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76 lines
25 KiB
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<html><head><meta charset="utf-8"><title>Categories.Diagram.Cocone.Properties</title><link rel="stylesheet" href="Agda.css"></head><body><pre class="Agda"><a id="1" class="Symbol">{-#</a> <a id="5" class="Keyword">OPTIONS</a> <a id="13" class="Pragma">--without-K</a> <a id="25" class="Pragma">--safe</a> <a id="32" class="Symbol">#-}</a>
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<a id="37" class="Keyword">module</a> <a id="44" href="Categories.Diagram.Cocone.Properties.html" class="Module">Categories.Diagram.Cocone.Properties</a> <a id="81" class="Keyword">where</a>
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<a id="88" class="Keyword">open</a> <a id="93" class="Keyword">import</a> <a id="100" href="Level.html" class="Module">Level</a>
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<a id="107" class="Keyword">open</a> <a id="112" class="Keyword">import</a> <a id="119" href="Categories.Category.html" class="Module">Categories.Category</a>
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<a id="139" class="Keyword">open</a> <a id="144" class="Keyword">import</a> <a id="151" href="Categories.Functor.html" class="Module">Categories.Functor</a>
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<a id="170" class="Keyword">open</a> <a id="175" class="Keyword">import</a> <a id="182" href="Categories.Functor.Properties.html" class="Module">Categories.Functor.Properties</a>
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<a id="212" class="Keyword">open</a> <a id="217" class="Keyword">import</a> <a id="224" href="Categories.NaturalTransformation.html" class="Module">Categories.NaturalTransformation</a>
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<a id="257" class="Keyword">open</a> <a id="262" class="Keyword">import</a> <a id="269" href="Categories.Diagram.Cone.Properties.html" class="Module">Categories.Diagram.Cone.Properties</a>
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<a id="304" class="Keyword">open</a> <a id="309" class="Keyword">import</a> <a id="316" href="Categories.Diagram.Duality.html" class="Module">Categories.Diagram.Duality</a>
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<a id="344" class="Keyword">import</a> <a id="351" href="Categories.Diagram.Cocone.html" class="Module">Categories.Diagram.Cocone</a> <a id="377" class="Symbol">as</a> <a id="380" class="Module">Coc</a>
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<a id="384" class="Keyword">import</a> <a id="391" href="Categories.Morphism.Reasoning.html" class="Module">Categories.Morphism.Reasoning</a> <a id="421" class="Symbol">as</a> <a id="424" class="Module">MR</a>
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<a id="428" class="Keyword">private</a>
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<a id="438" class="Keyword">variable</a>
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<a id="451" href="Categories.Diagram.Cocone.Properties.html#451" class="Generalizable">o</a> <a id="453" href="Categories.Diagram.Cocone.Properties.html#453" class="Generalizable">ℓ</a> <a id="455" href="Categories.Diagram.Cocone.Properties.html#455" class="Generalizable">e</a> <a id="457" class="Symbol">:</a> <a id="459" href="Agda.Primitive.html#591" class="Postulate">Level</a>
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<a id="469" href="Categories.Diagram.Cocone.Properties.html#469" class="Generalizable">C</a> <a id="471" href="Categories.Diagram.Cocone.Properties.html#471" class="Generalizable">D</a> <a id="473" href="Categories.Diagram.Cocone.Properties.html#473" class="Generalizable">J</a> <a id="475" href="Categories.Diagram.Cocone.Properties.html#475" class="Generalizable">J′</a> <a id="478" class="Symbol">:</a> <a id="480" href="Categories.Category.Core.html#442" class="Record">Category</a> <a id="489" href="Categories.Diagram.Cocone.Properties.html#451" class="Generalizable">o</a> <a id="491" href="Categories.Diagram.Cocone.Properties.html#453" class="Generalizable">ℓ</a> <a id="493" href="Categories.Diagram.Cocone.Properties.html#455" class="Generalizable">e</a>
