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vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Vsebina</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">prestavi v stransko letvico</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">skrij</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Uvod</div> </a> </li> <li id="toc-Zgradba_izreka" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zgradba_izreka"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Zgradba izreka</span> </div> </a> <ul id="toc-Zgradba_izreka-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zgledi_izrekov_v_matematiki" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zgledi_izrekov_v_matematiki"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Zgledi izrekov v matematiki</span> </div> </a> <ul id="toc-Zgledi_izrekov_v_matematiki-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Izreki_v_drugih_vedah_in_področjih" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Izreki_v_drugih_vedah_in_področjih"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Izreki v drugih vedah in področjih</span> </div> </a> <ul id="toc-Izreki_v_drugih_vedah_in_področjih-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Glej_tudi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Glej_tudi"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Glej tudi</span> </div> </a> <button aria-controls="toc-Glej_tudi-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Vklopi podrazdelek Glej tudi</span> </button> <ul id="toc-Glej_tudi-sublist" class="vector-toc-list"> <li id="toc-Matematika" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Matematika"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Matematika</span> </div> </a> <ul id="toc-Matematika-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Jeziki" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Jeziki"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>Jeziki</span> </div> </a> <ul id="toc-Jeziki-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Vsebina" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Kazalo vsebine" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Vklopi kazalo vsebine" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Vklopi kazalo vsebine</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Izrek</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="P9jdi na članek v drugem jeziku. Na voljo v 90 jezikih." > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-90" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">90 jezikov</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%8A%A5%E1%88%AD%E1%8C%8D%E1%8C%A5" title="እርግጥ – amharščina" lang="am" hreflang="am" data-title="እርግጥ" data-language-autonym="አማርኛ" data-language-local-name="amharščina" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D8%A8%D8%B1%D9%87%D9%86%D8%A9" title="مبرهنة – arabščina" lang="ar" hreflang="ar" data-title="مبرهنة" data-language-autonym="العربية" data-language-local-name="arabščina" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%89%E0%A6%AA%E0%A6%AA%E0%A6%BE%E0%A6%A6%E0%A7%8D%E0%A6%AF" title="উপপাদ্য – asamščina" lang="as" hreflang="as" data-title="উপপাদ্য" data-language-autonym="অসমীয়া" data-language-local-name="asamščina" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Teorema" title="Teorema – asturijščina" lang="ast" hreflang="ast" data-title="Teorema" data-language-autonym="Asturianu" data-language-local-name="asturijščina" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Teorem" title="Teorem – azerbajdžanščina" lang="az" hreflang="az" data-title="Teorem" data-language-autonym="Azərbaycanca" data-language-local-name="azerbajdžanščina" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0" title="Теорема – baškirščina" lang="ba" hreflang="ba" data-title="Теорема" data-language-autonym="Башҡортса" data-language-local-name="baškirščina" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A2%D1%8D%D0%B0%D1%80%D1%8D%D0%BC%D0%B0" title="Тэарэма – beloruščina" lang="be" hreflang="be" data-title="Тэарэма" data-language-autonym="Беларуская" data-language-local-name="beloruščina" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%A2%D1%8D%D0%B0%D1%80%D1%8D%D0%BC%D0%B0" title="Тэарэма – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Тэарэма" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0" title="Теорема – bolgarščina" lang="bg" hreflang="bg" data-title="Теорема" data-language-autonym="Български" data-language-local-name="bolgarščina" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%89%E0%A6%AA%E0%A6%AA%E0%A6%BE%E0%A6%A6%E0%A7%8D%E0%A6%AF" title="উপপাদ্য – bengalščina" lang="bn" hreflang="bn" data-title="উপপাদ্য" data-language-autonym="বাংলা" data-language-local-name="bengalščina" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Teorema" title="Teorema – bosanščina" lang="bs" hreflang="bs" data-title="Teorema" data-language-autonym="Bosanski" data-language-local-name="bosanščina" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Teorema" title="Teorema – katalonščina" lang="ca" hreflang="ca" data-title="Teorema" data-language-autonym="Català" data-language-local-name="katalonščina" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%AA%DB%8C%DB%86%D8%B1%D9%85" title="تیۆرم – osrednja kurdščina" lang="ckb" hreflang="ckb" data-title="تیۆرم" data-language-autonym="کوردی" data-language-local-name="osrednja kurdščina" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Matematick%C3%A1_v%C4%9Bta" title="Matematická věta – češčina" lang="cs" hreflang="cs" data-title="Matematická věta" data-language-autonym="Čeština" data-language-local-name="češčina" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0" title="Теорема – čuvaščina" lang="cv" hreflang="cv" data-title="Теорема" data-language-autonym="Чӑвашла" data-language-local-name="čuvaščina" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Theorem" title="Theorem – valižanščina" lang="cy" hreflang="cy" data-title="Theorem" data-language-autonym="Cymraeg" data-language-local-name="valižanščina" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/S%C3%A6tning_(matematik)" title="Sætning (matematik) – danščina" lang="da" hreflang="da" data-title="Sætning (matematik)" data-language-autonym="Dansk" data-language-local-name="danščina" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Satz_(Mathematik)" title="Satz (Mathematik) – nemščina" lang="de" hreflang="de" data-title="Satz (Mathematik)" data-language-autonym="Deutsch" data-language-local-name="nemščina" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%98%CE%B5%CF%8E%CF%81%CE%B7%CE%BC%CE%B1" title="Θεώρημα – grščina" lang="el" hreflang="el" data-title="Θεώρημα" data-language-autonym="Ελληνικά" data-language-local-name="grščina" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Theorem" title="Theorem – angleščina" lang="en" hreflang="en" data-title="Theorem" data-language-autonym="English" data-language-local-name="angleščina" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Teoremo" title="Teoremo – esperanto" lang="eo" hreflang="eo" data-title="Teoremo" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Teorema" title="Teorema – španščina" lang="es" hreflang="es" data-title="Teorema" data-language-autonym="Español" data-language-local-name="španščina" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Teoreem" title="Teoreem – estonščina" lang="et" hreflang="et" data-title="Teoreem" data-language-autonym="Eesti" data-language-local-name="estonščina" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Teorema" title="Teorema – baskovščina" lang="eu" hreflang="eu" data-title="Teorema" data-language-autonym="Euskara" data-language-local-name="baskovščina" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%82%D8%B6%DB%8C%D9%87" title="قضیه – perzijščina" lang="fa" hreflang="fa" data-title="قضیه" data-language-autonym="فارسی" data-language-local-name="perzijščina" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Lause_(matematiikka)" title="Lause (matematiikka) – finščina" lang="fi" hreflang="fi" data-title="Lause (matematiikka)" data-language-autonym="Suomi" data-language-local-name="finščina" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Th%C3%A9or%C3%A8me" title="Théorème – francoščina" lang="fr" hreflang="fr" data-title="Théorème" data-language-autonym="Français" data-language-local-name="francoščina" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Teoirim" title="Teoirim – irščina" lang="ga" hreflang="ga" data-title="Teoirim" data-language-autonym="Gaeilge" data-language-local-name="irščina" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gd mw-list-item"><a href="https://gd.wikipedia.org/wiki/Te%C3%B2irim" title="Teòirim – škotska gelščina" lang="gd" hreflang="gd" data-title="Teòirim" data-language-autonym="Gàidhlig" data-language-local-name="škotska gelščina" class="interlanguage-link-target"><span>Gàidhlig</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Teorema" title="Teorema – galicijščina" lang="gl" hreflang="gl" data-title="Teorema" data-language-autonym="Galego" data-language-local-name="galicijščina" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A9%D7%A4%D7%98_(%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94)" title="משפט (מתמטיקה) – hebrejščina" lang="he" hreflang="he" data-title="משפט (מתמטיקה)" data-language-autonym="עברית" data-language-local-name="hebrejščina" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%AE%E0%A5%87%E0%A4%AF" title="प्रमेय – hindijščina" lang="hi" hreflang="hi" data-title="प्रमेय" data-language-autonym="हिन्दी" data-language-local-name="hindijščina" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Pou%C4%8Dak" title="Poučak – hrvaščina" lang="hr" hreflang="hr" data-title="Poučak" data-language-autonym="Hrvatski" data-language-local-name="hrvaščina" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/T%C3%A9tel" title="Tétel – madžarščina" lang="hu" hreflang="hu" data-title="Tétel" data-language-autonym="Magyar" data-language-local-name="madžarščina" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B9%D5%A5%D5%B8%D6%80%D5%A5%D5%B4" title="Թեորեմ – armenščina" lang="hy" hreflang="hy" data-title="Թեորեմ" data-language-autonym="Հայերեն" data-language-local-name="armenščina" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Theorema" title="Theorema – interlingva" lang="ia" hreflang="ia" data-title="Theorema" data-language-autonym="Interlingua" data-language-local-name="interlingva" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Teorema" title="Teorema – indonezijščina" lang="id" hreflang="id" data-title="Teorema" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonezijščina" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Teoremo" title="Teoremo – ido" lang="io" hreflang="io" data-title="Teoremo" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Setning_(st%C3%A6r%C3%B0fr%C3%A6%C3%B0i)" title="Setning (stærðfræði) – islandščina" lang="is" hreflang="is" data-title="Setning (stærðfræði)" data-language-autonym="Íslenska" data-language-local-name="islandščina" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Teorema" title="Teorema – italijanščina" lang="it" hreflang="it" data-title="Teorema" data-language-autonym="Italiano" data-language-local-name="italijanščina" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%AE%9A%E7%90%86" title="定理 – japonščina" lang="ja" hreflang="ja" data-title="定理" data-language-autonym="日本語" data-language-local-name="japonščina" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/T%C3%A9or%C3%A9ma" title="Téoréma – javanščina" lang="jv" hreflang="jv" data-title="Téoréma" data-language-autonym="Jawa" data-language-local-name="javanščina" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%97%E1%83%94%E1%83%9D%E1%83%A0%E1%83%94%E1%83%9B%E1%83%90" title="თეორემა – gruzijščina" lang="ka" hreflang="ka" data-title="თეორემა" data-language-autonym="ქართული" data-language-local-name="gruzijščina" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kbd mw-list-item"><a href="https://kbd.wikipedia.org/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D1%8D" title="Теоремэ – kabardinščina" lang="kbd" hreflang="kbd" data-title="Теоремэ" data-language-autonym="Адыгэбзэ" data-language-local-name="kabardinščina" class="interlanguage-link-target"><span>Адыгэбзэ</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0" title="Теорема – kazaščina" lang="kk" hreflang="kk" data-title="Теорема" data-language-autonym="Қазақша" data-language-local-name="kazaščina" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%AA%E0%B3%8D%E0%B2%B0%E0%B2%AE%E0%B3%87%E0%B2%AF" title="ಪ್ರಮೇಯ – kanareščina" lang="kn" hreflang="kn" data-title="ಪ್ರಮೇಯ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kanareščina" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%A0%95%EB%A6%AC" title="정리 – korejščina" lang="ko" hreflang="ko" data-title="정리" data-language-autonym="한국어" data-language-local-name="korejščina" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0" title="Теорема – kirgiščina" lang="ky" hreflang="ky" data-title="Теорема" data-language-autonym="Кыргызча" data-language-local-name="kirgiščina" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Theorema" title="Theorema – latinščina" lang="la" hreflang="la" data-title="Theorema" data-language-autonym="Latina" data-language-local-name="latinščina" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Saz_(Mathematik)" title="Saz (Mathematik) – luksemburščina" lang="lb" hreflang="lb" data-title="Saz (Mathematik)" data-language-autonym="Lëtzebuergesch" data-language-local-name="luksemburščina" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Teorema" title="Teorema – litovščina" lang="lt" hreflang="lt" data-title="Teorema" data-language-autonym="Lietuvių" data-language-local-name="litovščina" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Teor%C4%93ma" title="Teorēma – latvijščina" lang="lv" hreflang="lv" data-title="Teorēma" data-language-autonym="Latviešu" data-language-local-name="latvijščina" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0" title="Теорема – makedonščina" lang="mk" hreflang="mk" data-title="Теорема" data-language-autonym="Македонски" data-language-local-name="makedonščina" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC" title="Теорем – mongolščina" lang="mn" hreflang="mn" data-title="Теорем" data-language-autonym="Монгол" data-language-local-name="mongolščina" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%AE%E0%A5%87%E0%A4%AF" title="प्रमेय – maratščina" lang="mr" hreflang="mr" data-title="प्रमेय" data-language-autonym="मराठी" data-language-local-name="maratščina" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Teorem" title="Teorem – malajščina" lang="ms" hreflang="ms" data-title="Teorem" data-language-autonym="Bahasa Melayu" data-language-local-name="malajščina" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Stelling_(wiskunde)" title="Stelling (wiskunde) – nizozemščina" lang="nl" hreflang="nl" data-title="Stelling (wiskunde)" data-language-autonym="Nederlands" data-language-local-name="nizozemščina" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Teorem" title="Teorem – novonorveščina" lang="nn" hreflang="nn" data-title="Teorem" data-language-autonym="Norsk