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<html><head><meta charset="utf-8"><title>Categories.Category.Construction.Kleisli</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="91" class="Keyword">open</a> <a id="96" class="Keyword">import</a> <a id="103" href="Level.html" class="Module">Level</a>
<a id="110" class="Keyword">open</a> <a id="115" class="Keyword">import</a> <a id="122" href="Categories.Category.html" class="Module">Categories.Category</a>
<a id="142" class="Keyword">open</a> <a id="147" class="Keyword">import</a> <a id="154" href="Categories.Functor.html" class="Module">Categories.Functor</a> <a id="173" class="Keyword">using</a> <a id="179" class="Symbol">(</a><a id="180" href="Categories.Functor.Core.html#248" class="Record">Functor</a><a id="187" class="Symbol">;</a> <a id="189" class="Keyword">module</a> <a id="196" href="Categories.Functor.Core.html#248" class="Module">Functor</a><a id="203" class="Symbol">)</a>
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<a id="661" class="Symbol">;</a> <a id="663" href="Categories.Category.Core.html#1096" class="Field">identityˡ</a> <a id="673" class="Symbol">=</a> <a id="675" href="Categories.Category.Construction.Kleisli.html#1570" class="Function">identityˡ′</a>
<a id="688" class="Symbol">;</a> <a id="690" href="Categories.Category.Core.html#1145" class="Field">identityʳ</a> <a id="700" class="Symbol">=</a> <a id="702" href="Categories.Category.Construction.Kleisli.html#1685" class="Function">identityʳ′</a>
<a id="715" class="Symbol">;</a> <a id="717" href="Categories.Category.Core.html#1339" class="Field">identity²</a> <a id="727" class="Symbol">=</a> <a id="729" href="Categories.Category.Construction.Kleisli.html#1941" class="Function">identity²′</a>
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<a id="764" class="Symbol">;</a> <a id="766" href="Categories.Category.Core.html#1438" class="Field">∘-resp-≈</a> <a id="776" class="Symbol">=</a> <a id="778" class="Symbol">λ</a> <a id="780" href="Categories.Category.Construction.Kleisli.html#780" class="Bound">f≈h</a> <a id="784" href="Categories.Category.Construction.Kleisli.html#784" class="Bound">g≈i</a> <a id="788" class="Symbol">→</a> <a id="790" href="Categories.Category.Core.html#1438" class="Function">∘-resp-≈</a> <a id="799" class="Symbol">(</a><a id="800" href="Categories.Category.Core.html#1706" class="Function">∘-resp-≈ʳ</a> <a id="810" class="Symbol">(</a><a id="811" href="Categories.Functor.Core.html#696" class="Function">F-resp-≈</a> <a id="820" href="Categories.Category.Construction.Kleisli.html#780" class="Bound">f≈h</a><a id="823" class="Symbol">))</a> <a id="826" href="Categories.Category.Construction.Kleisli.html#784" class="Bound">g≈i</a>
<a id="832" class="Symbol">}</a>
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<a id="865" class="Keyword">open</a> <a id="870" href="Categories.Category.Construction.Kleisli.html#851" class="Module">M</a> <a id="872" class="Keyword">using</a> <a id="878" class="Symbol">(</a><a id="879" href="Categories.Monad.html#583" class="Field">μ</a><a id="880" class="Symbol">;</a> <a id="882" href="Categories.Monad.html#547" class="Field">η</a><a id="883" class="Symbol">;</a> <a id="885" href="Categories.Monad.html#525" class="Field">F</a><a id="886" class="Symbol">)</a>
<a id="890" class="Keyword">open</a> <a id="895" href="Categories.Functor.Core.html#248" class="Module">Functor</a> <a id="903" href="Categories.Monad.html#525" class="Field">F</a>
<a id="907" class="Keyword">open</a> <a id="912" href="Categories.Category.Core.html#442" class="Module">Category</a> <a id="921" href="Categories.Category.Construction.Kleisli.html#449" class="Bound">𝒞</a>
<a id="925" class="Keyword">open</a> <a id="930" href="Categories.Category.Core.html#2462" class="Module">HomReasoning</a>
<a id="945" class="Keyword">open</a> <a id="950" href="Categories.Morphism.Reasoning.Core.html" class="Module">MR</a> <a id="953" href="Categories.Category.Construction.Kleisli.html#449" class="Bound">𝒞</a>