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<a id="496" class="Keyword">module</a> <a id="503" href="Categories.Diagram.Cocone.Properties.html#503" class="Module">_</a> <a id="505" class="Symbol">{</a><a id="506" href="Categories.Diagram.Cocone.Properties.html#506" class="Bound">F</a> <a id="508" class="Symbol">:</a> <a id="510" href="Categories.Functor.Core.html#248" class="Record">Functor</a> <a id="518" href="Categories.Diagram.Cocone.Properties.html#473" class="Generalizable">J</a> <a id="520" href="Categories.Diagram.Cocone.Properties.html#469" class="Generalizable">C</a><a id="521" class="Symbol">}</a> <a id="523" class="Symbol">(</a><a id="524" href="Categories.Diagram.Cocone.Properties.html#524" class="Bound">G</a> <a id="526" class="Symbol">:</a> <a id="528" href="Categories.Functor.Core.html#248" class="Record">Functor</a> <a id="536" href="Categories.Diagram.Cocone.Properties.html#469" class="Generalizable">C</a> <a id="538" href="Categories.Diagram.Cocone.Properties.html#471" class="Generalizable">D</a><a id="539" class="Symbol">)</a> <a id="541" class="Keyword">where</a>
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<a id="549" class="Keyword">private</a>
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<a id="561" class="Keyword">module</a> <a id="568" href="Categories.Diagram.Cocone.Properties.html#568" class="Module">C</a> <a id="570" class="Symbol">=</a> <a id="572" href="Categories.Category.Core.html#442" class="Module">Category</a> <a id="581" href="Categories.Diagram.Cocone.Properties.html#520" class="Bound">C</a>
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<a id="587" class="Keyword">module</a> <a id="594" href="Categories.Diagram.Cocone.Properties.html#594" class="Module">D</a> <a id="596" class="Symbol">=</a> <a id="598" href="Categories.Category.Core.html#442" class="Module">Category</a> <a id="607" href="Categories.Diagram.Cocone.Properties.html#538" class="Bound">D</a>
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<a id="613" class="Keyword">module</a> <a id="620" href="Categories.Diagram.Cocone.Properties.html#620" class="Module">F</a> <a id="622" class="Symbol">=</a> <a id="624" href="Categories.Functor.Core.html#248" class="Module">Functor</a> <a id="632" href="Categories.Diagram.Cocone.Properties.html#506" class="Bound">F</a>
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<a id="638" class="Keyword">module</a> <a id="645" href="Categories.Diagram.Cocone.Properties.html#645" class="Module">G</a> <a id="647" class="Symbol">=</a> <a id="649" href="Categories.Functor.Core.html#248" class="Module">Functor</a> <a id="657" href="Categories.Diagram.Cocone.Properties.html#524" class="Bound">G</a>
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<a id="663" class="Keyword">module</a> <a id="670" href="Categories.Diagram.Cocone.Properties.html#670" class="Module">CF</a> <a id="673" class="Symbol">=</a> <a id="675" href="Categories.Diagram.Cocone.html" class="Module">Coc</a> <a id="679" href="Categories.Diagram.Cocone.Properties.html#506" class="Bound">F</a>
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<a id="685" href="Categories.Diagram.Cocone.Properties.html#685" class="Function">GF</a> <a id="688" class="Symbol">=</a> <a id="690" href="Categories.Diagram.Cocone.Properties.html#524" class="Bound">G</a> <a id="692" href="Categories.Functor.html#747" class="Function Operator">∘F</a> <a id="695" href="Categories.Diagram.Cocone.Properties.html#506" class="Bound">F</a>
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<a id="701" class="Keyword">module</a> <a id="708" href="Categories.Diagram.Cocone.Properties.html#708" class="Module">CGF</a> <a id="712" class="Symbol">=</a> <a id="714" href="Categories.Diagram.Cocone.html" class="Module">Coc</a> <a id="718" href="Categories.Diagram.Cocone.Properties.html#685" class="Function">GF</a>
