bsc-leon-vatthauer/agda/bsc-thesis/Monad.Instance.Delay.Strong.md

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<pre class="Agda"><a id="664" class="Keyword">module</a> <a id="671" href="Monad.Instance.Delay.Strong.html" class="Module">Monad.Instance.Delay.Strong</a> <a id="699" class="Symbol">{</a><a id="700" href="Monad.Instance.Delay.Strong.html#700" class="Bound">o</a> <a id="702" href="Monad.Instance.Delay.Strong.html#702" class="Bound">ℓ</a> <a id="704" href="Monad.Instance.Delay.Strong.html#704" class="Bound">e</a><a id="705" class="Symbol">}</a> <a id="707" class="Symbol">(</a><a id="708" href="Monad.Instance.Delay.Strong.html#708" class="Bound">ambient</a> <a id="716" class="Symbol">:</a> <a id="718" href="Category.Ambient.html#1681" class="Record">Ambient</a> <a id="726" href="Monad.Instance.Delay.Strong.html#700" class="Bound">o</a> <a id="728" href="Monad.Instance.Delay.Strong.html#702" class="Bound">ℓ</a> <a id="730" href="Monad.Instance.Delay.Strong.html#704" class="Bound">e</a><a id="731" class="Symbol">)</a> <a id="733" class="Symbol">(</a><a id="734" href="Monad.Instance.Delay.Strong.html#734" class="Bound">D</a> <a id="736" class="Symbol">:</a> <a id="738" href="Monad.Instance.Delay.html#1692" class="Record">DelayM</a> <a id="745" href="Monad.Instance.Delay.Strong.html#708" class="Bound">ambient</a><a id="752" class="Symbol">)</a> <a id="754" class="Keyword">where</a>
  <a id="762" class="Keyword">open</a> <a id="767" href="Category.Ambient.html#1681" class="Module">Ambient</a> <a id="775" href="Monad.Instance.Delay.Strong.html#708" class="Bound">ambient</a>
  <a id="785" class="Keyword">open</a> <a id="790" href="Categories.Category.Core.html#2462" class="Module">HomReasoning</a>
  <a id="805" class="Keyword">open</a> <a id="810" href="Categories.Category.Core.html#1530" class="Module">Equiv</a>
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  <a id="830" class="Keyword">open</a> <a id="835" href="Category.Ambient.html#9087" class="Module">MR</a> <a id="838" href="Category.Ambient.html#1757" class="Function">C</a>
  <a id="842" class="Keyword">open</a> <a id="847" href="Category.Ambient.html#9069" class="Module">M</a> <a id="849" href="Category.Ambient.html#1757" class="Function">C</a>
  <a id="853" class="Keyword">open</a> <a id="858" href="Categories.Functor.Coalgebra.html#1350" class="Module">F-Coalgebra-Morphism</a> <a id="879" class="Keyword">renaming</a> <a id="888" class="Symbol">(</a><a id="889" href="Categories.Functor.Coalgebra.html#1411" class="Field">f</a> <a id="891" class="Symbol">to</a> <a id="894" class="Field">u</a><a id="895" class="Symbol">)</a>
</pre>
# The Delay Monad is strong

<pre class="Agda">  <a id="941" class="Keyword">module</a> <a id="948" href="Monad.Instance.Delay.Strong.html#948" class="Module">_</a> <a id="950" class="Keyword">where</a>
    <a id="960" class="Keyword">open</a> <a id="965" href="Monad.Instance.Delay.html#1692" class="Module">DelayM</a> <a id="972" href="Monad.Instance.Delay.Strong.html#734" class="Bound">D</a>
    <a id="978" class="Keyword">open</a> <a id="983" href="Categories.Functor.Core.html#248" class="Module">Functor</a>
    <a id="995" class="Keyword">open</a> <a id="1000" href="Monad.Instance.Delay.Strong.html#397" class="Module">RMonad</a> <a id="1007" href="Monad.Instance.Delay.html#19476" class="Function">kleisli</a> <a id="1015" class="Keyword">using</a> <a id="1021" class="Symbol">(</a><a id="1022" href="Categories.Monad.Relative.html#895" class="Field">extend</a><a id="1028" class="Symbol">;</a> <a id="1030" href="Categories.Monad.Relative.html#1306" class="Field">extend-≈</a><a id="1038" class="Symbol">)</a> <a id="1040" class="Keyword">renaming</a> <a id="1049" class="Symbol">(</a><a id="1050" href="Categories.Monad.Relative.html#1078" class="Field">assoc</a> <a id="1056" class="Symbol">to</a> <a id="1059" class="Field">k-assoc</a><a id="1066" class="Symbol">;</a> <a id="1068" href="Categories.Monad.Relative.html#953" class="Field">identityʳ</a> <a id="1078" class="Symbol">to</a> <a id="1081" class="Field">k-identityʳ</a><a id="1092" class="Symbol">)</a>
    <a id="1098" class="Keyword">open</a> <a id="1103" href="Categories.Monad.html#454" class="Module">Monad</a> <a id="1109" href="Monad.Instance.Delay.html#23281" class="Function">monad</a> <a id="1115" class="Keyword">using</a> <a id="1121" class="Symbol">(</a><a id="1122" href="Categories.Monad.html#547" class="Field">η</a><a id="1123" class="Symbol">;</a> <a id="1125" href="Categories.Monad.html#583" class="Field">μ</a><a id="1126" class="Symbol">)</a>

    <a id="1133" class="Comment">-- TODO change &#39;coinduction&#39; proofs, move the two proofs i.e. f ≈ ! and ! ≈ g to the where clause</a>
    <a id="1235" class="Keyword">module</a> <a id="1242" href="Monad.Instance.Delay.Strong.html#1242" class="Module">τ-mod</a> <a id="1248" class="Symbol">(</a><a id="1249" href="Monad.Instance.Delay.Strong.html#1249" class="Bound">P</a> <a id="1251" class="Symbol">:</a> <a id="1253" href="Categories.Category.Core.html#559" class="Field">Category.Obj</a> <a id="1266" class="Symbol">(</a><a id="1267" href="Monad.Instance.Delay.Strong.html#624" class="Function">CProduct</a> <a id="1276" href="Category.Ambient.html#1757" class="Function">C</a> <a id="1278" href="Category.Ambient.html#1757" class="Function">C</a><a id="1279" class="Symbol">))</a> <a id="1282" class="Keyword">where</a>
      <a id="1294" class="Keyword">private</a>
        <a id="1310" href="Monad.Instance.Delay.Strong.html#1310" class="Function">X</a> <a id="1312" class="Symbol">=</a> <a id="1314" href="Data.Product.Base.html#636" class="Field">proj₁</a> <a id="1320" href="Monad.Instance.Delay.Strong.html#1249" class="Bound">P</a>
        <a id="1330" href="Monad.Instance.Delay.Strong.html#1330" class="Function">Y</a> <a id="1332" class="Symbol">=</a> <a id="1334" href="Data.Product.Base.html#650" class="Field">proj₂</a> <a id="1340" href="Monad.Instance.Delay.Strong.html#1249" class="Bound">P</a>
      <a id="1348" class="Keyword">open</a> <a id="1353" href="Categories.Object.Terminal.html#860" class="Module">Terminal</a> <a id="1362" class="Symbol">(</a><a id="1363" href="Monad.Instance.Delay.html#1739" class="Field">coalgebras</a> <a id="1374" class="Symbol">(</a><a id="1375" href="Monad.Instance.Delay.Strong.html#1310" class="Function">X</a> <a id="1377" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="1379" href="Monad.Instance.Delay.Strong.html#1330" class="Function">Y</a><a id="1380" class="Symbol">))</a>

      <a id="1390" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="1392" class="Symbol">:</a> <a id="1394" href="Monad.Instance.Delay.Strong.html#1310" class="Function">X</a> <a id="1396" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="1398" href="Monad.Instance.Delay.html#7773" class="Function">D₀</a> <a id="1401" href="Monad.Instance.Delay.Strong.html#1330" class="Function">Y</a> <a id="1403" href="Categories.Category.Core.html#575" class="Function Operator">⇒</a> <a id="1405" href="Monad.Instance.Delay.html#7773" class="Function">D₀</a> <a id="1408" class="Symbol">(</a><a id="1409" href="Monad.Instance.Delay.Strong.html#1310" class="Function">X</a> <a id="1411" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="1413" href="Monad.Instance.Delay.Strong.html#1330" class="Function">Y</a><a id="1414" class="Symbol">)</a>
      <a id="1422" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="1424" class="Symbol">=</a> <a id="1426" href="Monad.Instance.Delay.Strong.html#894" class="Field">u</a> <a id="1428" class="Symbol">(</a><a id="1429" href="Categories.Object.Terminal.html#577" class="Function">!</a> <a id="1431" class="Symbol">{</a><a id="1432" class="Argument">A</a> <a id="1434" class="Symbol">=</a> <a id="1436" class="Keyword">record</a> <a id="1443" class="Symbol">{</a> <a id="1445" href="Categories.Functor.Coalgebra.html#571" class="Field">A</a> <a id="1447" class="Symbol">=</a> <a id="1449" href="Monad.Instance.Delay.Strong.html#1310" class="Function">X</a> <a id="1451" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="1453" href="Monad.Instance.Delay.html#7773" class="Function">D₀</a> <a id="1456" href="Monad.Instance.Delay.Strong.html#1330" class="Function">Y</a> <a id="1458" class="Symbol">;</a> <a id="1460" href="Categories.Functor.Coalgebra.html#585" class="Field">α</a> <a id="1462" class="Symbol">=</a> <a id="1464" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="1478" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1480" class="Symbol">(</a><a id="1481" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="1485" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="1487" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="1490" class="Symbol">)</a> <a id="1492" class="Symbol">}})</a>

      <a id="1503" href="Monad.Instance.Delay.Strong.html#1503" class="Function">τ-law</a> <a id="1509" class="Symbol">:</a> <a id="1511" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="1515" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1517" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="1519" href="Categories.Category.Core.html#595" class="Function Operator">≈</a> <a id="1521" class="Symbol">(</a><a id="1522" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="1526" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="1529" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a><a id="1530" class="Symbol">)</a> <a id="1532" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1534" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="1548" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1550" class="Symbol">(</a><a id="1551" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="1555" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="1557" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="1560" class="Symbol">)</a>
