CINXE.COM

<!DOCTYPE html> <html class="client-nojs skin-theme-clientpref-day mf-expand-sections-clientpref-0 mf-font-size-clientpref-small mw-mf-amc-clientpref-0" lang="en" dir="ltr"> <head> <meta charset="UTF-8"> <title>File:Venn0001.svg - Wikipedia</title> <script>(function(){var className="client-js skin-theme-clientpref-day mf-expand-sections-clientpref-0 mf-font-size-clientpref-small mw-mf-amc-clientpref-0";var cookie=document.cookie.match(/(?:^|; )enwikimwclientpreferences=([^;]+)/);if(cookie){cookie[1].split('%2C').forEach(function(pref){className=className.replace(new RegExp('(^| )'+pref.replace(/-clientpref-\w+$|[^\w-]+/g,'')+'-clientpref-\\w+( |$)'),'$1'+pref+'$2');});}document.documentElement.className=className;}());RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":["",""],"wgDigitTransformTable":["",""],"wgDefaultDateFormat":"dmy","wgMonthNames":["","January","February","March","April","May","June","July","August","September","October","November","December"],"wgRequestId":"9a3fe874-c662-4a38-99a0-20aff874ea94","wgCanonicalNamespace":"File","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":6,"wgPageName":"File:Venn0001.svg","wgTitle":"Venn0001.svg","wgCurRevisionId":0,"wgRevisionId":0,"wgArticleId":0,"wgIsArticle":true, "wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgPageViewLanguage":"en","wgPageContentLanguage":"en","wgPageContentModel":"wikitext","wgRelevantPageName":"File:Venn0001.svg","wgRelevantArticleId":0,"wgIsProbablyEditable":false,"wgRelevantPageIsProbablyEditable":false,"wgRestrictionCreate":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":false,"wgFlaggedRevsParams":{"tags":{"status":{"levels":1}}},"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"en","pageLanguageDir":"ltr","pageVariantFallbacks":"en"},"wgMFMode":"stable","wgMFAmc":false,"wgMFAmcOutreachActive":false,"wgMFAmcOutreachUserEligible":false,"wgMFLazyLoadImages":true,"wgMFEditNoticesFeatureConflict":false,"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":false,"nearby":true},"wgMFIsSupportedEditRequest":true,"wgMFScriptPath":"","wgWMESchemaEditAttemptStepOversample":false, "wgWMEPageLength":0,"wgRelatedArticlesCompat":[],"wgCentralAuthMobileDomain":true,"wgEditSubmitButtonLabelPublish":true,"wgSectionTranslationTargetLanguages":["ace","ady","alt","am","ami","an","ang","ann","anp","ar","ary","arz","as","ast","av","avk","awa","ay","az","azb","ba","ban","bar","bbc","bcl","bdr","be","bew","bg","bho","bi","bjn","blk","bm","bn","bo","bpy","br","bs","btm","bug","ca","cdo","ce","ceb","ch","chr","ckb","co","cr","crh","cs","cu","cy","da","dag","de","dga","din","diq","dsb","dtp","dv","dz","ee","el","eml","eo","es","et","eu","fa","fat","ff","fi","fj","fo","fon","fr","frp","frr","fur","fy","gag","gan","gcr","gl","glk","gn","gom","gor","gpe","gu","guc","gur","guw","gv","ha","hak","haw","he","hi","hif","hr","hsb","ht","hu","hy","hyw","ia","iba","ie","ig","igl","ilo","io","is","it","iu","ja","jam","jv","ka","kaa","kab","kbd","kbp","kcg","kg","kge","ki","kk","kl","km","kn","ko","koi","krc","ks","ku","kus","kv","kw","ky","lad","lb","lez","lg","li","lij","lld","lmo","ln", "lo","lt","ltg","lv","mad","mai","map-bms","mdf","mg","mhr","mi","min","mk","ml","mn","mni","mnw","mos","mr","mrj","ms","mt","mwl","my","myv","mzn","nah","nan","nap","nb","nds","nds-nl","ne","new","nia","nl","nn","nqo","nr","nso","ny","oc","om","or","os","pa","pag","pam","pap","pcd","pcm","pdc","pl","pms","pnb","ps","pt","pwn","qu","rm","rn","ro","rsk","rue","rup","rw","sa","sah","sat","sc","scn","sco","sd","se","sg","sgs","sh","shi","shn","si","sk","skr","sl","sm","smn","sn","so","sq","sr","srn","ss","st","stq","su","sv","sw","szl","ta","tay","tcy","tdd","te","tet","tg","th","ti","tk","tl","tly","tn","to","tpi","tr","trv","ts","tt","tum","tw","ty","tyv","udm","ur","uz","ve","vec","vep","vi","vls","vo","vro","wa","war","wo","wuu","xal","xh","xmf","yi","yo","yue","za","zgh","zh","zu"],"isLanguageSearcherCXEntrypointEnabled":false,"mintEntrypointLanguages":["ace","ast","azb","bcl","bjn","bh","crh","ff","fon","ig","is","ki","ks","lmo","min","sat","ss","tn","vec"], "wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness","fullVersionList","mobile","model","platform","platformVersion"],"GEHomepageSuggestedEditsEnableTopics":true,"wgGETopicsMatchModeEnabled":false,"wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false,"wgMinervaPermissions":{"watchable":true,"watch":false},"wgMinervaFeatures":{"beta":false,"donate":true,"mobileOptionsLink":true,"categories":false,"pageIssues":true,"talkAtTop":true,"historyInPageActions":false,"overflowSubmenu":false,"tabsOnSpecials":true,"personalMenu":false,"mainMenuExpanded":false,"echo":true,"nightMode":true},"wgMinervaDownloadNamespaces":[0]};RLSTATE={"ext.globalCssJs.user.styles":"ready","site.styles":"ready","user.styles":"ready","ext.globalCssJs.user":"ready","user":"ready","user.options":"loading","mediawiki.interface.helpers.styles":"ready","mediawiki.action.view.filepage":"ready","skins.minerva.styles":"ready","skins.minerva.content.styles.images": "ready","mediawiki.hlist":"ready","skins.minerva.codex.styles":"ready","skins.minerva.icons":"ready","filepage":"ready","skins.minerva.amc.styles":"ready","ext.wikimediamessages.styles":"ready","mobile.init.styles":"ready","ext.wikimediaBadges":"ready"};RLPAGEMODULES=["mediawiki.action.view.metadata","site","mediawiki.page.ready","skins.minerva.scripts","ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.gadget.switcher","ext.urlShortener.toolbar","ext.centralauth.centralautologin","ext.popups","mobile.init","ext.echo.centralauth","ext.eventLogging","ext.wikimediaEvents","ext.navigationTiming","ext.cx.eventlogging.campaigns","ext.cx.entrypoints.languagesearcher.init","mw.externalguidance.init","ext.checkUser.clientHints"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=en&modules=ext.wikimediaBadges%7Cext.wikimediamessages.styles%7Cfilepage%7Cmediawiki.action.view.filepage%7Cmediawiki.hlist%7Cmediawiki.interface.helpers.styles%7Cmobile.init.styles%7Cskins.minerva.amc.styles%7Cskins.minerva.codex.styles%7Cskins.minerva.content.styles.images%7Cskins.minerva.icons%2Cstyles&only=styles&skin=minerva"> <script async="" src="/w/load.php?lang=en&modules=startup&only=scripts&raw=1&skin=minerva"></script> <link rel="stylesheet" href="https://commons.wikimedia.org/w/index.php?title=MediaWiki:Filepage.css&action=raw&ctype=text/css"> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=en&modules=site.styles&only=styles&skin=minerva"> <meta name="generator" content="MediaWiki 1.44.0-wmf.4"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <meta name="robots" content="max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta name="theme-color" content="#eaecf0"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/thumb/9/99/Venn0001.svg/1200px-Venn0001.svg.png"> <meta property="og:image:width" content="1200"> <meta property="og:image:height" content="875"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/thumb/9/99/Venn0001.svg/800px-Venn0001.svg.png"> <meta property="og:image:width" content="800"> <meta property="og:image:height" content="583"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/thumb/9/99/Venn0001.svg/640px-Venn0001.svg.png"> <meta property="og:image:width" content="640"> <meta property="og:image:height" content="467"> <meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes, minimum-scale=0.25, maximum-scale=5.0"> <meta property="og:title" content="File:Venn0001.svg - Wikipedia"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="manifest" href="/w/api.php?action=webapp-manifest"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="Wikipedia (en)"> <link rel="EditURI" type="application/rsd+xml" href="//en.