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<a id="724" href="Categories.Diagram.Cocone.Properties.html#724" class="Function">F-map-Coconeˡ</a> <a id="738" class="Symbol">:</a> <a id="740" href="Categories.Diagram.Cocone.html#534" class="Record">CF.Cocone</a> <a id="750" class="Symbol">→</a> <a id="752" href="Categories.Diagram.Cocone.html#534" class="Record">CGF.Cocone</a>
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<a id="765" href="Categories.Diagram.Cocone.Properties.html#724" class="Function">F-map-Coconeˡ</a> <a id="779" href="Categories.Diagram.Cocone.Properties.html#779" class="Bound">K</a> <a id="781" class="Symbol">=</a> <a id="783" class="Keyword">record</a>
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<a id="794" class="Symbol">{</a> <a id="796" href="Categories.Diagram.Cocone.html#604" class="Field">coapex</a> <a id="803" class="Symbol">=</a> <a id="805" class="Keyword">record</a>
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<a id="818" class="Symbol">{</a> <a id="820" href="Categories.Diagram.Cocone.html#425" class="Field">ψ</a> <a id="828" class="Symbol">=</a> <a id="830" class="Symbol">λ</a> <a id="832" href="Categories.Diagram.Cocone.Properties.html#832" class="Bound">X</a> <a id="834" class="Symbol">→</a> <a id="836" href="Categories.Functor.Core.html#455" class="Field">G.F₁</a> <a id="841" class="Symbol">(</a><a id="842" href="Categories.Diagram.Cocone.html#425" class="Function">ψ</a> <a id="844" href="Categories.Diagram.Cocone.Properties.html#832" class="Bound">X</a><a id="845" class="Symbol">)</a>
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<a id="853" class="Symbol">;</a> <a id="855" href="Categories.Diagram.Cocone.html#471" class="Field">commute</a> <a id="863" class="Symbol">=</a> <a id="865" class="Symbol">λ</a> <a id="867" href="Categories.Diagram.Cocone.Properties.html#867" class="Bound">f</a> <a id="869" class="Symbol">→</a> <a id="871" href="Categories.Functor.Properties.html#2426" class="Function Operator">[</a> <a id="873" href="Categories.Diagram.Cocone.Properties.html#524" class="Bound">G</a> <a id="875" href="Categories.Functor.Properties.html#2426" class="Function Operator">]-resp-∘</a> <a id="884" class="Symbol">(</a><a id="885" href="Categories.Diagram.Cocone.html#471" class="Function">commute</a> <a id="893" href="Categories.Diagram.Cocone.Properties.html#867" class="Bound">f</a><a id="894" class="Symbol">)</a>
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<a id="902" class="Symbol">}</a>
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<a id="908" class="Symbol">}</a>
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<a id="914" class="Keyword">where</a> <a id="920" class="Keyword">open</a> <a id="925" href="Categories.Diagram.Cocone.html#534" class="Module">CF.Cocone</a> <a id="935" href="Categories.Diagram.Cocone.Properties.html#779" class="Bound">K</a>
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<a id="940" href="Categories.Diagram.Cocone.Properties.html#940" class="Function">F-map-Cocone⇒ˡ</a> <a id="955" class="Symbol">:</a> <a id="957" class="Symbol">∀</a> <a id="959" class="Symbol">{</a><a id="960" href="Categories.Diagram.Cocone.Properties.html#960" class="Bound">K</a> <a id="962" href="Categories.Diagram.Cocone.Properties.html#962" class="Bound">K′</a><a id="964" class="Symbol">}</a> <a id="966" class="Symbol">(</a><a id="967" href="Categories.Diagram.Cocone.Properties.html#967" class="Bound">f</a> <a id="969" class="Symbol">:</a> <a id="971" href="Categories.Diagram.Cocone.html#684" class="Record">CF.Cocone⇒</a> <a id="982" href="Categories.Diagram.Cocone.Properties.html#960" class="Bound">K</a> <a id="984" href="Categories.Diagram.Cocone.Properties.html#962" class="Bound">K′</a><a id="986" class="Symbol">)</a> <a id="988" class="Symbol">→</a> <a id="990" href="Categories.Diagram.Cocone.html#684" class="Record">CGF.Cocone⇒</a> <a id="1002" class="Symbol">(</a><a id="1003" href="Categories.Diagram.Cocone.Properties.html#724" class="Function">F-map-Coconeˡ</a> <a id="1017" href="Categories.Diagram.Cocone.Properties.html#960" class="Bound">K</a><a id="1018" class="Symbol">)</a> <a id="1020" class="Symbol">(</a><a id="1021" href="Categories.Diagram.Cocone.Properties.html#724" class="Function">F-map-Coconeˡ</a> <a id="1035" href="Categories.Diagram.Cocone.Properties.html#962" class="Bound">K′</a><a id="1037" class="Symbol">)</a>
