BE%D0%B6%D0%B8%D0%BD" title="Теорія множин">Теорія множин</a></li> </ul> </div> <h2 id="globalusage">Глобальне використання файлу</h2> <div id="mw-imagepage-section-globalusage"><p>Цей файл використовують такі інші вікі: </p><ul> <li class='mw-gu-onwiki-ar_wikipedia_org'>Використання в ar.wikipedia.org <ul> <li><a class="external" href="https://ar.wikipedia.org/wiki/%D9%85%D8%AC%D9%85%D9%88%D8%B9%D8%A9_%D9%85%D9%83%D9%85%D9%84%D8%A9_(%D9%86%D8%B8%D8%B1%D9%8A%D8%A9_%D8%A7%D9%84%D9%85%D8%AC%D9%85%D9%88%D8%B9%D8%A7%D8%AA)">مجموعة مكملة (نظرية المجموعات)</a></li> </ul></li> <li class='mw-gu-onwiki-bn_wikipedia_org'>Використання в bn.wikipedia.org <ul> <li><a class="external" href="https://bn.wikipedia.org/wiki/%E0%A6%AD%E0%A7%87%E0%A6%A8_%E0%A6%B0%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%9A%E0%A6%BF%E0%A6%A4%E0%A7%8D%E0%A6%B0">ভেন রেখাচিত্র</a></li> </ul></li> <li class='mw-gu-onwiki-ca_wikipedia_org'>Використання в ca.wikipedia.org <ul> <li><a class="external" href="https://ca.wikipedia.org/wiki/Conjunt">Conjunt</a></li> </ul></li> <li class='mw-gu-onwiki-cs_wikipedia_org'>Використання в cs.wikipedia.org <ul> <li><a class="external" href="https://cs.wikipedia.org/wiki/Mno%C5%BEina">Množina</a></li> </ul></li> <li class='mw-gu-onwiki-de_wikipedia_org'>Використання в de.wikipedia.org <ul> <li><a class="external" href="https://de.wikipedia.org/wiki/Benutzer:Bin_im_Garten/Mathematik/Mengen">Benutzer:Bin im Garten/Mathematik/Mengen</a></li> <li><a class="external" href="https://de.wikipedia.org/wiki/Portal_Diskussion:Mathematik/Archiv/2024/2">Portal Diskussion:Mathematik/Archiv/2024/2</a></li> </ul></li> <li class='mw-gu-onwiki-de_wikibooks_org'>Використання в de.wikibooks.org <ul> <li><a class="external" href="https://de.wikibooks.org/wiki/Formelsammlung_Mathematik:_Mengenlehre">Formelsammlung Mathematik: Mengenlehre</a></li> </ul></li> <li class='mw-gu-onwiki-de_wikiversity_org'>Використання в de.wikiversity.org <ul> <li><a class="external" href="https://de.wikiversity.org/wiki/Benutzer:Watchduck/Spielwiese">Benutzer:Watchduck/Spielwiese</a></li> </ul></li> <li class='mw-gu-onwiki-en_wikipedia_org'>Використання в en.wikipedia.org <ul> <li><a class="external" href="https://en.wikipedia.org/wiki/Venn_diagram">Venn diagram</a></li> <li><a class="external" href="https://en.wikipedia.org/wiki/Truth_function">Truth function</a></li> <li><a class="external" href="https://en.wikipedia.org/wiki/Converse_nonimplication">Converse nonimplication</a></li> <li><a class="external" href="https://en.wikipedia.org/wiki/User:Hlcroto">User:Hlcroto</a></li> <li><a class="external" href="https://en.wikipedia.org/wiki/Talk:Set_(mathematics)/Archive_2">Talk:Set (mathematics)/Archive 2</a></li> <li><a class="external" href="https://en.wikipedia.org/wiki/User_talk:YBG/Archive_6">User talk:YBG/Archive 6</a></li> <li><a class="external" href="https://en.wikipedia.org/wiki/User:Sedentarycephalopod/sandbox">User:Sedentarycephalopod/sandbox</a></li> </ul></li> <li class='mw-gu-onwiki-en_wikibooks_org'>Використання в en.wikibooks.org <ul> <li><a class="external" href="https://en.wikibooks.org/wiki/Mathematical_Proof/Print_version">Mathematical Proof/Print version</a></li> <li><a class="external" href="https://en.wikibooks.org/wiki/Probability/Set_Theory">Probability/Set Theory</a></li> <li><a class="external" href="https://en.wikibooks.org/wiki/Pascal_Programming/Sets">Pascal Programming/Sets</a></li> <li><a class="external" href="https://en.wikibooks.org/wiki/Pascal_Programming/Print_Version">Pascal Programming/Print Version</a></li> <li><a class="external" href="https://en.wikibooks.org/wiki/Mathematical_Proof/Introduction_to_Set_Theory">Mathematical Proof/Introduction to Set Theory</a></li> </ul></li> <li class='mw-gu-onwiki-en_wikiversity_org'>Використання в en.wikiversity.org <ul> <li><a class="external" href="https://en.wikiversity.org/wiki/User:Watchduck/Logic">User:Watchduck/Logic</a></li> <li><a class="external" href="https://en.wikiversity.org/wiki/SQL/Join">SQL/Join</a></li> </ul></li> <li class='mw-gu-onwiki-eu_wikipedia_org'>Використання в eu.wikipedia.org <ul> <li><a class="external" href="https://eu.wikipedia.org/wiki/Multzo">Multzo</a></li> </ul></li> <li class='mw-gu-onwiki-fa_wikipedia_org'>Використання в fa.wikipedia.org <ul> <li><a class="external" href="https://fa.wikipedia.org/wiki/%D9%86%D9%85%D9%88%D8%AF%D8%A7%D8%B1_%D9%88%D9%86">نمودار ون</a></li> </ul></li> <li class='mw-gu-onwiki-fi_wikipedia_org'>Використання в fi.wikipedia.org <ul> <li><a class="external" href="https://fi.wikipedia.org/wiki/Venn-diagrammi">Venn-diagrammi</a></li> <li><a class="external" href="https://fi.wikipedia.org/wiki/Relaatioalgebra">Relaatioalgebra</a></li> </ul></li> <li class='mw-gu-onwiki-fr_wikipedia_org'>Використання в fr.wikipedia.org <ul> <li><a class="external" href="https://fr.wikipedia.org/wiki/Non-implication_r%C3%A9ciproque">Non-implication réciproque</a></li> <li><a class="external" href="https://fr.wikipedia.org/wiki/Connecteur_logique">Connecteur logique</a></li> </ul></li> <li class='mw-gu-onwiki-fur_wikipedia_org'>Використання в fur.wikipedia.org <ul> <li><a class="external" href="https://fur.wikipedia.org/wiki/Insiemi">Insiemi</a></li> </ul></li> <li class='mw-gu-onwiki-id_wikipedia_org'>Використання в id.wikipedia.org <ul> <li><a class="external" href="https://id.wikipedia.org/wiki/Komplemen_(teori_himpunan)">Komplemen (teori himpunan)</a></li> </ul></li> <li class='mw-gu-onwiki-it_wikipedia_org'>Використання в it.wikipedia.org <ul> <li><a class="external" href="https://it.wikipedia.org/wiki/Insieme">Insieme</a></li> <li><a class="external" href="https://it.wikipedia.org/wiki/Insieme_complemento">Insieme complemento</a></li> <li><a class="external" href="https://it.wikipedia.org/wiki/Non-implicazione_inversa">Non-implicazione inversa</a></li> </ul></li> <li class='mw-gu-onwiki-it_wikiversity_org'>Використання в it.wikiversity.org <ul> <li><a class="external" href="https://it.wikiversity.org/wiki/Richiami_di_Insiemistica">Richiami di Insiemistica</a></li> </ul></li> <li class='mw-gu-onwiki-ja_wikipedia_org'>Використання в ja.wikipedia.org <ul> <li><a class="external" href="https://ja.wikipedia.org/wiki/%E5%B7%AE%E9%9B%86%E5%90%88">差集合</a></li> <li><a class="external" href="https://ja.wikipedia.org/wiki/%E8%AB%96%E7%90%86%E6%BC%94%E7%AE%97">論理演算</a></li> </ul></li> <li class='mw-gu-onwiki-ja_wikibooks_org'>Використання в ja.wikibooks.org <ul> <li><a