      <a id="1568" href="Monad.Instance.Delay.Strong.html#1503" class="Function">τ-law</a> <a id="1574" class="Symbol">=</a> <a id="1576" href="Categories.Functor.Coalgebra.html#1433" class="Field">commutes</a> <a id="1585" class="Symbol">(</a><a id="1586" href="Categories.Object.Terminal.html#577" class="Function">!</a> <a id="1588" class="Symbol">{</a><a id="1589" class="Argument">A</a> <a id="1591" class="Symbol">=</a> <a id="1593" class="Keyword">record</a> <a id="1600" class="Symbol">{</a> <a id="1602" href="Categories.Functor.Coalgebra.html#571" class="Field">A</a> <a id="1604" class="Symbol">=</a> <a id="1606" href="Monad.Instance.Delay.Strong.html#1310" class="Function">X</a> <a id="1608" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="1610" href="Monad.Instance.Delay.html#7773" class="Function">D₀</a> <a id="1613" href="Monad.Instance.Delay.Strong.html#1330" class="Function">Y</a> <a id="1615" class="Symbol">;</a> <a id="1617" href="Categories.Functor.Coalgebra.html#585" class="Field">α</a> <a id="1619" class="Symbol">=</a> <a id="1621" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="1635" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1637" class="Symbol">(</a><a id="1638" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="1642" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="1644" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="1647" class="Symbol">)</a> <a id="1649" class="Symbol">}})</a>

      <a id="1660" href="Monad.Instance.Delay.Strong.html#1660" class="Function">τ-helper</a> <a id="1669" class="Symbol">:</a> <a id="1671" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="1673" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1675" class="Symbol">(</a><a id="1676" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="1680" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="1682" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a><a id="1687" class="Symbol">)</a> <a id="1689" href="Categories.Category.Core.html#595" class="Function Operator">≈</a> <a id="1691" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="1697" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1699" class="Symbol">(</a><a id="1700" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="1704" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="1707" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a><a id="1708" class="Symbol">)</a> <a id="1710" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1712" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a>
      <a id="1732" href="Monad.Instance.Delay.Strong.html#1660" class="Function">τ-helper</a> <a id="1741" class="Symbol">=</a> <a id="1743" href="Relation.Binary.Reasoning.Syntax.html#1510" class="Function Operator">begin</a> 
        <a id="1758" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="1760" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1762" class="Symbol">(</a><a id="1763" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="1767" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="1769" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a><a id="1774" class="Symbol">)</a>                                                  <a id="1825" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="1828" href="Categories.Morphism.Reasoning.Core.html#3063" class="Function">introˡ</a> <a id="1835" class="Symbol">(</a><a id="1836" href="Categories.Morphism.html#1586" class="Function">_≅_.isoˡ</a> <a id="1845" href="Monad.Instance.Delay.html#1952" class="Function">out-≅</a><a id="1850" class="Symbol">)</a> <a id="1852" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="1863" class="Symbol">(</a><a id="1864" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="1870" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1872" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="1875" class="Symbol">)</a> <a id="1877" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1879" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="1881" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1883" class="Symbol">(</a><a id="1884" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="1888" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="1890" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a><a id="1895" class="Symbol">)</a>                                  <a id="1930" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="1933" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="1939" class="Symbol">(</a><a id="1940" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="1946" href="Monad.Instance.Delay.Strong.html#1503" class="Function">τ-law</a><a id="1951" class="Symbol">)</a> <a id="1953" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