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<a id="1165" class="Symbol">(</a><a id="1166" href="Categories.NaturalTransformation.Core.html#783" class="Function">μ.η</a> <a id="1170" href="Categories.Category.Construction.Kleisli.html#1138" class="Bound">D</a> <a id="1172" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1174" href="Categories.Functor.Core.html#455" class="Function">F₁</a> <a id="1177" class="Symbol">((</a><a id="1179" href="Categories.NaturalTransformation.Core.html#783" class="Function">μ.η</a> <a id="1183" href="Categories.Category.Construction.Kleisli.html#1138" class="Bound">D</a> <a id="1185" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1187" href="Categories.Functor.Core.html#455" class="Function">F₁</a> <a id="1190" href="Categories.Category.Construction.Kleisli.html#1150" class="Bound">h</a><a id="1191" class="Symbol">)</a> <a id="1193" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1195" href="Categories.Category.Construction.Kleisli.html#1146" class="Bound">g</a><a id="1196" class="Symbol">))</a> <a id="1199" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1201" href="Categories.Category.Construction.Kleisli.html#1142" class="Bound">f</a> <a id="1213" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="1216" href="Categories.Morphism.Reasoning.Core.html#2347" class="Function">pushʳ</a> <a id="1222" href="Categories.Functor.Core.html#565" class="Function">homomorphism</a> <a id="1235" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="1243" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
<a id="1249" class="Symbol">((</a><a id="1251" href="Categories.NaturalTransformation.Core.html#783" class="Function">μ.η</a> <a id="1255" href="Categories.Category.Construction.Kleisli.html#1138" class="Bound">D</a> <a id="1257" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1259" href="Categories.Functor.Core.html#455" class="Function">F₁</a> <a id="1262" class="Symbol">(</a><a id="1263" href="Categories.NaturalTransformation.Core.html#783" class="Function">μ.η</a> <a id="1267" href="Categories.Category.Construction.Kleisli.html#1138" class="Bound">D</a> <a id="1269" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1271" href="Categories.Functor.Core.html#455" class="Function">F₁</a> <a id="1274" href="Categories.Category.Construction.Kleisli.html#1150" class="Bound">h</a><a id="1275" class="Symbol">))</a> <a id="1278" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1280" href="Categories.Functor.Core.html#455" class="Function">F₁</a> <a id="1283" href="Categories.Category.Construction.Kleisli.html#1146" class="Bound">g</a><a id="1284" class="Symbol">)</a> <a id="1286" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1288" href="Categories.Category.Construction.Kleisli.html#1142" class="Bound">f</a> <a id="1297" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="1300" href="Categories.Morphism.Reasoning.Core.html#2485" class="Function">pushˡ</a> <a id="1306" class="Symbol">(</a><a id="1307" href="Categories.Category.Core.html#1597" class="Function">∘-resp-≈ˡ</a> <a id="1317" class="Symbol">(</a><a id="1318" href="Categories.Category.Core.html#1706" class="Function">∘-resp-≈ʳ</a> <a id="1328" href="Categories.Functor.Core.html#565" class="Function">homomorphism</a><a id="1340" class="Symbol">))</a> <a id="1343" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
<a id="1349" class="Symbol">(</a><a id="1350" href="Categories.NaturalTransformation.Core.html#783" class="Function">μ.η</a> <a id="1354" href="Categories.Category.Construction.Kleisli.html#1138" class="Bound">D</a> <a id="1356" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1358" class="Symbol">(</a><a id="1359" href="Categories.Functor.Core.html#455" class="Function">F₁</a> <a id="1362" class="Symbol">(</a><a id="1363" href="Categories.NaturalTransformation.Core.html#783" class="Function">μ.η</a> <a id="1367" href="Categories.Category.Construction.Kleisli.html#1138" class="Bound">D</a><a id="1368" class="Symbol">)</a> <a id="1370" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1372" href="Categories.Functor.Core.html#455" class="Function">F₁</a> <a id="1375" class="Symbol">(</a><a id="1376" href="Categories.Functor.Core.html#455" class="Function">F₁</a> <a id="1379" href="Categories.Category.Construction.Kleisli.html#1150" class="Bound">h</a><a id="1380" class="Symbol">)))</a> <a id="1384" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1386" class="Symbol">(</a><a id="1387" href="Categories.Functor.Core.html#455" class="Function">F₁</a> <a id="1390" href="Categories.Category.Construction.Kleisli.html#1146" class="Bound">g</a> <a id="1392" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1394" href="Categories.Category.Construction.Kleisli.html#1142" class="Bound">f</a><a