class="external" href="https://ja.wikibooks.org/wiki/%E3%83%AD%E3%82%B8%E3%83%90%E3%83%B3/%E7%B5%B1%E8%AA%9E%E8%AB%96/%E6%8E%A5%E7%B6%9A%E8%A1%A8%E7%8F%BE">ロジバン/統語論/接続表現</a></li> </ul></li> <li class='mw-gu-onwiki-ko_wikipedia_org'>Використання в ko.wikipedia.org <ul> <li><a class="external" href="https://ko.wikipedia.org/wiki/%EC%A7%91%ED%95%A9">집합</a></li> <li><a class="external" href="https://ko.wikipedia.org/wiki/%EB%B2%A4_%EB%8B%A4%EC%9D%B4%EC%96%B4%EA%B7%B8%EB%9E%A8">벤 다이어그램</a></li> </ul></li> <li class='mw-gu-onwiki-ms_wikipedia_org'>Використання в ms.wikipedia.org <ul> <li><a class="external" href="https://ms.wikipedia.org/wiki/Pelengkap_(teori_set)">Pelengkap (teori set)</a></li> </ul></li> <li class='mw-gu-onwiki-no_wikipedia_org'>Використання в no.wikipedia.org <ul> <li><a class="external" href="https://no.wikipedia.org/wiki/Mengde">Mengde</a></li> <li><a class="external" href="https://no.wikipedia.org/wiki/Venn-diagram">Venn-diagram</a></li> </ul></li> <li class='mw-gu-onwiki-pt_wikipedia_org'>Використання в pt.wikipedia.org <ul> <li><a class="external" href="https://pt.wikipedia.org/wiki/Diagrama_de_Venn">Diagrama de Venn</a></li> <li><a class="external" href="https://pt.wikipedia.org/wiki/Complementar">Complementar</a></li> <li><a class="external" href="https://pt.wikipedia.org/wiki/Fun%C3%A7%C3%A3o_de_verdade">Função de verdade</a></li> </ul></li> <li class='mw-gu-onwiki-ro_wikipedia_org'>Використання в ro.wikipedia.org <ul> <li><a class="external" href="https://ro.wikipedia.org/wiki/Mul%C8%9Bime">Mulțime</a></li> <li><a class="external" href="https://ro.wikipedia.org/wiki/Complementar%C4%83">Complementară</a></li> </ul></li> <li class='mw-gu-onwiki-simple_wikipedia_org'>Використання в simple.wikipedia.org <ul> <li><a class="external" href="https://simple.wikipedia.org/wiki/Venn_diagram">Venn diagram</a></li> <li><a class="external" href="https://simple.wikipedia.org/wiki/User:P.maistrenko/Set">User:P.maistrenko/Set</a></li> </ul></li> <li class='mw-gu-onwiki-sl_wikipedia_org'>Використання в sl.wikipedia.org <ul> <li><a class="external" href="https://sl.wikipedia.org/wiki/Vennov_diagram">Vennov diagram</a></li> </ul></li> </ul> <p>Переглянути <a href="/wiki/%D0%A1%D0%BF%D0%B5%D1%86%D1%96%D0%B0%D0%BB%D1%8C%D0%BD%D0%B0:%D0%93%D0%BB%D0%BE%D0%B1%D0%B0%D0%BB%D1%8C%D0%BD%D0%B5_%D0%B2%D0%B8%D0%BA%D0%BE%D1%80%D0%B8%D1%81%D1%82%D0%B0%D0%BD%D0%BD%D1%8F/Venn0010.svg" title="Спеціальна:Глобальне використання/Venn0010.svg">сторінку глобального використання</a> цього файлу. </p></div><h2 id="metadata">Метадані</h2> <div class="mw-content-ltr mw-imagepage-section-metadata" lang="uk" dir="ltr"><p>Файл містить додаткові дані, які зазвичай додаються цифровими камерами чи сканерами. Якщо файл редагувався після створення, то деякі параметри можуть не відповідати цьому зображенню.</p><table id="mw_metadata" class="mw_metadata collapsed"> <tbody><tr class="exif-imagewidth mw-metadata-collapsible"><th>Ширина</th><td>380</td></tr><tr class="exif-imagelength mw-metadata-collapsible"><th>Висота</th><td>280</td></tr></tbody></table> </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Отримано з <a dir="ltr" href="https://uk.wikipedia.org/wiki/Файл:Venn0010.svg">https://uk.wikipedia.org/wiki/Файл:Venn0010.svg</a></div></div> <div id="catlinks" class="catlinks catlinks-allhidden" data-mw="interface"></div> </div> </div> <div