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://commons.wikimedia.org/wiki/File:Venn0001.svg"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.en"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-6 ns-subject page-File_Venn0001_svg rootpage-File_Venn0001_svg stable skin-minerva action-view skin--responsive mw-mf-amc-disabled mw-mf"><div id="mw-mf-viewport"> <div id="mw-mf-page-center"> <a class="mw-mf-page-center__mask" href="#"></a> <header class="header-container header-chrome"> <div class="minerva-header"> <nav class="navigation-drawer toggle-list view-border-box"> <input type="checkbox" id="main-menu-input" class="toggle-list__checkbox" role="button" aria-haspopup="true" aria-expanded="false" aria-labelledby="mw-mf-main-menu-button"> <label role="button" for="main-menu-input" id="mw-mf-main-menu-button" aria-hidden="true" data-event-name="ui.mainmenu" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet toggle-list__toggle"> <span class="minerva-icon minerva-icon--menu"></span> <span></span> </label> <div id="mw-mf-page-left" class="menu view-border-box"> <ul id="p-navigation" class="toggle-list__list"> <li class="toggle-list-item "> <a class="toggle-list-item__anchor menu__item--home" href="/wiki/Main_Page" data-mw="interface"> <span class="minerva-icon minerva-icon--home"></span> <span class="toggle-list-item__label">Home</span> </a> </li> <li class="toggle-list-item "> <a class="toggle-list-item__anchor menu__item--random" href="/wiki/Special:Random" data-mw="interface"> <span class="minerva-icon minerva-icon--die"></span> <span class="toggle-list-item__label">Random</span> </a> </li> <li class="toggle-list-item skin-minerva-list-item-jsonly"> <a class="toggle-list-item__anchor menu__item--nearby" href="/wiki/Special:Nearby" data-event-name="menu.nearby" data-mw="interface"> <span class="minerva-icon minerva-icon--mapPin"></span> <span class="toggle-list-item__label">Nearby</span> </a> </li> </ul> <ul id="p-personal" class="toggle-list__list"> <li class="toggle-list-item "> <a class="toggle-list-item__anchor menu__item--login" href="/w/index.php?title=Special:UserLogin&returnto=File%3AVenn0001.svg" data-event-name="menu.login" data-mw="interface"> <span class="minerva-icon minerva-icon--logIn"></span> <span class="toggle-list-item__label">Log in</span> </a> </li> </ul> <ul id="pt-preferences" class="toggle-list__list"> <li class="toggle-list-item skin-minerva-list-item-jsonly"> <a class="toggle-list-item__anchor menu__item--settings" href="/w/index.php?title=Special:MobileOptions&returnto=File%3AVenn0001.svg" data-event-name="menu.settings" data-mw="interface"> <span class="minerva-icon minerva-icon--settings"></span> <span class="toggle-list-item__label">Settings</span> </a> </li> </ul> <ul id="p-donation" class="toggle-list__list"> <li class="toggle-list-item "> <a class="toggle-list-item__anchor menu__item--donate" href="https://donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_en.wikipedia.org&uselang=en&utm_key=minerva" data-event-name="menu.donate" data-mw="interface"> <span class="minerva-icon minerva-icon--heart"></span> <span class="toggle-list-item__label">Donate</span> </a> </li> </ul> <ul class="hlist"> <li class="toggle-list-item "> <a class="toggle-list-item__anchor menu__item--about" href="/wiki/Wikipedia:About" data-mw="interface"> <span class="toggle-list-item__label">About Wikipedia</span> </a> </li> <li class="toggle-list-item "> <a class="toggle-list-item__anchor menu__item--disclaimers" href="/wiki/Wikipedia:General_disclaimer" data-mw="interface"> <span class="toggle-list-item__label">Disclaimers</span> </a> </li> </ul> </div> <label class="main-menu-mask" for="main-menu-input"></label> </nav> <div class="branding-box"> <a href="/wiki/Main_Page"> <span><img src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" alt="Wikipedia" width="120" height="18" style="width: 7.5em; height: 1.125em;"/> </span> </a> </div> <form action="/w/index.php" method="get" class="minerva-search-form"> <div class="search-box"> <input type="hidden" name="title" value="Special:Search"/> <input class="search skin-minerva-search-trigger" id="searchInput" type="search" name="search" placeholder="Search Wikipedia" aria-label="Search Wikipedia" autocapitalize="sentences" title="Search Wikipedia [f]" accesskey="f"> <span class="search-box-icon-overlay"><span class="minerva-icon minerva-icon--search"></span> </span> </div> <button id="searchIcon" class="cdx-button cdx-button--size-large cdx-button--icon-only cdx-button--weight-quiet skin-minerva-search-trigger"> <span class="minerva-icon minerva-icon--search"></span> <span>Search</span> </button> </form> <nav class="minerva-user-navigation" aria-label="User navigation"> </nav> </div> </header> <main id="content" class="mw-body"> <div class="banner-container"> <div id="siteNotice"></div> </div> <div class="pre-content heading-holder"> <div class="page-heading"> <h1 id="firstHeading" class="firstHeading mw-first-heading">File:Venn0001.svg</h1> <div class="tagline"></div> </div> <ul id="p-associated-pages" class="minerva__tab-container"> <li class="minerva__tab selected"> <a class="minerva__tab-text" href="/wiki/File:Venn0001.svg" rel="" data-event-name="tabs.subject">File</a> </li> <li class="minerva__tab new"> <a class="minerva__tab-text" href="/w/index.php?title=File_talk:Venn0001.svg&action=edit&redlink=1" rel="" data-event-name="tabs.talk">Talk</a> </li> </ul> <nav class="page-actions-menu"> <ul id="p-views" class="page-actions-menu__list"> <li id="language-selector" class="page-actions-menu__list-item"> <a role="button" href="" data-mw="interface" data-event-name="menu.languages" title="Language" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet language-selector disabled"> <span class="minerva-icon minerva-icon--language"></span> <span>Language</span> </a> </li> <li id="page-actions-watch" class="page-actions-menu__list-item"> <a role="button" id="ca-watch" href="/w/index.php?title=Special:UserLogin&returnto=File%3AVenn0001.svg" data-event-name="menu.watch" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet menu__item--page-actions-watch"> <span class="minerva-icon minerva-icon--star"></span> <span>Watch</span> </a> </li> </ul> </nav>  <div id="mw-content-subtitle"></div> </div> <div id="bodyContent" class="content"> <div id="mw-content-text" class="mw-body-content"><script>function mfTempOpenSection(id){var block=document.getElementById("mf-section-"+id);block.className+=" open-block";block.previousSibling.className+=" open-block";}</script><ul id="filetoc" role="navigation"><li><a href="#file">File</a></li> <li><a href="#filehistory">File history</a></li> <li><a href="#filelinks">File usage</a></li> <li><a href="#globalusage">Global file usage</a></li> <li><a href="#metadata">Metadata</a></li></ul><div class="fullImageLink" id="file"><a href="//upload.wikimedia.org/wikipedia/commons/9/99/Venn0001.svg"><img alt="File:Venn0001.svg" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Venn0001.svg/410px-Venn0001.svg.png" decoding="async" width="410" height="299" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Venn0001.svg/615px-Venn0001.