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<a id="1041" href="Categories.Diagram.Cocone.Properties.html#940" class="Function">F-map-Cocone⇒ˡ</a> <a id="1056" href="Categories.Diagram.Cocone.Properties.html#1056" class="Bound">f</a> <a id="1058" class="Symbol">=</a> <a id="1060" class="Keyword">record</a>
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<a id="1071" class="Symbol">{</a> <a id="1073" href="Categories.Diagram.Cocone.html#745" class="Field">arr</a> <a id="1081" class="Symbol">=</a> <a id="1083" href="Categories.Functor.Core.html#455" class="Field">G.F₁</a> <a id="1088" href="Categories.Diagram.Cocone.html#745" class="Field">arr</a>
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<a id="1096" class="Symbol">;</a> <a id="1098" href="Categories.Diagram.Cocone.html#770" class="Field">commute</a> <a id="1106" class="Symbol">=</a> <a id="1108" href="Categories.Functor.Properties.html#2426" class="Function Operator">[</a> <a id="1110" href="Categories.Diagram.Cocone.Properties.html#524" class="Bound">G</a> <a id="1112" href="Categories.Functor.Properties.html#2426" class="Function Operator">]-resp-∘</a> <a id="1121" href="Categories.Diagram.Cocone.html#770" class="Field">commute</a>
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<a id="1133" class="Symbol">}</a>
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<a id="1139" class="Keyword">where</a> <a id="1145" class="Keyword">open</a> <a id="1150" href="Categories.Diagram.Cocone.html#684" class="Module">CF.Cocone⇒</a> <a id="1161" href="Categories.Diagram.Cocone.Properties.html#1056" class="Bound">f</a>
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<a id="1164" class="Keyword">module</a> <a id="1171" href="Categories.Diagram.Cocone.Properties.html#1171" class="Module">_</a> <a id="1173" class="Symbol">{</a><a id="1174" href="Categories.Diagram.Cocone.Properties.html#1174" class="Bound">F</a> <a id="1176" class="Symbol">:</a> <a id="1178" href="Categories.Functor.Core.html#248" class="Record">Functor</a> <a id="1186" href="Categories.Diagram.Cocone.Properties.html#473" class="Generalizable">J</a> <a id="1188" href="Categories.Diagram.Cocone.Properties.html#469" class="Generalizable">C</a><a id="1189" class="Symbol">}</a> <a id="1191" class="Symbol">(</a><a id="1192" href="Categories.Diagram.Cocone.Properties.html#1192" class="Bound">G</a> <a id="1194" class="Symbol">:</a> <a id="1196" href="Categories.Functor.Core.html#248" class="Record">Functor</a> <a id="1204" href="Categories.Diagram.Cocone.Properties.html#475" class="Generalizable">J′</a> <a id="1207" href="Categories.Diagram.Cocone.Properties.html#473" class="Generalizable">J</a><a id="1208" class="Symbol">)</a> <a id="1210" class="Keyword">where</a>
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<a id="1218" class="Keyword">private</a>
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<a id="1230" class="Keyword">module</a> <a id="1237" href="Categories.Diagram.Cocone.Properties.html#1237" class="Module">C</a> <a id="1241" class="Symbol">=</a> <a id="1243" href="Categories.Category.Core.html#442" class="Module">Category</a> <a id="1252" href="Categories.Diagram.Cocone.Properties.html#1188" class="Bound">C</a>
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<a id="1258" class="Keyword">module</a> <a id="1265" href="Categories.Diagram.Cocone.Properties.html#1265" class="Module">J′</a> <a id="1269" class="Symbol">=</a> <a id="1271" href="Categories.Category.Core.html#442" class="Module">Category</a> <a id="1280" href="Categories.Diagram.Cocone.Properties.html#1204" class="Bound">J′</a>
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<a id="1287" class="Keyword">module</a> <a id="1294" href="Categories.Diagram.Cocone.Properties.html#1294" class="Module">F</a> <a id="1298" class="Symbol">=</a> <a id="1300" href="Categories.Functor.Core.html#248" class="Module">Functor</a> <a id="1308" href="Categories.Diagram.Cocone.Properties.html#1174" class="Bound">F</a>