nynorsk" data-language-local-name="novonorveščina" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Teorem" title="Teorem – knjižna norveščina" lang="nb" hreflang="nb" data-title="Teorem" data-language-autonym="Norsk bokmål" data-language-local-name="knjižna norveščina" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Teor%C3%A8ma" title="Teorèma – okcitanščina" lang="oc" hreflang="oc" data-title="Teorèma" data-language-autonym="Occitan" data-language-local-name="okcitanščina" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Akeekkoo" title="Akeekkoo – oromo" lang="om" hreflang="om" data-title="Akeekkoo" data-language-autonym="Oromoo" data-language-local-name="oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%A5%E0%A8%BF%E0%A8%93%E0%A8%B0%E0%A8%AE" title="ਥਿਓਰਮ – pandžabščina" lang="pa" hreflang="pa" data-title="ਥਿਓਰਮ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="pandžabščina" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Twierdzenie" title="Twierdzenie – poljščina" lang="pl" hreflang="pl" data-title="Twierdzenie" data-language-autonym="Polski" data-language-local-name="poljščina" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Teorema" title="Teorema – Piedmontese" lang="pms" hreflang="pms" data-title="Teorema" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Teorema" title="Teorema – portugalščina" lang="pt" hreflang="pt" data-title="Teorema" data-language-autonym="Português" data-language-local-name="portugalščina" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Teorem%C4%83" title="Teoremă – romunščina" lang="ro" hreflang="ro" data-title="Teoremă" data-language-autonym="Română" data-language-local-name="romunščina" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0" title="Теорема – ruščina" lang="ru" hreflang="ru" data-title="Теорема" data-language-autonym="Русский" data-language-local-name="ruščina" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sc mw-list-item"><a href="https://sc.wikipedia.org/wiki/Teorema" title="Teorema – sardinščina" lang="sc" hreflang="sc" data-title="Teorema" data-language-autonym="Sardu" data-language-local-name="sardinščina" class="interlanguage-link-target"><span>Sardu</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Tiurema" title="Tiurema – sicilijanščina" lang="scn" hreflang="scn" data-title="Tiurema" data-language-autonym="Sicilianu" data-language-local-name="sicilijanščina" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Teorem" title="Teorem – srbohrvaščina" lang="sh" hreflang="sh" data-title="Teorem" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="srbohrvaščina" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-shi mw-list-item"><a href="https://shi.wikipedia.org/wiki/Askkud" title="Askkud – tahelitska berberščina" lang="shi" hreflang="shi" data-title="Askkud" data-language-autonym="Taclḥit" data-language-local-name="tahelitska berberščina" class="interlanguage-link-target"><span>Taclḥit</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%B4%E0%B7%8A%E2%80%8D%E0%B6%BB%E0%B6%B8%E0%B7%9A%E0%B6%BA%E0%B6%BA" title="ප්‍රමේයය – sinhalščina" lang="si" hreflang="si" data-title="ප්‍රමේයය" data-language-autonym="සිංහල" data-language-local-name="sinhalščina" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Theorem" title="Theorem – Simple English" lang="en-simple" hreflang="en-simple" data-title="Theorem" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Teor%C3%A9ma" title="Teoréma – slovaščina" lang="sk" hreflang="sk" data-title="Teoréma" data-language-autonym="Slovenčina" data-language-local-name="slovaščina" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Teorema" title="Teorema – albanščina" lang="sq" hreflang="sq" data-title="Teorema" data-language-autonym="Shqip" data-language-local-name="albanščina" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0" title="Теорема – srbščina" lang="sr" hreflang="sr" data-title="Теорема" data-language-autonym="Српски / srpski" data-language-local-name="srbščina" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Teorem" title="Teorem – švedščina" lang="sv" hreflang="sv" data-title="Teorem" data-language-autonym="Svenska" data-language-local-name="švedščina" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%A4%E0%AF%87%E0%AE%B1%E0%AF%8D%E0%AE%B1%E0%AE%AE%E0%AF%8D" title="தேற்றம் – tamilščina" lang="ta" hreflang="ta" data-title="தேற்றம்" data-language-autonym="தமிழ்" data-language-local-name="tamilščina" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%97%E0%B8%A4%E0%B8%A9%E0%B8%8E%E0%B8%B5%E0%B8%9A%E0%B8%97" title="ทฤษฎีบท – tajščina" lang="th" hreflang="th" data-title="ทฤษฎีบท" data-language-autonym="ไทย" data-language-local-name="tajščina" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Teorem" title="Teorem – turščina" lang="tr" hreflang="tr" data-title="Teorem" data-language-autonym="Türkçe" data-language-local-name="turščina" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0" title="Теорема – ukrajinščina" lang="uk" hreflang="uk" data-title="Теорема" data-language-autonym="Українська" data-language-local-name="ukrajinščina" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%82%D8%B6%DB%8C%DB%81" title="قضیہ – urdujščina" lang="ur" hreflang="ur" data-title="قضیہ" data-language-autonym="اردو" data-language-local-name="urdujščina" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Teorema" title="Teorema – uzbeščina" lang="uz" hreflang="uz" data-title="Teorema" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbeščina" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/%C4%90%E1%BB%8Bnh_l%C3%BD_to%C3%A1n_h%E1%BB%8Dc" title="Định lý toán học – vietnamščina" lang="vi" hreflang="vi" data-title="Định lý toán học" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamščina" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E5%AE%9A%E7%90%86" title="定理 – wu-kitajščina" lang="wuu" hreflang="wuu" data-title="定理" data-language-autonym="吴语" data-language-local-name="wu-kitajščina" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xal mw-list-item"><a href="https://xal.wikipedia.org/wiki/%D0%A2%D0%B0%D0%B0%D0%BB%D2%BB%D0%BD" title="Таалһн – kalmiščina" lang="xal" hreflang="xal" data-title="Таалһн" data-language-autonym="Хальмг" data-language-local-name="kalmiščina" class="interlanguage-link-target"><span>Хальмг</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%98%D7%A2%D7%90%D7%A8%D7%A2%D7%9D" title="טעארעם – jidiš" lang="yi" hreflang="yi" data-title="טעארעם" data-language-autonym="ייִדיש" data-language-local-name="jidiš" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-zgh mw-list-item"><a href="https://zgh.wikipedia.org/wiki/%E2%B4%B0%E2%B5%99%E2%B4%BD%E2%B4%BD%E2%B5%93%E2%B4%B7" title="ⴰⵙⴽⴽⵓⴷ – standardni maroški tamazig" lang="zgh" hreflang="zgh" data-title="ⴰⵙⴽⴽⵓⴷ" data-language-autonym="ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ" data-language-local-name="standardni maroški tamazig" class="interlanguage-link-target"><span>ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%AE%9A%E7%90%86" title="定理 – kitajščina" lang="zh" hreflang="zh" data-title="定理" data-language-autonym="中文" data-language-local-name="kitajščina" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E5%AE%9A%E7%90%86" title="定理 – kantonščina" lang="yue" hreflang="yue" data-title="定理" data-language-autonym="粵語" data-language-local-name="kantonščina" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q65943#sitelinks-wikipedia" title="Uredi medjezikovne povezave" class="wbc-editpage">Uredi povezave</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Imenski prostori"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Izrek" title="Ogled vsebinske strani [c]" accesskey="c"><span>Stran</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Pogovor:Izrek" rel="discussion" title="Pogovor o vsebinski strani [t]" accesskey="t"><span>Pogovor</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Spremeni različico jezika" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span 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[e]" accesskey="e"><span>Uredi kodo</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Izrek&action=history" title="Prejšnje redakcije te strani [h]" accesskey="h"><span>Zgodovina</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Orodja strani"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Orodja" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Orodja</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Orodja</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">prestavi v stransko letvico</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">skrij</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Več možnosti" > <div class="vector-menu-heading"> Dejanja </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Izrek"><span>Preberi</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Izrek&veaction=edit" title="Uredite to stran [v]" accesskey="v"><span>Uredi stran</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Izrek&action=edit" title="Uredi izvorno kodo te strani [e]" accesskey="e"><span>Uredi kodo</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Izrek&action=history"><span>Zgodovina</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Splošno </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Posebno:KajSePovezujeSem/Izrek" title="Seznam vseh strani, ki se povezujejo sem [j]" accesskey="j"><span>Kaj se povezuje sem</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Posebno:RecentChangesLinked/Izrek" rel="nofollow" title="Zadnje spremembe na straneh, s katerimi se povezuje ta stran [k]" accesskey="k"><span>Povezane spremembe</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Izrek&oldid=5053082" title="Trajna povezava na to redakcijo strani"><span>Trajna povezava</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Izrek&action=info" title="Več informacij o tej strani"><span>Podatki o strani</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Posebno:Navedi&page=Izrek&id=5053082&wpFormIdentifier=titleform" title="Informacije o tem, kako navajati to stran"><span>Navedba članka</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Posebno:UrlShortener&url=https%3A%2F%2Fsl.wikipedia.org%2Fwiki%2FIzrek"><span>Pridobi