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/99/Venn0001.svg/820px-Venn0001.svg.png 2x" data-file-width="410" data-file-height="299" /></a><div class="mw-filepage-resolutioninfo">Size of this PNG preview of this SVG file: <a href="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Venn0001.svg/410px-Venn0001.svg.png" class="mw-thumbnail-link">410 × 299 pixels</a>. <span class="mw-filepage-other-resolutions">Other resolutions: <a href="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Venn0001.svg/320px-Venn0001.svg.png" class="mw-thumbnail-link">320 × 233 pixels</a> | <a href="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Venn0001.svg/640px-Venn0001.svg.png" class="mw-thumbnail-link">640 × 467 pixels</a> | <a href="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Venn0001.svg/1024px-Venn0001.svg.png" class="mw-thumbnail-link">1,024 × 747 pixels</a> | <a href="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Venn0001.svg/1280px-Venn0001.svg.png" class="mw-thumbnail-link">1,280 × 933 pixels</a> | <a href="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Venn0001.svg/2560px-Venn0001.svg.png" class="mw-thumbnail-link">2,560 × 1,867 pixels</a>.</span></div></div> <div class="mw-content-ltr fullMedia" lang="en" dir="ltr"><p><bdi dir="ltr"><a href="//upload.wikimedia.org/wikipedia/commons/9/99/Venn0001.svg" class="internal" title="Venn0001.svg">Original file</a></bdi> <span class="fileInfo">(SVG file, nominally 410 × 299 pixels, file size: 3 KB)</span> </p></div><div class="sharedUploadNotice"> <div class="mw-parser-output"> <style data-mw-deduplicate="TemplateStyles:r1238441935">.mw-parser-output .fmbox{clear:both;margin:0.2em 0;width:100%;border:1px solid #a2a9b1;background-color:var(--background-color-interactive-subtle,#f8f9fa);box-sizing:border-box;color:var(--color-base,#202122)}.mw-parser-output .fmbox-warning{border:1px solid #bb7070;background-color:#ffdbdb}.mw-parser-output .fmbox-editnotice{background-color:transparent}.mw-parser-output .fmbox .mbox-text{border:none;padding:0.25em 0.9em;width:100%}.mw-parser-output .fmbox .mbox-image{border:none;padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .fmbox .mbox-imageright{border:none;padding:2px 0.9em 2px 0;text-align:center}.mw-parser-output .fmbox .mbox-invalid-type{text-align:center}@media screen{html.skin-theme-clientpref-night .mw-parser-output .fmbox-warning{background-color:#300}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .fmbox-warning{background-color:#300}}</style><table id="mw-sharedupload" class="plainlinks fmbox fmbox-system" role="presentation"><tbody><tr><td class="mbox-image"><span class="noviewer" typeof="mw:File"><span title="Wikimedia Commons logo"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png" decoding="async" width="30" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/45px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/59px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span></td><td class="mbox-text" style="text-align: center;">This is a file from the <a href="https://commons.wikimedia.org/wiki/Main_Page" class="extiw" title="commons:Main Page">Wikimedia Commons</a>. Information from its <b><a href="https://commons.wikimedia.org/wiki/File:Venn0001.svg" class="extiw" title="commons:File:Venn0001.svg">description page there</a></b> is shown below.<br /><span style="font-size: smaller;">Commons is a freely licensed media file repository. <a href="https://commons.wikimedia.org/wiki/Commons:Welcome" class="extiw" title="commons:Commons:Welcome">You can help</a>.</span></td></tr></tbody></table> </div> </div> <div id="shared-image-desc"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="mw-heading mw-heading2"><h2 id="Summary">Summary</h2></div> <div class="hproduct commons-file-information-table"> <table class="fileinfotpl-type-information vevent" dir="ltr"> <tbody><tr> <td id="fileinfotpl_desc" class="fileinfo-paramfield" lang="en">Description<span class="summary fn" style="display:none">Venn0001.svg</span></td> <td class="description"> Intersection math</td> </tr> <tr> <td class="fileinfo-paramfield" lang="en">Source</td> <td> <div class="boilerplate metadata" id="cleanup" style="text-align: center; color: inherit;background: var(--background-color-warning-subtle,#ffe); margin: .75em 15%; padding: .5em; border: 1px solid var(--border-color-content-removed,#e3e3b0); direction: ltr;" lang="en">This file is lacking <b>source</b> information. <p>Please edit this file's description and provide a source. </p> </div></td> </tr> <tr> <td class="fileinfo-paramfield" lang="en">Author</td> <td> <div class="boilerplate metadata" id="cleanup" style="text-align: center; color: inherit;background: var(--background-color-warning-subtle,#ffe); margin: .75em 15%; padding: .5em; border: 1px solid var(--border-color-content-removed,#e3e3b0); direction: ltr;" lang="en">This file is lacking <b>author</b> information. </div></td> </tr> <tr> <td id="fileinfotpl_perm" class="fileinfo-paramfield" lang="en">Permission<br><small>(<a href="//commons.wikimedia.org/wiki/Commons:Reusing_content_outside_Wikimedia" title="Commons:Reusing content outside Wikimedia">Reusing this file</a>)</small></td> <td> Public Domain</td> </tr> </tbody></table> </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> <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="en"> <tbody><tr> <td><span typeof="mw:File"><span><img src="https://upload.wikimedia.org/wikipedia/commons/thumb/6/62/PD-icon.svg/64px-PD-icon.svg.png" decoding="async" width="64" height="64" class="mw-file-element" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/6/62/PD-icon.svg/96px-PD-icon.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/6/62/PD-icon.svg/128px-PD-icon.svg.png 2x" data-file-width="196" data-file-height="196"></span></span> </td> <td><i>This work is <b>ineligible for <a href="https://en.wikipedia.org/wiki/copyrights" class="extiw" title="w:copyrights">copyright</a></b> and therefore in the <b><a href="https://en.wikipedia.org/wiki/public_domain" class="extiw" title="w:public domain">public domain</a></b> because it consists entirely of information that is <a href="//commons.wikimedia.org/wiki/Commons:Threshold_of_originality" title="Commons:Threshold of originality">common property and contains no original authorship</a>.