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<a id="1314" class="Keyword">module</a> <a id="1321" href="Categories.Diagram.Cocone.Properties.html#1321" class="Module">G</a> <a id="1325" class="Symbol">=</a> <a id="1327" href="Categories.Functor.Core.html#248" class="Module">Functor</a> <a id="1335" href="Categories.Diagram.Cocone.Properties.html#1192" class="Bound">G</a>
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<a id="1341" class="Keyword">module</a> <a id="1348" href="Categories.Diagram.Cocone.Properties.html#1348" class="Module">CF</a> <a id="1352" class="Symbol">=</a> <a id="1354" href="Categories.Diagram.Cocone.html" class="Module">Coc</a> <a id="1358" href="Categories.Diagram.Cocone.Properties.html#1174" class="Bound">F</a>
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<a id="1364" href="Categories.Diagram.Cocone.Properties.html#1364" class="Function">FG</a> <a id="1367" class="Symbol">=</a> <a id="1369" href="Categories.Diagram.Cocone.Properties.html#1174" class="Bound">F</a> <a id="1371" href="Categories.Functor.html#747" class="Function Operator">∘F</a> <a id="1374" href="Categories.Diagram.Cocone.Properties.html#1192" class="Bound">G</a>
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<a id="1380" class="Keyword">module</a> <a id="1387" href="Categories.Diagram.Cocone.Properties.html#1387" class="Module">CFG</a> <a id="1391" class="Symbol">=</a> <a id="1393" href="Categories.Diagram.Cocone.html" class="Module">Coc</a> <a id="1397" href="Categories.Diagram.Cocone.Properties.html#1364" class="Function">FG</a>
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<a id="1403" href="Categories.Diagram.Cocone.Properties.html#1403" class="Function">F-map-Coconeʳ</a> <a id="1417" class="Symbol">:</a> <a id="1419" href="Categories.Diagram.Cocone.html#534" class="Record">CF.Cocone</a> <a id="1429" class="Symbol">→</a> <a id="1431" href="Categories.Diagram.Cocone.html#534" class="Record">CFG.Cocone</a>
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<a id="1444" href="Categories.Diagram.Cocone.Properties.html#1403" class="Function">F-map-Coconeʳ</a> <a id="1458" href="Categories.Diagram.Cocone.Properties.html#1458" class="Bound">K</a> <a id="1460" class="Symbol">=</a> <a id="1462" href="Categories.Diagram.Duality.html#3186" class="Function">coCone⇒Cocone</a> <a id="1476" href="Categories.Diagram.Cocone.Properties.html#1188" class="Bound">C</a> <a id="1478" class="Symbol">(</a><a id="1479" href="Categories.Diagram.Cone.Properties.html#1286" class="Function">F-map-Coneʳ</a> <a id="1491" href="Categories.Functor.Core.html#816" class="Function">G.op</a> <a id="1496" class="Symbol">(</a><a id="1497" href="Categories.Diagram.Duality.html#3494" class="Function">Cocone⇒coCone</a> <a id="1511" href="Categories.Diagram.Cocone.Properties.html#1188" class="Bound">C</a> <a id="1513" href="Categories.Diagram.Cocone.Properties.html#1458" class="Bound">K</a><a id="1514" class="Symbol">))</a>
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<a id="1520" href="Categories.Diagram.Cocone.Properties.html#1520" class="Function">F-map-Cocone⇒ʳ</a> <a id="1535" class="Symbol">:</a> <a id="1537" class="Symbol">∀</a> <a id="1539" class="Symbol">{</a><a id="1540" href="Categories.Diagram.Cocone.Properties.html#1540" class="Bound">K</a> <a id="1542" href="Categories.Diagram.Cocone.Properties.html#1542" class="Bound">K′</a><a id="1544" class="Symbol">}</a> <a id="1546" class="Symbol">(</a><a id="1547" href="Categories.Diagram.Cocone.Properties.html#1547" class="Bound">f</a> <a id="1549" class="Symbol">:</a> <a id="1551" href="Categories.Diagram.Cocone.html#684" class="Record">CF.Cocone⇒</a> <a id="1562" href="Categories.Diagram.Cocone.Properties.html#1540" class="Bound">K</a> <a id="1564" href="Categories.Diagram.Cocone.Properties.html#1542" class="Bound">K′</a><a id="1566" class="Symbol">)</a> <a id="1568" class="Symbol">→</a> <a id="1570" href="Categories.Diagram.Cocone.html#684" class="Record">CFG.Cocone⇒</a> <a id="1582" class="Symbol">(</a><a id="1583" href="Categories.Diagram.Cocone.Properties.html#1403" class="Function">F-map-Coconeʳ</a> <a id="1597" href="Categories.Diagram.Cocone.Properties.html#1540" class="Bound">K</a><a id="1598" class="Symbol">)</a> <a id="1600" class="Symbol">(</a><a id="1601" href="Categories.Diagram.Cocone.Properties.html#1403" class="Function">F-map-Coconeʳ</a> <a id="1615" href="Categories.Diagram.Cocone.Properties.html#1542" class="Bound">K′</a><a id="1617" class="Symbol">)</a>