        <a id="1963" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="1969" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1971" class="Symbol">((</a><a id="1973" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="1977" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="1980" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a><a id="1981" class="Symbol">)</a> <a id="1983" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1985" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="1999" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2001" class="Symbol">(</a><a id="2002" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="2006" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="2008" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="2011" class="Symbol">))</a> <a id="2014" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2016" class="Symbol">(</a><a id="2017" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="2021" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="2023" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a><a id="2028" class="Symbol">)</a> <a id="2030" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="2033" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="2041" class="Symbol">(</a><a id="2042" href="Categories.Category.Core.html#715" class="Function">assoc</a> <a id="2048" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="2050" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="2058" href="Categories.Category.Core.html#715" class="Function">assoc</a><a id="2063" class="Symbol">)</a> <a id="2065" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
        <a id="2075" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="2081" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2083" class="Symbol">(</a><a id="2084" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="2088" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="2091" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a><a id="2092" class="Symbol">)</a> <a id="2094" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2096" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="2110" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2112" class="Symbol">(</a><a id="2113" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="2117" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="2119" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="2122" class="Symbol">)</a> <a id="2124" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2126" class="Symbol">(</a><a id="2127" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="2131" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="2133" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a><a id="2138" class="Symbol">)</a>   <a id="2142" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="2145" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="2153" class="Symbol">(</a><a id="2154" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="2162" class="Symbol">(</a><a id="2163" href="Categories.Morphism.Reasoning.Core.html#2786" class="Function">elimʳ</a> <a id="2169" class="Symbol">(</a><a id="2170" href="Categories.Category.BinaryProducts.html#2881" class="Function">⁂∘⁂</a> <a id="2174" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="2176" class="Symbol">(</a><a id="2177" href="Categories.Category.BinaryProducts.html#2515" class="Function">⁂-cong₂</a> <a id="2185" href="Categories.Category.Core.html#1339" class="Function">identity²</a> <a id="2195" class="Symbol">(</a><a id="2196" href="Categories.Morphism.html#1612" class="Function">_≅_.isoʳ</a> <a id="2205" href="Monad.Instance.Delay.html#1952" class="Function">out-≅</a><a id="2210" class="Symbol">))</a> <a id="2213" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="2215" class="Symbol">((</a><a id="2217" href="Categories.Object.Product.Core.html#854" class="Function">⟨⟩-cong₂</a> <a id="2226" href="Categories.Category.Core.html#1096" class="Function">identityˡ</a> <a id="2236" href="Categories.Category.Core.html#1096" class="Function">identityˡ</a><a id="2245" class="Symbol">)</a> <a id="2247" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="2249" href="Category.Ambient.html#2563" class="Function">⁂-η</a><a id="2252" class="Symbol">))))</a> <a id="2257" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
        <a id="2267" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="2273" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2275" class="Symbol">(</a><a id="2276" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="2280" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="2283" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a><a id="2284" class="Symbol">)</a> <a id="2286" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2288" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a>                                 <a id="2334" href="Relation.Binary.Reasoning.Syntax.html#12283" class="Function Operator">∎</a>

      <a id="2343" href="Monad.Instance.Delay.Strong.html#2343" class="Function">τ-now</a> <a id="2349" class="Symbol">:</a> <a id="2351" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="2353" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2355" class="Symbol">(</a><a id="2356" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="2360" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="2362" href="Monad.Instance.Delay.html#2135" class="Function">now</a><a id="2365" class="Symbol">)</a> <a id="2367" href="Categories.Category.Core.html#595" class="Function Operator">≈</a> <a id="2369" href="Monad.Instance.Delay.html#2135" class="Function">now</a>