</i> </td></tr></tbody></table><h1 class="mw-slot-header"><mediainfoslotheader></mediainfoslotheader></h1><mediainfoview style="display: none"><mediainfoviewcaptions><div class="wbmi-entityview-captionsPanel oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-framed"><h3 class="wbmi-entityview-captions-header">Captions</h3><div class="wbmi-entityview-caption oo-ui-layout oo-ui-horizontalLayout"><label class="wbmi-language-label oo-ui-widget oo-ui-widget-enabled oo-ui-labelElement-label oo-ui-labelElement oo-ui-labelWidget">English</label><div lang="en" dir="ltr" class="wbmi-caption-value wbmi-entityview-emptyCaption">Add a one-line explanation of what this file represents</div></div></div></mediainfoviewcaptions><mediainfoviewstatements><div id="P180" data-property="P180" data-statements="[]" data-formatvalue="[]" class="wbmi-entityview-statementsGroup wbmi-entityview-statementsGroup-P180 oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-framed"><div class="wbmi-statements-widget"><div class="wbmi-statement-header"><div class="wbmi-entity-data"><div class="wbmi-entity-title"><h3 class="wbmi-statements-title">Items portrayed in this file</h3><h4 class="wbmi-entity-label"><bdi><a target="_blank" title="d:Special:EntityPage/P180" href="https://www.wikidata.org/wiki/Special:EntityPage/P180">depicts</a></bdi></h4></div></div></div><div class="wbmi-content-items-group"></div></div></div><div id="P3575" data-property="P3575" data-statements="[{"mainsnak":{"snaktype":"value","property":"P3575","hash":"6e4014cc56a684bbb354e34a762dae15714c38e7","datavalue":{"value":{"amount":"+2908","unit":"http:\/\/www.wikidata.org\/entity\/Q8799"},"type":"quantity"}},"type":"statement","id":"M3437020$1FC27E3E-6CEE-469E-8BCD-87C6AF376906","rank":"normal"}]" data-formatvalue="{"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":3575,\"id\":\"P3575\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":"<a target=\"_blank\" title=\"d:Special:EntityPage\/P3575\" href=\"https:\/\/www.wikidata.org\/wiki\/Special:EntityPage\/P3575\">data size<\/a>"}},"text\/plain":{"en":{"":"data size"}}},"{\"value\":{\"amount\":\"+2908\",\"unit\":\"http:\\\/\\\/www.wikidata.org\\\/entity\\\/Q8799\"},\"type\":\"quantity\"}":{"text\/html":{"en":{"P3575":"2,908 <span class=\"wb-unit\">byte<\/span>"}},"text\/plain":{"en":{"P3575":"2,908 byte"}}}}" class="wbmi-entityview-statementsGroup wbmi-entityview-statementsGroup-P3575 oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-framed"><div class="wbmi-statements-widget"><div class="wbmi-statement-header"><div class="wbmi-entity-data"><div class="wbmi-entity-title"><h4 class="wbmi-entity-label"><bdi><a target="_blank" title="d:Special:EntityPage/P3575" href="https://www.wikidata.org/wiki/Special:EntityPage/P3575">data size</a></bdi></h4></div></div></div><div class="wbmi-content-items-group"><div class="wbmi-item wbmi-item-read"><div data-guid="M3437020$1FC27E3E-6CEE-469E-8BCD-87C6AF376906" class="wbmi-item-container"><div class="wbmi-entity-header"><div class="wbmi-entity-data"><div class="wbmi-entity-title"><h4 class="wbmi-entity-label"><bdi>2,908 <span class="wb-unit">byte</span></bdi></h4></div></div></div></div></div></div></div></div><div id="P2048" data-property="P2048" data-statements="[{"mainsnak":{"snaktype":"value","property":"P2048","hash":"f515bba011c35d38e5ea27faa220c80bfe56cdeb","datavalue":{"value":{"amount":"+280","unit":"http:\/\/www.wikidata.org\/entity\/Q355198"},"type":"quantity"}},"type":"statement","id":"M3437020$0FE99C4F-DC77-474A-A0A9-6AE739EBE9BF","rank":"normal"}]" data-formatvalue="{"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":2048,\"id\":\"P2048\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":"<a target=\"_blank\" title=\"d:Special:EntityPage\/P2048\" href=\"https:\/\/www.wikidata.org\/wiki\/Special:EntityPage\/P2048\">height<\/a>"}},"text\/plain":{"en":{"":"height"}}},"{\"value\":{\"amount\":\"+280\",\"unit\":\"http:\\\/\\\/www.wikidata.org\\\/entity\\\/Q355198\"},\"type\":\"quantity\"}":{"text\/html":{"en":{"P2048":"280 <span class=\"wb-unit\">pixel<\/span>"}},"text\/plain":{"en":{"P2048":"280 pixel"}}}}" class="wbmi-entityview-statementsGroup wbmi-entityview-statementsGroup-P2048 oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-framed"><div class="wbmi-statements-widget"><div class="wbmi-statement-header"><div class="wbmi-entity-data"><div class="wbmi-entity-title"><h4 class="wbmi-entity-label"><bdi><a target="_blank" title="d:Special:EntityPage/P2048" href="https://www.wikidata.org/wiki/Special:EntityPage/P2048">height</a></bdi></h4></div></div></div><div class="wbmi-content-items-group"><div class="wbmi-item wbmi-item-read"><div data-guid="M3437020$0FE99C4F-DC77-474A-A0A9-6AE739EBE9BF" class="wbmi-item-container"><div class="wbmi-entity-header"><div class="wbmi-entity-data"><div class="wbmi-entity-title"><h4 class="wbmi-entity-label"><bdi>280 <span class="wb-unit">pixel</span></bdi></h4></div></div></div></div></div></div></div></div><div id="P2049" data-property="P2049" data-statements="[{"mainsnak":{"snaktype":"value","property":"P2049","hash":"128a1b7f899d00b4705fd0cd986521c166952b73","datavalue":{"value":{"amount":"+384","unit":"http:\/\/www.wikidata.org\/entity\/Q355198"},"type":"quantity"}},"type":"statement","id":"M3437020$5BA9C080-EFD3-455C-8311-E8DBB4C525A3","rank":"normal"}]" data-formatvalue="{"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":2049,\"id\":\"P2049\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":"<a target=\"_blank\" title=\"d:Special:EntityPage\/P2049\" href=\"https:\/\/www.wikidata.org\/wiki\/Special:EntityPage\/P2049\">width<\/a>"}},"text\/plain":{"en":{"":"width"}}},"{\"value\":{\"amount\":\"+384\",\"unit\":\"http:\\\/\\\/www.wikidata.org\\\/entity\\\/Q355198\"},\"type\":\"quantity\"}":{"text\/html":{"en":{"P2049":"384 <span class=\"wb-unit\">pixel<\/span>"}},"text\/plain":{"en":{"P2049":"384 pixel"}}}}" class="wbmi-entityview-statementsGroup wbmi-entityview-statementsGroup-P2049 oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-framed"><div class="wbmi-statements-widget"><div class="wbmi-statement-header"><div class="wbmi-entity-data"><div class="wbmi-entity-title"><h4 class="wbmi-entity-label"><bdi><a target="_blank" title="d:Special:EntityPage/P2049" href="https://www.wikidata.org/wiki/Special:EntityPage/P2049">width</a></bdi></h4></div></div></div><div class="wbmi-content-items-group"><div class="wbmi-item wbmi-item-read"><div data-guid="M3437020$5BA9C080-EFD3-455C-8311-E8DBB4C525A3" class="wbmi-item-container"><div class="wbmi-entity-header"><div class="wbmi-entity-data"><div class="wbmi-entity-title"><h4 class="wbmi-entity-label"><bdi>384 <span class="wb-unit">pixel</span></bdi></h4></div></div></div></div></div></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":"M3437020$3FC9A1AA-012D-43C7-95AA-562AF0720D9F","rank":"normal"}]" data-formatvalue="{"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":1163,\"id\":\"P1163\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":"<a target=\"_blank\" title=\"d:Special:EntityPage\/P1163\" href=\"https:\/\/www.wikidata.org\/wiki\/Special:EntityPage\/P1163\">media type<\/a>"}},"text\/plain":{"en":{"":"media