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<a id="1621" href="Categories.Diagram.Cocone.Properties.html#1520" class="Function">F-map-Cocone⇒ʳ</a> <a id="1636" href="Categories.Diagram.Cocone.Properties.html#1636" class="Bound">f</a> <a id="1638" class="Symbol">=</a> <a id="1640" href="Categories.Diagram.Duality.html#3633" class="Function">coCone⇒⇒Cocone⇒</a> <a id="1656" href="Categories.Diagram.Cocone.Properties.html#1188" class="Bound">C</a> <a id="1658" class="Symbol">(</a><a id="1659" href="Categories.Diagram.Cone.Properties.html#1482" class="Function">F-map-Cone⇒ʳ</a> <a id="1672" href="Categories.Functor.Core.html#816" class="Function">G.op</a> <a id="1677" class="Symbol">(</a><a id="1678" href="Categories.Diagram.Duality.html#3831" class="Function">Cocone⇒⇒coCone⇒</a> <a id="1694" href="Categories.Diagram.Cocone.Properties.html#1188" class="Bound">C</a> <a id="1696" href="Categories.Diagram.Cocone.Properties.html#1636" class="Bound">f</a><a id="1697" class="Symbol">))</a>
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<a id="1701" class="Keyword">module</a> <a id="1708" href="Categories.Diagram.Cocone.Properties.html#1708" class="Module">_</a> <a id="1710" class="Symbol">{</a><a id="1711" href="Categories.Diagram.Cocone.Properties.html#1711" class="Bound">F</a> <a id="1713" href="Categories.Diagram.Cocone.Properties.html#1713" class="Bound">G</a> <a id="1715" class="Symbol">:</a> <a id="1717" href="Categories.Functor.Core.html#248" class="Record">Functor</a> <a id="1725" href="Categories.Diagram.Cocone.Properties.html#473" class="Generalizable">J</a> <a id="1727" href="Categories.Diagram.Cocone.Properties.html#469" class="Generalizable">C</a><a id="1728" class="Symbol">}</a> <a id="1730" class="Symbol">(</a><a id="1731" href="Categories.Diagram.Cocone.Properties.html#1731" class="Bound">α</a> <a id="1733" class="Symbol">:</a> <a id="1735" href="Categories.NaturalTransformation.Core.html#466" class="Record">NaturalTransformation</a> <a id="1757" href="Categories.Diagram.Cocone.Properties.html#1711" class="Bound">F</a> <a id="1759" href="Categories.Diagram.Cocone.Properties.html#1713" class="Bound">G</a><a id="1760" class="Symbol">)</a> <a id="1762" class="Keyword">where</a>
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<a id="1770" class="Keyword">private</a>
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<a id="1782" class="Keyword">module</a> <a id="1789" href="Categories.Diagram.Cocone.Properties.html#1789" class="Module">α</a> <a id="1792" class="Symbol">=</a> <a id="1794" href="Categories.NaturalTransformation.Core.html#466" class="Module">NaturalTransformation</a> <a id="1816" href="Categories.Diagram.Cocone.Properties.html#1731" class="Bound">α</a>
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<a id="1822" class="Keyword">module</a> <a id="1829" href="Categories.Diagram.Cocone.Properties.html#1829" class="Module">CF</a> <a id="1832" class="Symbol">=</a> <a id="1834" href="Categories.Diagram.Cocone.html" class="Module">Coc</a> <a id="1838" href="Categories.Diagram.Cocone.Properties.html#1711" class="Bound">F</a>
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<a id="1844" class="Keyword">module</a> <a id="1851" href="Categories.Diagram.Cocone.Properties.html#1851" class="Module">CG</a> <a id="1854" class="Symbol">=</a> <a id="1856" href="Categories.Diagram.Cocone.html" class="Module">Coc</a> <a id="1860" href="Categories.Diagram.Cocone.Properties.html#1713" class="Bound">G</a>