id="mw-navigation"> <h2>Навігаційне меню</h2> <div id="mw-head"> <nav id="p-personal" class="mw-portlet mw-portlet-personal vector-user-menu-legacy vector-menu" aria-labelledby="p-personal-label" > <h3 id="p-personal-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Особисті інструменти</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anonuserpage" class="mw-list-item"><span title="Сторінка користувача для вашої IP-адреси">Ви не увійшли до системи</span></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%D0%A1%D0%BF%D0%B5%D1%86%D1%96%D0%B0%D0%BB%D1%8C%D0%BD%D0%B0:%D0%9C%D0%BE%D1%94_%D0%BE%D0%B1%D0%B3%D0%BE%D0%B2%D0%BE%D1%80%D0%B5%D0%BD%D0%BD%D1%8F" title="Обговорення редагувань з цієї IP-адреси [n]" accesskey="n"><span>Обговорення</span></a></li><li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/%D0%A1%D0%BF%D0%B5%D1%86%D1%96%D0%B0%D0%BB%D1%8C%D0%BD%D0%B0:%D0%9C%D1%96%D0%B9_%D0%B2%D0%BD%D0%B5%D1%81%D0%BE%D0%BA" title="Список редагувань, зроблених з цієї IP-адреси [y]" accesskey="y"><span>Внесок</span></a></li><li id="pt-createaccount" class="mw-list-item"><a href="/w/index.php?title=%D0%A1%D0%BF%D0%B5%D1%86%D1%96%D0%B0%D0%BB%D1%8C%D0%BD%D0%B0:%D0%A1%D1%82%D0%B2%D0%BE%D1%80%D0%B8%D1%82%D0%B8_%D0%BE%D0%B1%D0%BB%D1%96%D0%BA%D0%BE%D0%B2%D0%B8%D0%B9_%D0%B7%D0%B0%D0%BF%D0%B8%D1%81&returnto=%D0%A4%D0%B0%D0%B9%D0%BB%3AVenn0010.svg" title="Пропонуємо створити обліковий запис і увійти в систему; однак, це не обов'язково"><span>Створити обліковий запис</span></a></li><li id="pt-login" class="mw-list-item"><a href="/w/index.php?title=%D0%A1%D0%BF%D0%B5%D1%86%D1%96%D0%B0%D0%BB%D1%8C%D0%BD%D0%B0:%D0%92%D1%85%D1%96%D0%B4&returnto=%D0%A4%D0%B0%D0%B9%D0%BB%3AVenn0010.svg" title="Заохочуємо Вас увійти в систему, але це необов'язково. [o]" accesskey="o"><span>Увійти</span></a></li> </ul> </div> </nav> <div id="left-navigation"> <nav id="p-namespaces" class="mw-portlet mw-portlet-namespaces vector-menu-tabs vector-menu-tabs-legacy vector-menu" aria-labelledby="p-namespaces-label" > <h3 id="p-namespaces-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Простори назв</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-image" class="selected mw-list-item"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Venn0010.svg" title="Сторінка зображення [c]" accesskey="c"><span>Файл</span></a></li><li id="ca-talk" class="new mw-list-item"><a href="/w/index.php?title=%D0%9E%D0%B1%D0%B3%D0%BE%D0%B2%D0%BE%D1%80%D0%B5%D0%BD%D0%BD%D1%8F_%D1%84%D0%B0%D0%B9%D0%BB%D1%83:Venn0010.svg&action=edit&redlink=1" rel="discussion" class="new" title="Обговорення сторінки (ще не написана) [t]" accesskey="t"><span>Обговорення</span></a></li> </ul> </div> </nav> <nav id="p-variants" class="mw-portlet mw-portlet-variants emptyPortlet vector-menu-dropdown vector-menu" aria-labelledby="p-variants-label" > <input type="checkbox" id="p-variants-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-variants" class="vector-menu-checkbox" aria-labelledby="p-variants-label" > <label id="p-variants-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">українська</span> </label> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </nav> </div> <div id="right-navigation"> <nav id="p-views" class="mw-portlet mw-portlet-views vector-menu-tabs