type"}}},"{\"value\":\"image\\\/svg+xml\",\"type\":\"string\"}":{"text\/html":{"en":{"P1163":"image\/svg+xml"}},"text\/plain":{"en":{"P1163":"image\/svg+xml"}}}}" class="wbmi-entityview-statementsGroup wbmi-entityview-statementsGroup-P1163 oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-framed"><div class="wbmi-statements-widget"><div class="wbmi-statement-header"><div class="wbmi-entity-data"><div class="wbmi-entity-title"><h4 class="wbmi-entity-label"><bdi><a target="_blank" title="d:Special:EntityPage/P1163" href="https://www.wikidata.org/wiki/Special:EntityPage/P1163">media type</a></bdi></h4></div></div></div><div class="wbmi-content-items-group"><div class="wbmi-item wbmi-item-read"><div data-guid="M3437020$3FC9A1AA-012D-43C7-95AA-562AF0720D9F" class="wbmi-item-container"><div class="wbmi-entity-header"><div class="wbmi-entity-data"><div class="wbmi-entity-title"><h4 class="wbmi-entity-label"><bdi>image/svg+xml</bdi></h4></div></div></div></div></div></div></div></div><div id="P4092" data-property="P4092" data-statements="[{"mainsnak":{"snaktype":"value","property":"P4092","hash":"440c70ad8af5e54d17df76a6aa97c0aa72b3336e","datavalue":{"value":"a85bb40a017725cd08586a1c770f055653854c0b","type":"string"}},"type":"statement","qualifiers":{"P459":[{"snaktype":"value","property":"P459","hash":"75dff03c151b13fbab93742164121c16a6aa0de1","datavalue":{"value":{"entity-type":"item","numeric-id":13414952,"id":"Q13414952"},"type":"wikibase-entityid"}}]},"qualifiers-order":["P459"],"id":"M3437020$5C199C4D-796D-4351-A341-1410D6B9F4FD","rank":"normal"}]" data-formatvalue="{"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":4092,\"id\":\"P4092\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":"<a target=\"_blank\" title=\"d:Special:EntityPage\/P4092\" href=\"https:\/\/www.wikidata.org\/wiki\/Special:EntityPage\/P4092\">checksum<\/a>"}},"text\/plain":{"en":{"":"checksum"}}},"{\"value\":\"a85bb40a017725cd08586a1c770f055653854c0b\",\"type\":\"string\"}":{"text\/html":{"en":{"P4092":"a85bb40a017725cd08586a1c770f055653854c0b"}},"text\/plain":{"en":{"P4092":"a85bb40a017725cd08586a1c770f055653854c0b"}}},"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":459,\"id\":\"P459\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":"<a target=\"_blank\" title=\"d:Special:EntityPage\/P459\" href=\"https:\/\/www.wikidata.org\/wiki\/Special:EntityPage\/P459\">determination method or standard<\/a>"}},"text\/plain":{"en":{"":"determination method or standard"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":13414952,\"id\":\"Q13414952\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P459":"<a target=\"_blank\" title=\"d:Special:EntityPage\/Q13414952\" href=\"https:\/\/www.wikidata.org\/wiki\/Special:EntityPage\/Q13414952\">SHA-1<\/a>"}},"text\/plain":{"en":{"P459":"SHA-1"}}}}" class="wbmi-entityview-statementsGroup wbmi-entityview-statementsGroup-P4092 oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-framed"><div class="wbmi-statements-widget"><div class="wbmi-statement-header"><div class="wbmi-entity-data"><div class="wbmi-entity-title"><h4 class="wbmi-entity-label"><bdi><a target="_blank" title="d:Special:EntityPage/P4092" href="https://www.wikidata.org/wiki/Special:EntityPage/P4092">checksum</a></bdi></h4></div></div></div><div class="wbmi-content-items-group"><div class="wbmi-item wbmi-item-read"><div data-guid="M3437020$5C199C4D-796D-4351-A341-1410D6B9F4FD" class="wbmi-item-container"><div class="wbmi-entity-header"><div class="wbmi-entity-data"><div class="wbmi-entity-title"><h4 class="wbmi-entity-label"><bdi>a85bb40a017725cd08586a1c770f055653854c0b</bdi></h4></div></div></div><div class="wbmi-item-qualifiers"><div class="wbmi-snaklist-container"><div class="wbmi-snaklist-content"><div class="wbmi-snak"><div class="wbmi-snak-value"><a target="_blank" title="d:Special:EntityPage/P459" href="https://www.wikidata.org/wiki/Special:EntityPage/P459">determination method or standard</a><span class="wbmi-snak-value-separator">: </span><span class="wbmi-snak-value--value"><a target="_blank" title="d:Special:EntityPage/Q13414952" href="https://www.wikidata.org/wiki/Special:EntityPage/Q13414952">SHA-1</a></span></div></div></div></div></div></div></div></div></div></div></mediainfoviewstatements></mediainfoview>    </div></div> <h2 id="filehistory">File history</h2> <div id="mw-imagepage-section-filehistory"> <p>Click on a date/time to view the file as it appeared at that time. </p> <table class="wikitable filehistory"> <tr><th></th><th>Date/Time</th><th>Thumbnail</th><th>Dimensions</th><th>User</th><th>Comment</th></tr> <tr><td>current</td><td class="filehistory-selected" style="white-space: nowrap;"><a href="//upload.wikimedia.org/wikipedia/commons/9/99/Venn0001.svg">22:17, 28 September 2024</a></td><td><a href="//upload.wikimedia.org/wikipedia/commons/9/99/Venn0001.svg"><img alt="Thumbnail for version as of 22:17, 28 September 2024" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Venn0001.svg/120px-Venn0001.svg.png" decoding="async" loading="lazy" width="120" height="88" data-file-width="410" data-file-height="299" /></a></td><td>410 × 299 <span style="white-space: nowrap;">(3 KB)</span></td><td><a href="/wiki/User:Watchduck" class="mw-userlink" title="User: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/9/99/20240928221725%21Venn0001.svg">15:10, 16 July 2024</a></td><td><a href="//upload.wikimedia.org/wikipedia/commons/archive/9/99/20240928221725%21Venn0001.svg"><img alt="Thumbnail for version as of 15:10, 16 July 2024" src="//upload.wikimedia.org/wikipedia/commons/thumb/archive/9/99/20240928221725%21Venn0001.svg/120px-Venn0001.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;">(613 bytes)</span></td><td><a href="/wiki/User:Antonsusi" class="mw-userlink" title="User: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/9/99/20240716151012%21Venn0001.svg">23:14, 1 March 2024</a></td><td><a href="//upload.wikimedia.org/wikipedia/commons/archive/9/99/20240716151012%21Venn0001.svg"><img alt="Thumbnail for version as of 23:14, 1 March 2024" src="//upload.wikimedia.org/wikipedia/commons/thumb/archive/9/99/20240716151012%21Venn0001.svg/120px-Venn0001.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 KB)</span></td><td><a href="/wiki/User:Watchduck" class="mw-userlink" title="User:Watchduck"><bdi>Watchduck</bdi></a></td><td dir="ltr">cleaner code and lighter red (overwritten with <a href="/wiki/Pywikibot" class="mw-redirect" title="Pywikibot">Pywikibot</a>)</td></tr> <tr><td></td><td style="white-space: nowrap;"><a href="//upload.wikimedia.org/wikipedia/commons/archive/9/99/20240301231449%21Venn0001.svg">14:06, 26 July 2009</a></td><td><a href="//upload.wikimedia.org/wikipedia/commons/archive/9/99/20240301231449%21Venn0001.svg"><img alt="Thumbnail for version as of 14:06, 26 July 2009" src="//upload.wikimedia.org/wikipedia/commons/thumb/archive/9/99/20240301231449%21Venn0001.svg/120px-Venn0001.