      <a id="2379" href="Monad.Instance.Delay.Strong.html#2343" class="Function">τ-now</a> <a id="2385" class="Symbol">=</a> <a id="2387" href="Relation.Binary.Reasoning.Syntax.html#1510" class="Function Operator">begin</a> 
        <a id="2402" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="2404" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2406" class="Symbol">(</a><a id="2407" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="2411" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="2413" href="Monad.Instance.Delay.html#2135" class="Function">now</a><a id="2416" class="Symbol">)</a>                                   <a id="2452" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="2455" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="2463" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="2467" class="Symbol">(</a><a id="2468" href="Categories.Category.BinaryProducts.html#2881" class="Function">⁂∘⁂</a> <a id="2472" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="2474" class="Symbol">(</a><a id="2475" href="Categories.Category.BinaryProducts.html#2515" class="Function">⁂-cong₂</a> <a id="2483" href="Categories.Category.Core.html#1339" class="Function">identity²</a> <a id="2493" href="Relation.Binary.Structures.html#1596" class="Function">refl</a><a id="2497" class="Symbol">))</a> <a id="2500" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="2511" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="2513" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2515" class="Symbol">(</a><a id="2516" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="2520" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="2522" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a><a id="2527" class="Symbol">)</a> <a id="2529" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2531" class="Symbol">(</a><a id="2532" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="2536" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="2538" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a><a id="2540" class="Symbol">)</a>                    <a id="2561" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="2564" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="2570" href="Monad.Instance.Delay.Strong.html#1660" class="Function">τ-helper</a> <a id="2579" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
        <a id="2589" class="Symbol">(</a><a id="2590" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="2596" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2598" class="Symbol">(</a><a id="2599" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="2603" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="2606" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a><a id="2607" class="Symbol">)</a> <a id="2609" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2611" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a><a id="2624" class="Symbol">)</a> <a id="2626" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2628" class="Symbol">(</a><a id="2629" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="2633" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="2635" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a><a id="2637" class="Symbol">)</a> <a id="2639" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="2642" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="2648" class="Symbol">(</a><a id="2649" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="2655" href="Categories.Category.Distributive.Properties.html#827" class="Function">distributeˡ⁻¹-i₁</a><a id="2671" class="Symbol">)</a> <a id="2673" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
        <a id="2683" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="2689" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2691" class="Symbol">(</a><a id="2692" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="2696" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="2699" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a><a id="2700" class="Symbol">)</a> <a id="2702" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2704" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a>                           <a id="2733" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="2736" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="2744" href="Categories.Category.Cocartesian.html#2548" class="Function">+₁∘i₁</a> <a id="2750" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
        <a id="2760" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="2766" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2768" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="2771" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2773" href="Category.Ambient.html#2115" class="Function">idC</a>                                  <a id="2810" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="2813" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="2821" href="Categories.Category.Core.html#1145" class="Function">identityʳ</a> <a id="2831" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