skrajšani URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Posebno:QrCode&url=https%3A%2F%2Fsl.wikipedia.org%2Fwiki%2FIzrek"><span>Prenesi kodo QR</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Tiskanje/izvoz </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Posebno:Book&bookcmd=book_creator&referer=Izrek"><span>Ustvari e-knjigo</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Posebno:DownloadAsPdf&page=Izrek&action=show-download-screen"><span>Prenesi kot PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Izrek&printable=yes" title="Različica te strani za tisk [p]" accesskey="p"><span>Različica za tisk</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> V drugih projektih </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Theorems" hreflang="en"><span>Wikimedijina zbirka</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q65943" title="Povezava na ustrezni predmet v podatkovni shrambi [g]" accesskey="g"><span>Predmet v Wikipodatkih</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Orodja strani"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Videz"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Videz</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">prestavi v stransko letvico</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">skrij</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Iz Wikipedije, proste enciklopedije</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="sl" dir="ltr"><p><b>Izrèk</b> (ali <b>teorém</b>, <a href="/wiki/Gr%C5%A1%C4%8Dina" title="Grščina">grško</a> <a href="/wiki/Stara_gr%C5%A1%C4%8Dina" class="mw-redirect" title="Stara grščina">starogrško</a> <span lang="grc">θεώρημα</span>: theórema - <i>videz</i>, <i>predstava</i>, <i>prizor</i>; <i>izrek</i>) je <a href="/w/index.php?title=Trditev&action=edit&redlink=1" class="new" title="Trditev (stran ne obstaja)">trditev</a> (<a href="/w/index.php?title=Predpostavka&action=edit&redlink=1" class="new" title="Predpostavka (stran ne obstaja)">predpostavka</a>, <a href="/w/index.php?title=Postavka&action=edit&redlink=1" class="new" title="Postavka (stran ne obstaja)">postavka</a>, <a href="/w/index.php?title=Propozicija&action=edit&redlink=1" class="new" title="Propozicija (stran ne obstaja)">propozicija</a>) oziroma nedokazano <a href="/wiki/Na%C4%8Delo" title="Načelo">načelo</a>, ki je bila ali bo dokazana v poljubnem <a href="/wiki/Logika" title="Logika">logičnem</a> sistemu na podlagi nedvoumnih privzetkov. <a href="/wiki/Matemati%C4%8Dni_dokaz" title="Matematični dokaz">Dokazovanje</a> izrekov je glavna dejavnost <a href="/wiki/Matematika" title="Matematika">matematike</a>. Izrek se razlikuje od <a href="/wiki/Teorija" title="Teorija">teorije</a>. Lahko tudi nekako rečemo, da izrek, v nasprotju z <a href="/wiki/Aksiom" title="Aksiom">aksiomom</a>, ni <a href="/w/index.php?title=Samoumevnost&action=edit&redlink=1" class="new" title="Samoumevnost (stran ne obstaja)">samoumeven</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Zgradba_izreka">Zgradba izreka</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Izrek&veaction=edit&section=1" title="Uredi razdelek: Zgradba izreka" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Izrek&action=edit&section=1" title="Urejanje izvorne kode razdelka: Zgradba izreka"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Izrek ima po navadi nastavitev, niz <a href="/w/index.php?title=Pogoj&action=edit&redlink=1" class="new" title="Pogoj (stran ne obstaja)">pogojev</a>, ki so lahko <a href="/wiki/Seznam" title="Seznam">razvrščeni</a> v izreku samem ali opisani pred njim. Nato ima zaključek - matematično <a href="/w/index.php?title=Izjava&action=edit&redlink=1" class="new" title="Izjava (stran ne obstaja)">izjavo</a>, ki je <a href="/wiki/Resnica" title="Resnica">resnična</a> pod danimi pogoji. Dokaz, ki je sicer nujen za označitev dane izjave kot <i>izrek</i>, ni del izreka. </p><p>V splošnem mora biti izjava v matematiki na neki način dovolj zanimiva ali pomembna, da jo lahko imenujemo izrek. Manj pomembne izjave so: </p> <ul><li><b><a href="/wiki/Lema" title="Lema">lema</a></b>: izjava, ki je del dokaza večjega izreka. Razlika med izreki in lemami je dokaj poljubna, saj je pomemben rezultat nekega matematika lahko manjša trditev drugega. <a href="/wiki/Gaussova_lema" class="mw-disambig" title="Gaussova lema">Gaussovi lemi</a> in <a href="/wiki/Zornova_lema" title="Zornova lema">Zornova lema</a> so na primer dovolj zanimive same po sebi, zato nekateri avtorji uporabljajo lemo s posebnim imenom brez da bi jo uporabljali v dokazu kakšnega izreka.</li> <li><b>korolarij</b> (<b>dostavek</b>): trditev, ki izhaja prek kratkega dokaza ali brez iz ravnokar dokazanega. Trditev <i>A</i> je korolarij trditve ali izreka <i>B</i>, če lahko <i>A</i> hitro in preprosto izvedemo iz <i>B</i>.</li> <li><b>podmena</b> (<b>propozicija</b>): rezultat, ki ni vezan na kakšen poseben izrek.</li> <li><b>zahteva</b>: manj pomemben, vendar nujen in zanimiv rezultat, ki je lahko del dokaza druge izjave. Navkljub imenu imajo zahteve dokaze.