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 KB)</span></td><td><a href="/wiki/User:Watchduck" class="mw-userlink" title="User: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/9/99/20090726140637%21Venn0001.svg">14:05, 26 July 2009</a></td><td><a href="//upload.wikimedia.org/wikipedia/commons/archive/9/99/20090726140637%21Venn0001.svg"><img alt="Thumbnail for version as of 14:05, 26 July 2009" src="//upload.wikimedia.org/wikipedia/commons/thumb/archive/9/99/20090726140637%21Venn0001.svg/120px-Venn0001.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 KB)</span></td><td><a href="/wiki/User:Watchduck" class="mw-userlink" title="User: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/9/99/20090726140546%21Venn0001.svg">13:24, 26 January 2008</a></td><td><a href="//upload.wikimedia.org/wikipedia/commons/archive/9/99/20090726140546%21Venn0001.svg"><img alt="Thumbnail for version as of 13:24, 26 January 2008" src="//upload.wikimedia.org/wikipedia/commons/thumb/archive/9/99/20090726140546%21Venn0001.svg/120px-Venn0001.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 KB)</span></td><td><a href="/wiki/User:Watchduck" class="mw-userlink" title="User:Watchduck"><bdi>Watchduck</bdi></a></td><td dir="ltr">{{Information |Description= |Source=eigene arbeit |Date= |Author= <a href="/wiki/User:Tilman_Piesk" class="mw-redirect" title="User:Tilman Piesk">Tilman Piesk</a> |Permission= |other_versions= }} </td></tr> <tr><td></td><td style="white-space: nowrap;"><a href="//upload.wikimedia.org/wikipedia/commons/archive/9/99/20080126132407%21Venn0001.svg">15:57, 22 January 2008</a></td><td><a href="//upload.wikimedia.org/wikipedia/commons/archive/9/99/20080126132407%21Venn0001.svg"><img alt="Thumbnail for version as of 15:57, 22 January 2008" src="//upload.wikimedia.org/wikipedia/commons/thumb/archive/9/99/20080126132407%21Venn0001.svg/120px-Venn0001.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 KB)</span></td><td><a href="/wiki/User:Watchduck" class="mw-userlink" title="User: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> <tr><td></td><td style="white-space: nowrap;"><a href="//upload.wikimedia.org/wikipedia/commons/archive/9/99/20080122155736%21Venn0001.svg">14:26, 22 January 2008</a></td><td><a href="//upload.wikimedia.org/wikipedia/commons/archive/9/99/20080122155736%21Venn0001.svg"><img alt="Thumbnail for version as of 14:26, 22 January 2008" src="//upload.wikimedia.org/wikipedia/commons/thumb/archive/9/99/20080122155736%21Venn0001.svg/120px-Venn0001.svg.png" decoding="async" loading="lazy" width="120" height="90" data-file-width="480" data-file-height="360" /></a></td><td>480 × 360 <span style="white-space: nowrap;">(3 KB)</span></td><td><a href="/wiki/User:Watchduck" class="mw-userlink" title="User:Watchduck"><bdi>Watchduck</bdi></a></td><td dir="ltr">{{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }} </td></tr> </table> </div> <h2 id="filelinks">File usage</h2> <div id='mw-imagepage-section-linkstoimage'> <p>The following 32 pages use this file: </p><ul class="mw-imagepage-linkstoimage"> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Exclusive_or" title="Exclusive or">Exclusive or</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/If_and_only_if" title="If and only if">If and only if</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Intersection" title="Intersection">Intersection</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Intersection_(set_theory)" title="Intersection (set theory)">Intersection (set theory)</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Logical_NOR" title="Logical NOR">Logical NOR</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Logical_biconditional" title="Logical biconditional">Logical biconditional</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Logical_conjunction" title="Logical conjunction">Logical conjunction</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Logical_connective" title="Logical connective">Logical connective</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Set_(mathematics)" title="Set (mathematics)">Set (mathematics)</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Sheffer_stroke" title="Sheffer stroke">Sheffer stroke</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Symmetric_difference" title="Symmetric difference">Symmetric difference</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Truth_function" title="Truth function">Truth function</a></li> <li class="mw-imagepage-linkstoimage-ns0"><a href="/wiki/Venn_diagram" title="Venn diagram">Venn diagram</a></li> <li class="mw-imagepage-linkstoimage-ns1"><a href="/wiki/Talk:2" title="Talk:2">Talk:2</a></li> <li class="mw-imagepage-linkstoimage-ns1"><a href="/wiki/Talk:Baltic_states/Archive_2" title="Talk:Baltic states/Archive 2">Talk:Baltic states/Archive 2</a></li> <li class="mw-imagepage-linkstoimage-ns1"><a href="/wiki/Talk:Russo-Georgian_War/Archive_20" title="Talk:Russo-Georgian War/Archive 20">Talk:Russo-Georgian War/Archive 20</a></li> <li class="mw-imagepage-linkstoimage-ns1"><a href="/wiki/Talk:Set_(mathematics)/Archive_2" title="Talk:Set (mathematics)/Archive 2">Talk:Set (mathematics)/Archive 2</a></li> <li class="mw-imagepage-linkstoimage-ns1"><a href="/wiki/Talk:Singular_they/Archive_6" title="Talk:Singular they/Archive 6">Talk:Singular they/Archive 6</a></li> <li class="mw-imagepage-linkstoimage-ns1"><a href="/wiki/Talk:Transsexual/Archive_11" title="Talk:Transsexual/Archive 11">Talk:Transsexual/Archive 11</a></li> <li class="mw-imagepage-linkstoimage-ns2"><a href="/wiki/User:Anti-Quasar/sandbox" title="User:Anti-Quasar/sandbox">User:Anti-Quasar/sandbox</a></li> <li class="mw-imagepage-linkstoimage-ns2"><a href="/wiki/User:Matt_Fitzpatrick/portal_images" title="User:Matt Fitzpatrick/portal images">User:Matt Fitzpatrick/portal images</a></li> <li class="mw-imagepage-linkstoimage-ns2"><a href="/wiki/User:Sedentarycephalopod/sandbox" title="User:Sedentarycephalopod/sandbox">User:Sedentarycephalopod/sandbox</a></li> <li class="mw-imagepage-linkstoimage-ns3"><a href="/wiki/User_talk:Spasage" title="User talk:Spasage">User talk:Spasage</a></li> <li class="mw-imagepage-linkstoimage-ns3"><a href="/wiki/User_talk:YBG/Archive_6" title="User talk:YBG/Archive 6">User talk:YBG/Archive 6</a></li> <li class="mw-imagepage-linkstoimage-ns4"><a href="/wiki/Wikipedia:Categories_for_discussion/User/Archive/March_2008" title="Wikipedia:Categories for discussion/User/Archive/March 2008">Wikipedia:Categories for discussion/User/Archive/March 2008</a></li> <li class="mw-imagepage-linkstoimage-ns4"><a href="/wiki/Wikipedia:Village_pump_(technical)/Archive_45" title="Wikipedia:Village pump (technical)/Archive 45">Wikipedia:Village pump (technical)/Archive 45</a></li> <li class="mw-imagepage-linkstoimage-ns4"><a href="/wiki/Wikipedia:Wikipedia_for_Schools/Welcome/Mathematics" title="Wikipedia:Wikipedia for Schools/Welcome/Mathematics">Wikipedia:Wikipedia for Schools/Welcome/Mathematics</a></li> <li class="mw-imagepage-linkstoimage-ns5"><a href="/wiki/Wikipedia_talk:WikiProject_Women_in_Red/Archive_9" title="Wikipedia talk:WikiProject Women in Red/Archive 9">Wikipedia talk:WikiProject Women in Red/Archive 9</a></li> <li class="mw-imagepage-linkstoimage-ns10"><a href="/wiki/Template:Infobox_logical_connective" title="Template:Infobox logical connective">Template:Infobox