        <a id="2841" href="Monad.Instance.Delay.html#2135" class="Function">now</a>                                               <a id="2891" href="Relation.Binary.Reasoning.Syntax.html#12283" class="Function Operator">∎</a>
      
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        <a id="3070" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="3072" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3074" class="Symbol">(</a><a id="3075" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="3079" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="3081" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a><a id="3086" class="Symbol">)</a> <a id="3088" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3090" class="Symbol">(</a><a id="3091" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="3095" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="3097" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="3099" class="Symbol">)</a>                    <a id="3120" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="3123" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="3129" href="Monad.Instance.Delay.Strong.html#1660" class="Function">τ-helper</a> <a id="3138" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="3149" class="Symbol">(</a><a id="3150" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="3156" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3158" class="Symbol">(</a><a id="3159" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="3163" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="3166" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a><a id="3167" class="Symbol">)</a> <a id="3169" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3171" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a><a id="3184" class="Symbol">)</a> <a id="3186" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3188" class="Symbol">(</a><a id="3189" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="3193" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="3195" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="3197" class="Symbol">)</a> <a id="3199" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="3202" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="3208" class="Symbol">(</a><a id="3209" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="3215" href="Categories.Category.Distributive.Properties.html#977" class="Function">distributeˡ⁻¹-i₂</a><a id="3231" class="Symbol">)</a> <a id="3233" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="3244" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="3250" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3252" class="Symbol">(</a><a id="3253" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="3257" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="3260" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a><a id="3261" class="Symbol">)</a> <a id="3263" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3265" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a>                           <a id="3294" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="3297" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="3305" href="Categories.Category.Cocartesian.html#2585" class="Function">+₁∘i₂</a> <a id="3311" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="3322" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="3328" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3330" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="3333" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3335" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a>                                    <a id="3372" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="3375" href="Categories.Category.Core.html#1004" class="Function">sym-assoc</a> <a id="3385" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="3396" href="Monad.Instance.Delay.html#2255" class="Function">▷</a> <a id="3398" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3400" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a>                                             <a id="3446" href="Relation.Binary.Reasoning.Syntax.html#12283" class="Function Operator">∎</a>

      <a id="3455" href="Monad.Instance.Delay.Strong.html#3455" class="Function">τ-unique</a> <a id="3464" class="Symbol">:</a> <a id="3466" class="Symbol">(</a><a id="3467" href="Monad.Instance.Delay.Strong.html#3467" class="Bound">t</a> <a id="3469" class="Symbol">:</a> <a id="3471" href="Monad.Instance.Delay.Strong.html#1310" class="Function">X</a> <a id="3473" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="3475" href="Monad.Instance.Delay.html#7773" class="Function">D₀</a> <a id="3478" href="Monad.Instance.Delay.Strong.html#1330" class="Function">Y</a> <a id="3480" href="Categories.Category.Core.html#575" class="Function Operator">⇒</a> <a id="3482" href="Monad.Instance.Delay.html#7773" class="Function">D₀</a> <a id="3485" class="Symbol">(</a><a id="3486" href="Monad.Instance.Delay.Strong.html#1310" class="Function">X</a> <a