</li> <li><b>opomba</b>: podobna kot zahteva. Po navadi se poda brez dokaza, ki je dovolj očiten.</li></ul> <p>Matematična izjava, za katero se verjame, da je resnična, vendar še ni dokazana, se imenuje <a href="/wiki/Domneva" class="mw-redirect" title="Domneva">domneva</a> (<a href="/wiki/Hipoteza" title="Hipoteza">hipoteza</a>, tudi <a href="/w/index.php?title=Konjektura&action=edit&redlink=1" class="new" title="Konjektura (stran ne obstaja)">konjektura</a>). </p><p>Kakor je navedeno zgoraj izrek zahteva neko vrsto logičnega ogrodja. Ta se sestoji iz osnovne množice aksiomov (glej <a href="/w/index.php?title=Aksiomati%C4%8Dni_sistem&action=edit&redlink=1" class="new" title="Aksiomatični sistem (stran ne obstaja)">aksiomatični sistem</a>) in tudi iz toka <a href="/wiki/Sklep" title="Sklep">sklepa</a>, ki dovoljuje, da se lahko novi izreki izvedejo iz aksiomov in drugih izrekov, ki so bili izvedeni prej. V <a href="/w/index.php?title=Izjavna_logika&action=edit&redlink=1" class="new" title="Izjavna logika (stran ne obstaja)">izjavni logiki</a> se vsaka dokazana izjava imenuje izrek. Večina takšnih izrekov nima posebne praktične veljave. Ni preprosto reči zakaj je neki matematični rezultat vreden imenovati se izrek. </p> <div class="mw-heading mw-heading2"><h2 id="Zgledi_izrekov_v_matematiki">Zgledi izrekov v matematiki</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Izrek&veaction=edit&section=2" title="Uredi razdelek: Zgledi izrekov v matematiki" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Izrek&action=edit&section=2" title="Urejanje izvorne kode razdelka: Zgledi izrekov v matematiki"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Veliko izrekov v matematiki je preprostih, oziroma preprosto izrečenih, njihovi dokazi pa so lahko zelo dolgi, oziroma so jih matematiki zelo dolgo dokazovali. Eden najbolj znanih primerov je <a href="/wiki/Fermatov_veliki_izrek" title="Fermatov veliki izrek">Fermatov veliki izrek</a> iz <a href="/wiki/Teorija_%C5%A1tevil" title="Teorija števil">teorije števil</a>. Podobno je z domnevami - na primer: <a href="/wiki/Bertrandova_domneva" title="Bertrandova domneva">Bertrandova</a>, <a href="/wiki/Catalanova_domneva" title="Catalanova domneva">Catalanova</a>, <a href="/wiki/Poincar%C3%A9jeva_domneva" title="Poincaréjeva domneva">Poincaréjeva</a>, <a href="/wiki/Riemannova_domneva" title="Riemannova domneva">Riemannova</a> in <a href="/w/index.php?title=Schanuelova_domneva&action=edit&redlink=1" class="new" title="Schanuelova domneva (stran ne obstaja)">Schanuelova domneva</a>. Več izrekov lahko opredelimo za <i>osnovne</i>. </p><p>Najbolj znani izreki v matematiki so: </p> <ul><li><a href="/wiki/Talesov_izrek" title="Talesov izrek">Talesov izrek</a> (<a href="/wiki/Tales" title="Tales">Tales</a>, 7./6. stoletje pr. n. št.)</li> <li><a href="/wiki/Pitagorov_izrek" title="Pitagorov izrek">Pitagorov izrek</a> (<a href="/wiki/Egip%C4%8Dani" title="Egipčani">Egipčani</a>, <a href="/wiki/Pitagora" title="Pitagora">Pitagora</a>, 6. stoletje pr. n. št.)</li> <li><a href="/wiki/Osnovni_izrek_aritmetike" title="Osnovni izrek aritmetike">osnovni izrek aritmetike</a> (<a href="/wiki/Evklid" title="Evklid">Evklid</a>, 4./3. stoletje pr. n. št.)</li> <li><a href="/wiki/Sinusni_izrek" title="Sinusni izrek">sinusni izrek</a> (<a href="/wiki/Abu_Nasr_Mansur" title="Abu Nasr Mansur">ibn Irak</a>, 10./11. stoletje)</li> <li><a href="/wiki/Osnovni_izrek_infinitezimalnega_ra%C4%8Duna" title="Osnovni izrek infinitezimalnega računa">osnovni izrek infinitezimalnega računa</a> (<a href="/wiki/James_Gregory" title="James Gregory">Gregory</a>, 1667; <a href="/wiki/Isaac_Barrow" title="Isaac Barrow">Barrow</a>)</li> <li><a href="/w/index.php?title=Taylorjev_izrek&action=edit&redlink=1" class="new" title="Taylorjev izrek (stran ne obstaja)">Taylorjev izrek</a> (<a href="/wiki/James_Gregory" title="James Gregory">Gregory</a>, 1671; <a href="/w/index.php?title=Brook_Taylor&action=edit&redlink=1" class="new" title="Brook Taylor (stran ne obstaja)">Taylor</a>, 1712)</li> <li><a href="/wiki/Osnovni_izrek_algebre" title="Osnovni izrek algebre">osnovni izrek algebre</a> (<a href="/wiki/Carl_Friedrich_Gauss" title="Carl Friedrich Gauss">Gauss</a>, 1799)</li> <li><a href="/wiki/Abel-Ruffinijev_izrek" title="Abel-Ruffinijev izrek">Abel-Ruffinijev izrek</a> (<a href="/w/index.php?title=Paolo_Ruffini&action=edit&redlink=1" class="new" title="Paolo Ruffini (stran ne obstaja)">Ruffini</a>, 1799; <a href="/wiki/Niels_Henrik_Abel" title="Niels Henrik Abel">Abel</a>, 1823)</li> <li><a href="/wiki/Pra%C5%A1tevilski_izrek" title="Praštevilski izrek">praštevilski izrek</a> (<a href="/w/index.php?title=Charles-Jean_de_La_Vall%C3%A9e_Poussin&action=edit&redlink=1" class="new" title="Charles-Jean de La Vallée Poussin (stran ne obstaja)">La Vallée Poussin</a>, <a href="/wiki/Jacques_Salomon_Hadamard" title="Jacques Salomon Hadamard">Hadamard</a>, 1896)</li> <li><a href="/wiki/Lindemann-Weierstrassov_izrek" title="Lindemann-Weierstrassov izrek">Lindemann-Weierstrassov izrek</a> (<a