logical connective</a></li> <li class="mw-imagepage-linkstoimage-ns10"><a href="/wiki/Template:Infobox_logical_connective/doc" title="Template:Infobox logical connective/doc">Template:Infobox logical connective/doc</a></li> <li class="mw-imagepage-linkstoimage-ns14"><a href="/wiki/Category:Sexuality_by_region" title="Category:Sexuality by region">Category:Sexuality by region</a></li> <li class="mw-imagepage-linkstoimage-ns14"><a href="/wiki/Category:Wikipedians_by_interest_in_a_region" title="Category:Wikipedians by interest in a region">Category:Wikipedians by interest in a region</a></li> </ul> </div> <h2 id="globalusage">Global file usage</h2> <div id="mw-imagepage-section-globalusage"><p>The following other wikis use this file: </p><ul> <li class='mw-gu-onwiki-als_wikipedia_org'>Usage on als.wikipedia.org <ul> <li><a class="external" href="https://als.wikipedia.org/wiki/Menge_(Mathematik)">Menge (Mathematik)</a></li> <li><a class="external" href="https://als.wikipedia.org/wiki/Mengenlehre">Mengenlehre</a></li> </ul></li> <li class='mw-gu-onwiki-am_wikipedia_org'>Usage on am.wikipedia.org <ul> <li><a class="external" href="https://am.wikipedia.org/wiki/%E1%88%B5%E1%89%A5%E1%88%B5%E1%89%A5">ስብስብ</a></li> <li><a class="external" href="https://am.wikipedia.org/wiki/%E1%8B%A8%E1%8C%8B%E1%88%AB_%E1%88%B5%E1%89%A5%E1%88%B5%E1%89%A5">የጋራ ስብስብ</a></li> </ul></li> <li class='mw-gu-onwiki-anp_wikipedia_org'>Usage on anp.wikipedia.org <ul> <li><a class="external" href="https://anp.wikipedia.org/wiki/%E0%A4%B8%E0%A4%AE%E0%A5%81%E0%A4%9A%E0%A5%8D%E0%A4%9A%E0%A4%AF_%E0%A4%B8%E0%A4%BF%E0%A4%A6%E0%A5%8D%E0%A4%A7%E0%A4%BE%E0%A4%A8%E0%A5%8D%E0%A4%A4">समुच्चय सिद्धान्त</a></li> </ul></li> <li class='mw-gu-onwiki-ar_wikipedia_org'>Usage on 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_(%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A7%D8%AA)">مجموعة (رياضيات)</a></li> <li><a class="external" href="https://ar.wikipedia.org/wiki/%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">نظرية المجموعات</a></li> <li><a class="external" href="https://ar.wikipedia.org/wiki/%D8%AA%D9%82%D8%A7%D8%B7%D8%B9_(%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)">تقاطع (نظرية المجموعات)</a></li> <li><a class="external" href="https://ar.wikipedia.org/wiki/%D9%85%D8%B3%D8%AA%D8%AE%D8%AF%D9%85:Hezzam_A/%D9%85%D9%84%D8%B9%D8%A8">مستخدم:Hezzam A/ملعب</a></li> <li><a class="external" href="https://ar.wikipedia.org/wiki/%D9%88%D9%8A%D9%83%D9%8A%D8%A8%D9%8A%D8%AF%D9%8A%D8%A7:%D9%88%D9%8A%D9%83%D9%8A%D8%A8%D9%8A%D8%AF%D9%8A%D8%A7_%D9%84%D9%84%D9%85%D8%AF%D8%A7%D8%B1%D8%B3/%D9%85%D8%B1%D8%AD%D8%A8%D8%A7/%D8%A7%D9%84%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A7%D8%AA">ويكيبيديا:ويكيبيديا للمدارس/مرحبا/الرياضيات</a></li> </ul></li> <li class='mw-gu-onwiki-ast_wikipedia_org'>Usage on ast.wikipedia.org <ul> <li><a class="external" href="https://ast.wikipedia.org/wiki/Interseici%C3%B3n_de_conxuntos">Interseición de conxuntos</a></li> </ul></li> <li class='mw-gu-onwiki-az_wikipedia_org'>Usage on az.wikipedia.org <ul> <li><a class="external" href="https://az.wikipedia.org/wiki/%C3%87oxluqlar_n%C9%99z%C9%99riyy%C9%99si">Çoxluqlar nəzəriyyəsi</a></li> </ul></li> <li class='mw-gu-onwiki-bar_wikipedia_org'>Usage on bar.wikipedia.org <ul> <li><a class="external" href="https://bar.wikipedia.org/wiki/Grundlogn_vo_da_Mathematik">Grundlogn vo da Mathematik</a></li> </ul></li> <li class='mw-gu-onwiki-ba_wikipedia_org'>Usage on ba.wikipedia.org <ul> <li><a class="external" href="https://ba.wikipedia.org/wiki/%D0%9A%D2%AF%D0%BC%D3%99%D0%BA%D0%BB%D0%B5%D0%BA">Күмәклек</a></li> </ul></li> <li class='mw-gu-onwiki-be-tarask_wikipedia_org'>Usage on be-tarask.wikipedia.org <ul> <li><a class="external" href="https://be-tarask.wikipedia.org/wiki/%D0%9C%D0%BD%D0%BE%D1%81%D1%82%D0%B2%D0%B0">Мноства</a></li> </ul></li> <li class='mw-gu-onwiki-be_wikipedia_org'>Usage on be.wikipedia.org <ul> <li><a class="external" href="https://be.wikipedia.org/wiki/%D0%9C%D0%BD%D0%BE%D1%81%D1%82%D0%B2%D0%B0">Мноства</a></li> </ul></li> <li class='mw-gu-onwiki-bg_wikipedia_org'>Usage on bg.wikipedia.org <ul> <li><a class="external" href="https://bg.wikipedia.org/wiki/%D0%9C%D0%BD%D0%BE%D0%B6%D0%B5%D1%81%D1%82%D0%B2%D0%BE">Множество</a></li> <li><a class="external" href="https://bg.wikipedia.org/wiki/%D0%9A%D0%BE%D0%BD%D1%8E%D0%BD%D0%BA%D1%86%D0%B8%D1%8F">Конюнкция</a></li> <li><a class="external" href="https://bg.wikipedia.org/wiki/%D0%A1%D0%B5%D1%87%D0%B5%D0%BD%D0%B8%D0%B5_(%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%8F_%D0%BD%D0%B0_%D0%BC%D0%BD%D0%BE%D0%B6%D0%B5%D1%81%D1%82%D0%B2%D0%B0%D1%82%D0%B0)">Сечение (теория на множествата)</a></li> </ul></li> <li class='mw-gu-onwiki-bn_wikipedia_org'>Usage on bn.wikipedia.org <ul> <li><a class="external" href="https://bn.wikipedia.org/wiki/%E0%A6%B8%E0%A7%87%E0%A6%9F">সেট</a></li> <li><a class="external" href="https://bn.wikipedia.org/wiki/%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%AC%E0%A7%87%E0%A6%B6%E0%A6%A6%E0%A7%8D%E0%A6%AC%E0%A6%BE%E0%A6%B0:%E0%A6%97%E0%A6%A3%E0%A6%BF%E0%A6%A4/%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%AC%E0%A7%87%E0%A6%B6%E0%A6%A6%E0%A7%8D%E0%A6%AC%E0%A6%BE%E0%A6%B0">প্রবেশদ্বার:গণিত/প্রবেশদ্বার</a></li> <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'>Usage on ca.wikipedia.org <ul> <li><a class="external" href="https://ca.wikipedia.org/wiki/Conjunt">Conjunt</a></li> <li><a class="external" href="https://ca.wikipedia.org/wiki/Diagrama_de_Venn">Diagrama de Venn</a></li> <li><a class="external" href="https://ca.wikipedia.org/wiki/C%C3%A0lcul_l%C3%B2gic">Càlcul lògic</a></li> <li><a class="external" href="https://ca.wikipedia.org/wiki/Difer%C3%A8ncia_sim%C3%A8trica">Diferència simètrica</a></li> <li><a class="external" href="https://ca.wikipedia.org/wiki/Disjunci%C3%B3_exclusiva">Disjunció exclusiva</a></li> </ul></li> <li class='mw-gu-onwiki-ckb_wikipedia_org'>Usage on ckb.wikipedia.org <ul> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%DA%A9%DB%86%D9%85%DB%95%DA%B5%DB%95_(%D9%85%D8%A7%D8%AA%D9%85%D8%A7%D8%AA%DB%8C%DA%A9)">کۆمەڵە (ماتماتیک)</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%DA%98%DB%8E%D8%B1%DA%A9%DB%86%D9%85%DB%95%DA%B5">ژێرکۆمەڵ</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%D8%A6%DB%95%D9%86%D8%AF%D8%A7%D9%85_(%D8%A8%DB%8C%D8%B1%DA%A9%D8%A7%D8%B1%DB%8C)">ئەندام (بیرکاری)</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%DA%A9%DB%86%D9%85%DB%95%DA%B5%DB%95%DB%8C_%D8%A8%DB%95%D8%AA%D8%A7%DA%B5">کۆمەڵەی بەتاڵ</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%DA%AF%DB%8C%DB%86%D8%B1%DA%AF_%DA%A9%D8%A7%D9%86%D8%AA%DB%86%D8%B1">گیۆرگ کانتۆر</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%DA%A9%DB%86%D9%85%DB%95%DA%B5%DB%95%DB%8C_%D8%A8%DB%8E%DA%A9%DB%86%D8%AA%D8%A7%DB%8C%DB%8C">کۆمەڵەی بێکۆتایی</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%DA%A9%DB%86%D9%85%DB%95%DA%B5%DB%95%DB%8C_%D8%A8%DB%95%DA%A9%DB%86%D8%AA%D8%A7%DB%8C%DB%8C">کۆمەڵەی