id="1395" class="Symbol">)</a> <a id="1397" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="1400" href="Categories.Morphism.Reasoning.Core.html#2485" class="Function">pushˡ</a> <a id="1406" class="Symbol">(</a><a id="1407" href="Categories.Morphism.Reasoning.Core.html#4688" class="Function">glue′</a> <a id="1413" href="Categories.Monad.html#759" class="Field">M.assoc</a> <a id="1421" class="Symbol">(</a><a id="1422" href="Categories.NaturalTransformation.Core.html#827" class="Function">μ.commute</a> <a id="1432" href="Categories.Category.Construction.Kleisli.html#1150" class="Bound">h</a><a id="1433" class="Symbol">))</a> <a id="1436" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
<a id="1442" class="Symbol">(</a><a id="1443" href="Categories.NaturalTransformation.Core.html#783" class="Function">μ.η</a> <a id="1447" href="Categories.Category.Construction.Kleisli.html#1138" class="Bound">D</a> <a id="1449" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1451" href="Categories.Functor.Core.html#455" class="Function">F₁</a> <a id="1454" href="Categories.Category.Construction.Kleisli.html#1150" class="Bound">h</a><a id="1455" class="Symbol">)</a> <a id="1457" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1459" class="Symbol">(</a><a id="1460" href="Categories.NaturalTransformation.Core.html#783" class="Function">μ.η</a> <a id="1464" href="Categories.Category.Construction.Kleisli.html#1134" class="Bound">C</a> <a id="1466" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1468" class="Symbol">(</a><a id="1469" href="Categories.Functor.Core.html#455" class="Function">F₁</a> <a id="1472" href="Categories.Category.Construction.Kleisli.html#1146" class="Bound">g</a> <a id="1474" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1476" href="Categories.Category.Construction.Kleisli.html#1142" class="Bound">f</a><a id="1477" class="Symbol">))</a> <a id="1490" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="1493" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="1501" href="Categories.Category.Core.html#1004" class="Function">sym-assoc</a> <a id="1511" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
<a id="1517" class="Symbol">(</a><a id="1518" href="Categories.NaturalTransformation.Core.html#783" class="Function">μ.η</a> <a id="1522" href="Categories.Category.Construction.Kleisli.html#1138" class="Bound">D</a> <a id="1524" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1526" href="Categories.Functor.Core.html#455" class="Function">F₁</a> <a id="1529" href="Categories.Category.Construction.Kleisli.html#1150" class="Bound">h</a><a id="1530" class="Symbol">)</a> <a id="1532" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1534" class="Symbol">((</a><a id="1536" href="Categories.NaturalTransformation.Core.html#783" class="Function">μ.η</a> <a id="1540" href="Categories.Category.Construction.Kleisli.html#1134" class="Bound">C</a> <a id="1542" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1544" href="Categories.Functor.Core.html#455" class="Function">F₁</a> <a id="1547" href="Categories.Category.Construction.Kleisli.html#1146" class="Bound">g</a><a id="1548" class="Symbol">)</a> <a id="1550" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1552" href="Categories.Category.Construction.Kleisli.html#1142" class="Bound">f</a><a id="1553" class="Symbol">)</a> <a id="1565" href="Relation.Binary.Reasoning.Syntax.html#12283" class="Function Operator">∎</a>
<a id="1570" href="Categories.Category.Construction.Kleisli.html#1570" class="Function">identityˡ′</a> <a id="1581" class="Symbol">:</a> <a id="1583" class="Symbol">∀</a> <a id="1585" class="Symbol">{</a><a id="1586" href="Categories.Category.Construction.Kleisli.html#1586" class="Bound">A</a> <a id="1588" href="Categories.Category.Construction.Kleisli.html#1588" class="Bound">B</a><a id="1589" class="Symbol">}</a> <a id="1591" class="Symbol">{</a><a id="1592" href="Categories.Category.Construction.Kleisli.html#1592" class="Bound">f</a> <a id="1594" class="Symbol">:</a> <a id="1596" href="Categories.Category.Construction.Kleisli.html#1586" class="Bound">A</a> <a id="1598" href="Categories.Category.Core.html#575" class="Function Operator">⇒</a> <a id="1600" href="Categories.Functor.Core.html#432" class="Function">F₀</a> <a id="1603" href="Categories.Category.Construction.Kleisli.html#1588" class="Bound">B</a><a id="1604" class="Symbol">}</a> <a id="1606" class="Symbol">→</a> <a id="1608" class="Symbol">(</a><a id="1609" href="Categories.NaturalTransformation.Core.html#783" class="Function">μ.