vector-menu-tabs-legacy vector-menu" aria-labelledby="p-views-label" > <h3 id="p-views-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Перегляди</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected mw-list-item"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Venn0010.svg"><span>Читати</span></a></li><li id="ca-view-foreign" class="mw-list-item"><a href="https://commons.wikimedia.org/wiki/File:Venn0010.svg"><span>Переглянути сторінку у Вікісховищі</span></a></li><li id="ca-ve-edit" class="mw-list-item"><a href="/w/index.php?title=%D0%A4%D0%B0%D0%B9%D0%BB:Venn0010.svg&veaction=edit" title="Створити сторінку локального опису [v]" accesskey="v"><span>Додати локальний опис</span></a></li><li id="ca-edit" class="collapsible mw-list-item"><a href="/w/index.php?title=%D0%A4%D0%B0%D0%B9%D0%BB:Venn0010.svg&action=edit" title="Створити вихідний код локальної сторінки опису [e]" accesskey="e"><span>Створити локально як код</span></a></li> </ul> </div> </nav> <nav id="p-cactions" class="mw-portlet mw-portlet-cactions emptyPortlet vector-menu-dropdown vector-menu" aria-labelledby="p-cactions-label" title="Більше опцій" > <input type="checkbox" id="p-cactions-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-cactions" class="vector-menu-checkbox" aria-labelledby="p-cactions-label" > <label id="p-cactions-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Більше</span> </label> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </nav> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <h3 >Пошук</h3> <form action="/w/index.php" id="searchform" class="vector-search-box-form"> <div id="simpleSearch" class="vector-search-box-inner" data-search-loc="header-navigation"> <input class="vector-search-box-input" type="search" name="search" placeholder="Пошук у Вікіпедії" aria-label="Пошук у Вікіпедії" autocapitalize="sentences" title="Шукати у Вікіпедії [f]" accesskey="f" id="searchInput" > <input type="hidden" name="title" value="Спеціальна:Пошук"> <input id="mw-searchButton" class="searchButton mw-fallbackSearchButton" type="submit" name="fulltext" title="Знайти сторінки, що містять зазначений текст" value="Знайти"> <input id="searchButton" class="searchButton" type="submit" name="go" title="Перейти до сторінки, що має точно таку назву (якщо вона існує)" value="Перейти"> </div> </form> </div> </div> </div> <div id="mw-panel" class="vector-legacy-sidebar"> <div id="p-logo" role="banner"> <a class="mw-wiki-logo" href="/wiki/%D0%93%D0%BE%D0%BB%D0%BE%D0%B2%D0%BD%D0%B0_%D1%81%D1%82%D0%BE%D1%80%D1%96%D0%BD%D0%BA%D0%B0" title="Перейти на головну сторінку"></a> </div> <nav id="p-navigation" class="mw-portlet mw-portlet-navigation vector-menu-portal portal vector-menu" aria-labelledby="p-navigation-label" > <h3 id="p-navigation-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Навігація</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/%D0%93%D0%BE%D0%BB%D0%BE%D0%B2%D0%BD%D0%B0_%D1%81%D1%82%D0%BE%D1%80%D1%96%D0%BD%D0%BA%D0%B0" title="Перейти на головну сторінку [z]" accesskey="z"><span>Головна сторінка</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/%D0%9F%D0%BE%D1%80%D1%82%D0%B0%D0%BB:%D0%9F%D0%BE%D1%82%D0%BE%D1%87%D0%BD%D1%96_%D0%BF%D0%BE%D0%B4%D1%96%D1%97" title="Список поточних подій"><span>Поточні