بەکۆتایی</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95:%D9%85%D8%A7%D8%AA%D9%85%D8%A7%D8%AA%DB%8C%DA%A9">دەروازە:ماتماتیک</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%D9%81%D8%A7%D9%86%DA%A9%D8%B4%D9%86_(%D9%85%D8%A7%D8%AA%D9%85%D8%A7%D8%AA%DB%8C%DA%A9)">فانکشن (ماتماتیک)</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%D9%85%DB%86%D8%AF%DB%8C%D9%88%D9%88%D9%84:Portal/images/%D8%AA">مۆدیوول:Portal/images/ت</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95:%D9%85%D8%A7%D8%AA%D9%85%D8%A7%D8%AA%DB%8C%DA%A9/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95_%D9%BE%DB%95%DB%8C%D9%88%DB%95%D9%86%D8%AF%DB%8C%D8%AF%D8%A7%D8%B1%DB%95%DA%A9%D8%A7%D9%86">دەروازە:ماتماتیک/دەروازە پەیوەندیدارەکان</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%D9%BE%DB%86%D9%84:%D8%AA%DB%8C%DB%86%D8%B1%DB%8C%DB%8C_%DA%A9%DB%86%D9%85%DB%95%DA%B5%DB%95">پۆل:تیۆریی کۆمەڵە</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%D8%A8%D9%88%D8%A7%D8%B1%DB%8C_%D8%A8%DB%95%D8%B1%D8%A7%D9%85%D8%A8%DB%95%D8%B1">بواری بەرامبەر</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95:%D8%A6%DB%95%D9%86%D8%AF%D8%A7%D8%B2%DB%95">دەروازە:ئەندازە</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95:%D8%A6%DB%95%D9%86%D8%AF%D8%A7%D8%B2%DB%95/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95_%D9%BE%DB%95%DB%8C%D9%88%DB%95%D9%86%D8%AF%DB%8C%D8%AF%D8%A7%D8%B1%DB%95%DA%A9%D8%A7%D9%86">دەروازە:ئەندازە/دەروازە پەیوەندیدارەکان</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95:%D8%AC%DB%95%D8%A8%D8%B1">دەروازە:جەبر</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95:%D8%AC%DB%95%D8%A8%D8%B1/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95_%D9%BE%DB%95%DB%8C%D9%88%DB%95%D9%86%D8%AF%DB%8C%D8%AF%D8%A7%D8%B1%DB%95%DA%A9%D8%A7%D9%86">دەروازە:جەبر/دەروازە پەیوەندیدارەکان</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95:%D8%A6%D8%A7%D9%85%D8%A7%D8%B1">دەروازە:ئامار</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95:%D8%A6%D8%A7%D9%85%D8%A7%D8%B1/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95_%D9%BE%DB%95%DB%8C%D9%88%DB%95%D9%86%D8%AF%DB%8C%D8%AF%D8%A7%D8%B1%DB%95%DA%A9%D8%A7%D9%86">دەروازە:ئامار/دەروازە پەیوەندیدارەکان</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95:%D8%B4%DB%8C%DA%A9%D8%A7%D8%B1%DB%8C%DB%8C_%D9%85%D8%A7%D8%AA%D9%85%D8%A7%D8%AA%DB%8C%DA%A9%DB%8C">دەروازە:شیکاریی ماتماتیکی</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95:%D8%B4%DB%8C%DA%A9%D8%A7%D8%B1%DB%8C%DB%8C_%D9%85%D8%A7%D8%AA%D9%85%D8%A7%D8%AA%DB%8C%DA%A9%DB%8C/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95_%D9%BE%DB%95%DB%8C%D9%88%DB%95%D9%86%D8%AF%DB%8C%D8%AF%D8%A7%D8%B1%DB%95%DA%A9%D8%A7%D9%86">دەروازە:شیکاریی ماتماتیکی/دەروازە پەیوەندیدارەکان</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%DA%A9%DB%86%D9%85%DB%95%DA%B5%DB%95%DB%8C_%DA%A9%D8%A7%D9%86%D8%AA%DB%86%D8%B1">کۆمەڵەی کانتۆر</a></li> <li><a class="external" href="https://ckb.wikipedia.org/wiki/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95:%D8%AA%DB%8C%DB%86%D8%B1%DB%8C%DB%8C_%DA%98%D9%85%D8%A7%D8%B1%DB%95%DA%A9%D8%A7%D9%86">دەروازە:تیۆریی ژمارەکان</a></li> </ul></li> </ul> <p>View <a href="/wiki/Special:GlobalUsage/Venn0001.svg" title="Special:GlobalUsage/Venn0001.svg">more global usage</a> of this file. </p></div><h2 id="metadata">Metadata</h2> <div class="mw-content-ltr mw-imagepage-section-metadata" lang="en" dir="ltr"><p>This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. </p><p> If the file has been modified from its original state, some details may not fully reflect the modified file.</p><table id="mw_metadata" class="mw_metadata collapsed"> <tbody><tr class="exif-imagewidth mw-metadata-collapsible"><th>Width</th><td>307.28000pt</td></tr><tr class="exif-imagelength mw-metadata-collapsible"><th>Height</th><td>223.89000pt</td></tr></tbody></table> </div><noscript><img src="https://login.m.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&mobile=1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Retrieved from "<a dir="ltr" href="https://en.wikipedia.org/wiki/File:Venn0001.svg">https://en.wikipedia.org/wiki/File:Venn0001.svg</a>"</div></div> </div> <div class="post-content" id="page-secondary-actions"> </div> </main> <footer class="mw-footer minerva-footer" role="contentinfo"> <div class="post-content footer-content"> <div id="p-lang"> <h4>Languages</h4> <section> <ul id="p-variants" class="minerva-languages"></ul> <ul class="minerva-languages"></ul> <p>This page is not available in other languages.</p> </section> </div> <div class="minerva-footer-logo"><img src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" alt="Wikipedia" width="120" height="18" style="width: 7.5em; height: 1.125em;"/> </div> <ul id="footer-info" class="footer-info hlist hlist-separated"> </ul> <ul id="footer-places" class="footer-places hlist hlist-separated"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy">Privacy policy</a></li> <li id="footer-places-about"><a href="/wiki/Wikipedia:About">About Wikipedia</a></li> <li id="footer-places-disclaimers"><a href="/wiki/Wikipedia:General_disclaimer">Disclaimers</a></li> <li id="footer-places-contact"><a href="//en.wikipedia.org/wiki/Wikipedia:Contact_us">Contact Wikipedia</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">Code of Conduct</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">Developers</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/en.wikipedia.org">Statistics</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">Cookie statement</a></li> <li id="footer-places-terms-use"><a href="https://foundation.m.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use">Terms of Use</a></li> <li id="footer-places-desktop-toggle"><a id="mw-mf-display-toggle" href="//en.wikipedia.org/w/index.php?title=File:Venn0001.svg&mobileaction=toggle_view_desktop" data-event-name="switch_to_desktop">Desktop</a></li> </ul> </div> </footer> </div> </div> <div class="mw-notification-area" data-mw="interface"></div>  <script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-5c9b544f44-ng4kh","wgBackendResponseTime":331,"wgPageParseReport":{"limitreport":{"cputime":"0.001","walltime":"0.001","ppvisitednodes":{"value":3,"limit":1000000},"postexpandincludesize":{"value":0,"limit":2097152},"templateargumentsize":{"value":0,"limit":2097152},"expansiondepth":{"value":1,"limit":100},"expensivefunctioncount":{"value":0,"limit":500},"unstrip-depth":{"value":0,"limit":20},"unstrip-size":{"value":0,"limit":5000000},"entityaccesscount":{"value":0,"limit":400},"timingprofile":["100.00% 0.000 1 -total"]},"cachereport":{"origin":"mw-web.codfw.main-5c9b544f44-ng4kh","timestamp":"20241127091903","ttl":2592000,"transientcontent":false}}});});</script> <script>(window.NORLQ=window.NORLQ||[]).push(function(){var ns,i,p,img;ns=document.getElementsByTagName('noscript');for(i=0;i<ns.length;i++){p=ns[i].nextSibling;if(p&&p.className&&p.className.indexOf('lazy-image-placeholder')>-1){img=document.createElement('img');img.setAttribute('src',p.getAttribute('data-src'));img.setAttribute('width',p.getAttribute('data-width'));img.setAttribute('height',p.getAttribute('data-height'));img.setAttribute('alt',p.getAttribute('data-alt'));p.parentNode.replaceChild(img,p);}}});</script> </body> </html>