η</a> <a id="1613" href="Categories.Category.Construction.Kleisli.html#1588" class="Bound">B</a> <a id="1615" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1617" href="Categories.Functor.Core.html#455" class="Function">F₁</a> <a id="1620" class="Symbol">(</a><a id="1621" href="Categories.NaturalTransformation.Core.html#783" class="Function">η.η</a> <a id="1625" href="Categories.Category.Construction.Kleisli.html#1588" class="Bound">B</a><a id="1626" class="Symbol">))</a> <a id="1629" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1631" href="Categories.Category.Construction.Kleisli.html#1592" class="Bound">f</a> <a id="1633" href="Categories.Category.Core.html#595" class="Function Operator">≈</a> <a id="1635" href="Categories.Category.Construction.Kleisli.html#1592" class="Bound">f</a>
<a id="1639" href="Categories.Category.Construction.Kleisli.html#1570" class="Function">identityˡ′</a> <a id="1650" class="Symbol">{</a><a id="1651" href="Categories.Category.Construction.Kleisli.html#1651" class="Bound">A</a><a id="1652" class="Symbol">}</a> <a id="1654" class="Symbol">{</a><a id="1655" href="Categories.Category.Construction.Kleisli.html#1655" class="Bound">B</a><a id="1656" class="Symbol">}</a> <a id="1658" class="Symbol">{</a><a id="1659" href="Categories.Category.Construction.Kleisli.html#1659" class="Bound">f</a><a id="1660" class="Symbol">}</a> <a id="1662" class="Symbol">=</a> <a id="1664" href="Categories.Morphism.Reasoning.Core.html#2948" class="Function">elimˡ</a> <a id="1670" href="Categories.Monad.html#899" class="Field">M.identityˡ</a>
<a id="1685" href="Categories.Category.Construction.Kleisli.html#1685" class="Function">identityʳ′</a> <a id="1696" class="Symbol">:</a> <a id="1698" class="Symbol">∀</a> <a id="1700" class="Symbol">{</a><a id="1701" href="Categories.Category.Construction.Kleisli.html#1701" class="Bound">A</a> <a id="1703" href="Categories.Category.Construction.Kleisli.html#1703" class="Bound">B</a><a id="1704" class="Symbol">}</a> <a id="1706" class="Symbol">{</a><a id="1707" href="Categories.Category.Construction.Kleisli.html#1707" class="Bound">f</a> <a id="1709" class="Symbol">:</a> <a id="1711" href="Categories.Category.Construction.Kleisli.html#1701" class="Bound">A</a> <a id="1713" href="Categories.Category.Core.html#575" class="Function Operator">⇒</a> <a id="1715" href="Categories.Functor.Core.html#432" class="Function">F₀</a> <a id="1718" href="Categories.Category.Construction.Kleisli.html#1703" class="Bound">B</a><a id="1719" class="Symbol">}</a> <a id="1721" class="Symbol">→</a> <a id="1723" class="Symbol">(</a><a id="1724" href="Categories.NaturalTransformation.Core.html#783" class="Function">μ.η</a> <a id="1728" href="Categories.Category.Construction.Kleisli.html#1703" class="Bound">B</a> <a id="1730" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1732" href="Categories.Functor.Core.html#455" class="Function">F₁</a> <a id="1735" href="Categories.Category.Construction.Kleisli.html#1707" class="Bound">f</a><a id="1736" class="Symbol">)</a> <a id="1738" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1740" href="Categories.NaturalTransformation.Core.html#783" class="Function">η.η</a> <a id="1744" href="Categories.Category.Construction.Kleisli.html#1701" class="Bound">A</a> <a id="1746" href="Categories.Category.Core.html#595" class="Function Operator">≈</a> <a id="1748" href="Categories.Category.Construction.Kleisli.html#1707" class="Bound">f</a>
<a id="1752" href="Categories.Category.Construction.Kleisli.html#1685" class="Function">identityʳ′</a> <a id="1763" class="Symbol">{</a><a id="1764" href="Categories.Category.Construction.Kleisli.html#1764" class="Bound">A</a><a id="1765" class="Symbol">}</a> <a id="1767" class="Symbol">{</a><a id="1768" href="Categories.Category.Construction.Kleisli.html#1768" class="Bound">B</a><a id="1769" class="Symbol">}</a> <a id="1771" class="Symbol">{</a><a id="1772" href="Categories.Category.Construction.Kleisli.html#1772" class="Bound">f</a><a id="1773" class="Symbol">}</a> <a id="1775" class="Symbol">=</a> <a id="1777" href="Relation.Binary.Reasoning.Syntax.html#1510" class="Function Operator">begin</a>