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<a id="1869" href="Categories.Diagram.Cocone.Properties.html#1869" class="Function">nat-map-Cocone</a> <a id="1884" class="Symbol">:</a> <a id="1886" href="Categories.Diagram.Cocone.html#534" class="Record">CG.Cocone</a> <a id="1896" class="Symbol">→</a> <a id="1898" href="Categories.Diagram.Cocone.html#534" class="Record">CF.Cocone</a>
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<a id="1910" href="Categories.Diagram.Cocone.Properties.html#1869" class="Function">nat-map-Cocone</a> <a id="1925" href="Categories.Diagram.Cocone.Properties.html#1925" class="Bound">K</a> <a id="1927" class="Symbol">=</a> <a id="1929" href="Categories.Diagram.Duality.html#3186" class="Function">coCone⇒Cocone</a> <a id="1943" href="Categories.Diagram.Cocone.Properties.html#1727" class="Bound">C</a> <a id="1945" class="Symbol">(</a><a id="1946" href="Categories.Diagram.Cone.Properties.html#1991" class="Function">nat-map-Cone</a> <a id="1959" href="Categories.NaturalTransformation.Core.html#1114" class="Function">α.op</a> <a id="1964" class="Symbol">(</a><a id="1965" href="Categories.Diagram.Duality.html#3494" class="Function">Cocone⇒coCone</a> <a id="1979" href="Categories.Diagram.Cocone.Properties.html#1727" class="Bound">C</a> <a id="1981" href="Categories.Diagram.Cocone.Properties.html#1925" class="Bound">K</a><a id="1982" class="Symbol">))</a>
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<a id="1988" href="Categories.Diagram.Cocone.Properties.html#1988" class="Function">nat-map-Cocone⇒</a> <a id="2004" class="Symbol">:</a> <a id="2006" class="Symbol">∀</a> <a id="2008" class="Symbol">{</a><a id="2009" href="Categories.Diagram.Cocone.Properties.html#2009" class="Bound">K</a> <a id="2011" href="Categories.Diagram.Cocone.Properties.html#2011" class="Bound">K′</a><a id="2013" class="Symbol">}</a> <a id="2015" class="Symbol">(</a><a id="2016" href="Categories.Diagram.Cocone.Properties.html#2016" class="Bound">f</a> <a id="2018" class="Symbol">:</a> <a id="2020" href="Categories.Diagram.Cocone.html#684" class="Record">CG.Cocone⇒</a> <a id="2031" href="Categories.Diagram.Cocone.Properties.html#2009" class="Bound">K</a> <a id="2033" href="Categories.Diagram.Cocone.Properties.html#2011" class="Bound">K′</a><a id="2035" class="Symbol">)</a> <a id="2037" class="Symbol">→</a> <a id="2039" href="Categories.Diagram.Cocone.html#684" class="Record">CF.Cocone⇒</a> <a id="2050" class="Symbol">(</a><a id="2051" href="Categories.Diagram.Cocone.Properties.html#1869" class="Function">nat-map-Cocone</a> <a id="2066" href="Categories.Diagram.Cocone.Properties.html#2009" class="Bound">K</a><a id="2067" class="Symbol">)</a> <a id="2069" class="Symbol">(</a><a id="2070" href="Categories.Diagram.Cocone.Properties.html#1869" class="Function">nat-map-Cocone</a> <a id="2085" href="Categories.Diagram.Cocone.Properties.html#2011" class="Bound">K′</a><a id="2087" class="Symbol">)</a>
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<a id="2091" href="Categories.Diagram.Cocone.Properties.html#1988" class="Function">nat-map-Cocone⇒</a> <a id="2107" href="Categories.Diagram.Cocone.Properties.html#2107" class="Bound">f</a> <a id="2109" class="Symbol">=</a> <a id="2111" href="Categories.Diagram.Duality.html#3633" class="Function">coCone⇒⇒Cocone⇒</a> <a id="2127" href="Categories.Diagram.Cocone.Properties.html#1727" class="Bound">C</a> <a id="2129" class="Symbol">(</a><a id="2130" href="Categories.Diagram.Cone.Properties.html#2317" class="Function">nat-map-Cone⇒</a> <a id="2144" href="Categories.NaturalTransformation.Core.html#1114" class="Function">α.op</a> <a id="2149" class="Symbol">(</a><a id="2150" href="Categories.Diagram.Duality.html#3831" class="Function">Cocone⇒⇒coCone⇒</a> <a id="2166" href="Categories.Diagram.Cocone.Properties.html#1727" class="Bound">C</a> <a id="2168" href="Categories.Diagram.Cocone.Properties.html#2107" class="Bound">f</a><a id="2169" class="Symbol">))</a>
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</pre></body></html>
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