href="/w/index.php?title=Carl_Louis_Ferdinand_von_Lindemannu&action=edit&redlink=1" class="new" title="Carl Louis Ferdinand von Lindemannu (stran ne obstaja)">Lindemann</a>, 1882; <a href="/wiki/Karl_Weierstrass" title="Karl Weierstrass">Weierstrass</a>, 1885)</li> <li><a href="/w/index.php?title=Thue-Sigel-Rothov_izrek&action=edit&redlink=1" class="new" title="Thue-Sigel-Rothov izrek (stran ne obstaja)">Thue-Sigel-Rothov izrek</a> (<a href="/w/index.php?title=Axel_Thue&action=edit&redlink=1" class="new" title="Axel Thue (stran ne obstaja)">Thue</a>, 1909; <a href="/wiki/Carl_Ludwig_Siegel" title="Carl Ludwig Siegel">Siegel</a>, 1921; <a href="/wiki/Freeman_John_Dyson" title="Freeman John Dyson">Dyson</a>, 1947; <a href="/wiki/Klaus_Friedrich_Roth" title="Klaus Friedrich Roth">Roth</a>, 1955)</li> <li><a href="/wiki/Izrek_%C5%A1tirih_barv" title="Izrek štirih barv">izrek štirih barv</a> (<a href="/w/index.php?title=Kenneth_Appel&action=edit&redlink=1" class="new" title="Kenneth Appel (stran ne obstaja)">Appel</a>, <a href="/w/index.php?title=Wolfgang_Haken&action=edit&redlink=1" class="new" title="Wolfgang Haken (stran ne obstaja)">Haken</a>, 1976)</li> <li><a href="/wiki/Fermatov_veliki_izrek" title="Fermatov veliki izrek">Fermatov veliki izrek</a> (<a href="/wiki/Andrew_John_Wiles" title="Andrew John Wiles">Wiles</a>, 1995)</li> <li>...</li></ul> <div class="mw-heading mw-heading2"><h2 id="Izreki_v_drugih_vedah_in_področjih"><span id="Izreki_v_drugih_vedah_in_podro.C4.8Djih"></span>Izreki v drugih vedah in področjih</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Izrek&veaction=edit&section=3" title="Uredi razdelek: Izreki v drugih vedah in področjih" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Izrek&action=edit&section=3" title="Urejanje izvorne kode razdelka: Izreki v drugih vedah in področjih"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Izreki so pomebni tudi v <a href="/wiki/Fizika" title="Fizika">fiziki</a>, čeprav ne v takšni meri kot v matematiki. Na primer <a href="/wiki/Izrek_o_gibalni_koli%C4%8Dini" title="Izrek o gibalni količini">izrek o gibalni količini</a>. Najdemo jih tudi drugod, na primer v <a href="/wiki/Ekonomija" title="Ekonomija">ekonomiji</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Glej_tudi">Glej tudi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Izrek&veaction=edit&section=4" title="Uredi razdelek: Glej tudi" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Izrek&action=edit&section=4" title="Urejanje izvorne kode razdelka: Glej tudi"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Matematika">Matematika</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Izrek&veaction=edit&section=5" title="Uredi razdelek: Matematika" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Izrek&action=edit&section=5" title="Urejanje izvorne kode razdelka: Matematika"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Postulat" class="mw-redirect" title="Postulat">postulat</a></li> <li><a href="/wiki/Izjavna_forma" title="Izjavna forma">izjavna forma</a></li> <li><a href="/wiki/Ena%C4%8Dba" title="Enačba">enačba</a></li> <li><a href="/wiki/Formula" title="Formula">formula</a></li> <li><a href="/wiki/Stavek" title="Stavek">stavek</a></li> <li><a href="/w/index.php?title=G%C3%B6dlova_izreka_o_nepopolnosti&action=edit&redlink=1" class="new" title="Gödlova izreka o nepopolnosti (stran ne obstaja)">Gödlova izreka o nepopolnosti</a></li> <li><a href="/wiki/Nere%C5%A1eni_matemati%C4%8Dni_problemi" title="Nerešeni matematični problemi">nerešeni matematični problemi</a></li></ul> <div class="mw-heading mw-heading3"><h3 id="Jeziki">Jeziki</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Izrek&veaction=edit&section=6" title="Uredi razdelek: Jeziki" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Izrek&action=edit&section=6" title="Urejanje izvorne kode razdelka: Jeziki"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Seznam_latinskih_izrekov_s_komentarji" class="mw-redirect" title="Seznam latinskih izrekov s komentarji">latinski izreki</a></li></ul> <div role="navigation" class="navbox" aria-label="Navbox" style="padding:3px"><table class="nowraplinks hlist navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Wikipedija:Normativna_kontrola" title="Wikipedija:Normativna kontrola">Normativna kontrola: Narodne knjižnice</a> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q65943#identifiers" title="Uredite to na Wikipodatkih"><img alt="Uredite to na Wikipodatkih" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/10px-OOjs_UI_icon_edit-ltr-progressive.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/15px-OOjs_UI_icon_edit-ltr-progressive.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/20px-OOjs_UI_icon_edit-ltr-progressive.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.ndl.go.jp/auth/ndlna/00577594">Japonska</a></span></li></ul> </div></td></tr></tbody></table></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?useformat=desktop&type=1x1&usesul3=0" alt="" width="1" height="1" style="border: none; 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