<a id="1791" class="Symbol">(</a><a id="1792" href="Categories.NaturalTransformation.Core.html#783" class="Function">μ.η</a> <a id="1796" href="Categories.Category.Construction.Kleisli.html#1768" class="Bound">B</a> <a id="1798" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1800" href="Categories.Functor.Core.html#455" class="Function">F₁</a> <a id="1803" href="Categories.Category.Construction.Kleisli.html#1772" class="Bound">f</a><a id="1804" class="Symbol">)</a> <a id="1806" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1808" href="Categories.NaturalTransformation.Core.html#783" class="Function">η.η</a> <a id="1812" href="Categories.Category.Construction.Kleisli.html#1764" class="Bound">A</a> <a id="1817" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">≈˘⟨</a> <a id="1821" href="Categories.Morphism.Reasoning.Core.html#3392" class="Function">extendˡ</a> <a id="1829" class="Symbol">(</a><a id="1830" href="Categories.NaturalTransformation.Core.html#827" class="Function">η.commute</a> <a id="1840" href="Categories.Category.Construction.Kleisli.html#1772" class="Bound">f</a><a id="1841" class="Symbol">)</a> <a id="1843" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">⟩</a>
<a id="1853" class="Symbol">(</a><a id="1854" href="Categories.NaturalTransformation.Core.html#783" class="Function">μ.η</a> <a id="1858" href="Categories.Category.Construction.Kleisli.html#1768" class="Bound">B</a> <a id="1860" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1862" href="Categories.NaturalTransformation.Core.html#783" class="Function">η.η</a> <a id="1866" class="Symbol">(</a><a id="1867" href="Categories.Functor.Core.html#432" class="Function">F₀</a> <a id="1870" href="Categories.Category.Construction.Kleisli.html#1768" class="Bound">B</a><a id="1871" class="Symbol">))</a> <a id="1874" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1876" href="Categories.Category.Construction.Kleisli.html#1772" class="Bound">f</a> <a id="1879" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="1882" href="Categories.Morphism.Reasoning.Core.html#2948" class="Function">elimˡ</a> <a id="1888" href="Categories.Monad.html#953" class="Field">M.identityʳ</a> <a id="1900" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
<a id="1910" href="Categories.Category.Construction.Kleisli.html#1772" class="Bound">f</a> <a id="1936" href="Relation.Binary.Reasoning.Syntax.html#12283" class="Function Operator">∎</a>
<a id="1941" href="Categories.Category.Construction.Kleisli.html#1941" class="Function">identity²′</a> <a id="1952" class="Symbol">:</a> <a id="1954" class="Symbol">{</a><a id="1955" href="Categories.Category.Construction.Kleisli.html#1955" class="Bound">A</a> <a id="1957" class="Symbol">:</a> <a id="1959" href="Categories.Category.Core.html#559" class="Function">Obj</a><a id="1962" class="Symbol">}</a> <a id="1964" class="Symbol">→</a> <a id="1966" class="Symbol">(</a><a id="1967" href="Categories.NaturalTransformation.Core.html#783" class="Function">μ.η</a> <a id="1971" href="Categories.Category.Construction.Kleisli.html#1955" class="Bound">A</a> <a id="1973" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1975" href="Categories.Functor.Core.html#455" class="Function">F₁</a> <a id="1978" class="Symbol">(</a><a id="1979" href="Categories.NaturalTransformation.Core.html#783" class="Function">η.η</a> <a id="1983" href="Categories.Category.Construction.Kleisli.html#1955" class="Bound">A</a><a id="1984" class="Symbol">))</a> <a id="1987" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1989" href="Categories.NaturalTransformation.Core.html#783" class="Function">η.η</a> <a id="1993" href="Categories.Category.Construction.Kleisli.html#1955" class="Bound">A</a> <a id="1995" href="Categories.Category.Core.html#595" class="Function Operator">≈</a> <a id="1997" href="Categories.NaturalTransformation.Core.html#783" class="Function">η.η</a> <a id="2001" href="Categories.Category.Construction.Kleisli.html#1955" class="Bound">A</a>
<a id="2005" href="Categories.Category.Construction.Kleisli.html#1941" class="Function">identity²′</a> <a id="2016" class="Symbol">=</a> <a id="2018" href="Categories.Morphism.Reasoning.Core.html#2948" class="Function">elimˡ</a> <a id="2024" href="Categories.Monad.html#899" class="Field">M.identityˡ</a>
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