події</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/%D0%A1%D0%BF%D0%B5%D1%86%D1%96%D0%B0%D0%BB%D1%8C%D0%BD%D0%B0:%D0%9D%D0%BE%D0%B2%D1%96_%D1%80%D0%B5%D0%B4%D0%B0%D0%B3%D1%83%D0%B2%D0%B0%D0%BD%D0%BD%D1%8F" title="Список останніх змін у цій вікі [r]" accesskey="r"><span>Нові редагування</span></a></li><li id="n-newpages" class="mw-list-item"><a href="/wiki/%D0%A1%D0%BF%D0%B5%D1%86%D1%96%D0%B0%D0%BB%D1%8C%D0%BD%D0%B0:%D0%9D%D0%BE%D0%B2%D1%96_%D1%81%D1%82%D0%BE%D1%80%D1%96%D0%BD%D0%BA%D0%B8"><span>Нові сторінки</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/%D0%A1%D0%BF%D0%B5%D1%86%D1%96%D0%B0%D0%BB%D1%8C%D0%BD%D0%B0:%D0%92%D0%B8%D0%BF%D0%B0%D0%B4%D0%BA%D0%BE%D0%B2%D0%B0_%D1%81%D1%82%D0%BE%D1%80%D1%96%D0%BD%D0%BA%D0%B0" title="Переглянути випадкову сторінку [x]" accesskey="x"><span>Випадкова стаття</span></a></li> </ul> </div> </nav> <nav id="p-Участь" class="mw-portlet mw-portlet-Участь vector-menu-portal portal vector-menu" aria-labelledby="p-Участь-label" > <h3 id="p-Участь-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Участь</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-portal" class="mw-list-item"><a href="/wiki/%D0%92%D1%96%D0%BA%D1%96%D0%BF%D0%B5%D0%B4%D1%96%D1%8F:%D0%9F%D0%BE%D1%80%D1%82%D0%B0%D0%BB_%D1%81%D0%BF%D1%96%D0%BB%D1%8C%D0%BD%D0%BE%D1%82%D0%B8" title="Про проєкт, про те, що Ви можете зробити, і що де шукати"><span>Портал спільноти</span></a></li><li id="n-tavern" class="mw-list-item"><a href="/wiki/%D0%92%D1%96%D0%BA%D1%96%D0%BF%D0%B5%D0%B4%D1%96%D1%8F:%D0%9A%D0%BD%D0%B0%D0%B9%D0%BF%D0%B0" title="Місце для обговорення більшості питань"><span>Кнайпа</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/%D0%92%D1%96%D0%BA%D1%96%D0%BF%D0%B5%D0%B4%D1%96%D1%8F:%D0%94%D0%BE%D0%B2%D1%96%D0%B4%D0%BA%D0%B0" title="Довідка з проєкту"><span>Довідка</span></a></li><li id="n-sitesupport" class="mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_uk.wikipedia.org&uselang=uk" title="Підтримайте проєкт"><span>Пожертвувати</span></a></li><li id="n-Сторінка-для-медіа" class="mw-list-item"><a href="/wiki/%D0%92%D1%96%D0%BA%D1%96%D0%BF%D0%B5%D0%B4%D1%96%D1%8F:%D0%A1%D1%82%D0%BE%D1%80%D1%96%D0%BD%D0%BA%D0%B0_%D0%B4%D0%BB%D1%8F_%D0%BC%D0%B5%D0%B4%D1%96%D0%B0"><span>Сторінка для медіа</span></a></li> </ul> </div> </nav> <nav id="p-tb" class="mw-portlet mw-portlet-tb vector-menu-portal portal vector-menu" aria-labelledby="p-tb-label" > <h3 id="p-tb-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Інструменти</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/%D0%A1%D0%BF%D0%B5%D1%86%D1%96%D0%B0%D0%BB%D1%8C%D0%BD%D0%B0:%D0%9F%D0%BE%D1%81%D0%B8%D0%BB%D0%B0%D0%BD%D0%BD%D1%8F_%D1%81%D1%8E%D0%B4%D0%B8/%D0%A4%D0%B0%D0%B9%D0%BB:Venn0010.svg" title="Перелік усіх сторінок, які посилаються на цю сторінку [j]" accesskey="j"><span>Посилання сюди</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/%D0%A1%D0%BF%D0%B5%D1%86%D1%96%D0%B0%D0%BB%D1%8C%D0%BD%D0%B0:%D0%A1%D0%BF%D0%B5%D1%86%D1%96%D0%B0%D0%BB%D1%8C%D0%BD%D1%96_%D1%81%D1%82%D0%BE%D1%80%D1%96%D0%BD%D0%BA%D0%B8" title="Перелік спеціальних сторінок [q]" accesskey="q"><span>Спеціальні сторінки</span></a></li><li id="t-print" class="mw-list-item"><a href="javascript:print();" rel="alternate" 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