id="3488" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="3490" href="Monad.Instance.Delay.Strong.html#1330" class="Function">Y</a><a id="3491" class="Symbol">))</a> <a id="3494" class="Symbol">→</a> <a id="3496" class="Symbol">(</a><a id="3497" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="3501" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3503" href="Monad.Instance.Delay.Strong.html#3467" class="Bound">t</a> <a id="3505" href="Categories.Category.Core.html#595" class="Function Operator">≈</a> <a id="3507" class="Symbol">(</a><a id="3508" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="3512" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="3515" href="Monad.Instance.Delay.Strong.html#3467" class="Bound">t</a><a id="3516" class="Symbol">)</a> <a id="3518" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3520" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="3534" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3536" class="Symbol">(</a><a id="3537" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="3541" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="3543" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="3546" class="Symbol">))</a> <a id="3549" class="Symbol">→</a> <a id="3551" href="Monad.Instance.Delay.Strong.html#3467" class="Bound">t</a> <a id="3553" href="Categories.Category.Core.html#595" class="Function Operator">≈</a> <a id="3555" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a>
      <a id="3563" href="Monad.Instance.Delay.Strong.html#3455" class="Function">τ-unique</a> <a id="3572" href="Monad.Instance.Delay.Strong.html#3572" class="Bound">t</a> <a id="3574" href="Monad.Instance.Delay.Strong.html#3574" class="Bound">t-commutes</a> <a id="3585" class="Symbol">=</a> <a id="3587" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="3591" class="Symbol">(</a><a id="3592" href="Categories.Object.Terminal.html#605" class="Function">!-unique</a> <a id="3601" class="Symbol">(</a><a id="3602" class="Keyword">record</a> <a id="3609" class="Symbol">{</a> <a id="3611" href="Categories.Functor.Coalgebra.html#1411" class="Field">f</a> <a id="3613" class="Symbol">=</a> <a id="3615" href="Monad.Instance.Delay.Strong.html#3572" class="Bound">t</a> <a id="3617" class="Symbol">;</a> <a id="3619" href="Categories.Functor.Coalgebra.html#1433" class="Field">commutes</a> <a id="3628" class="Symbol">=</a> <a id="3630" href="Monad.Instance.Delay.Strong.html#3574" class="Bound">t-commutes</a> <a id="3641" class="Symbol">}))</a>      

    <a id="3656" class="Keyword">open</a> <a id="3661" href="Monad.Instance.Delay.Strong.html#1242" class="Module">τ-mod</a>

    <a id="3672" href="Monad.Instance.Delay.Strong.html#3672" class="Function">strength</a> <a id="3681" class="Symbol">:</a> <a id="3683" href="Categories.Monad.Strong.html#764" class="Record">Strength</a> <a id="3692" href="Category.Ambient.html#2297" class="Function">monoidal</a> <a id="3701" href="Monad.Instance.Delay.html#23281" class="Function">monad</a>
    <a id="3711" href="Monad.Instance.Delay.Strong.html#3672" class="Function">strength</a> <a id="3720" class="Symbol">=</a> <a id="3722" class="Keyword">record</a>
      <a id="3735" class="Symbol">{</a> <a id="3737" href="Categories.Monad.Strong.html#1060" class="Field">strengthen</a> <a id="3748" class="Symbol">=</a> <a id="3750" href="Categories.NaturalTransformation.Core.html#1750" class="Function">ntHelper</a> <a id="3759" class="Symbol">(</a><a id="3760" class="Keyword">record</a> 
        <a id="3776" class="Symbol">{</a> <a id="3778" href="Categories.NaturalTransformation.Core.html#1637" class="Field">η</a> <a id="3780" class="Symbol">=</a> <a id="3782" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a>
        <a id="3792" class="Symbol">;</a> <a id="3794" href="Categories.NaturalTransformation.Core.html#1681" class="Field">commute</a> <a id="3802" class="Symbol">=</a> <a id="3804" href="Monad.Instance.Delay.Strong.html#29279" class="Function">commute&#39;</a> <a id="3813" class="Symbol">})</a>
      <a id="3822" class="Symbol">;</a> <a id="3824" href="Categories.Monad.Strong.html#1268" class="Field">identityˡ</a> <a id="3834" class="Symbol">=</a> <a id="3836" href="Monad.Instance.Delay.Strong.html#4017" class="Function">identityˡ&#39;</a> <a id="3847" class="Comment">-- triangle</a>
      <a id="3865" class="Symbol">;</a> <a id="3867" href="Categories.Monad.Strong.html#1383" class="Field">η-comm</a> <a id="3874" class="Symbol">=</a> <a id="3876" class="Symbol">λ</a> <a id="3878" class="Symbol">{</a><a id="3879" href="Monad.Instance.Delay.Strong.html#3879" class="Bound">A</a><a id="3880" class="Symbol">}</a> <a id="3882" class="Symbol">{</a><a id="3883" href="Monad.Instance.Delay.Strong.html#3883" class="Bound">B</a><a id="3884" class="Symbol">}</a> <a id="3886" class="Symbol">→</a> <a id="3888" href="Monad.Instance.Delay.Strong.html#2343" class="Function">τ-now</a> <a id="3894" class="Symbol">(</a><a id="3895" href="Monad.Instance.Delay.Strong.html#3879" class="Bound">A</a> <a id="3897" href="Agda.Builtin.Sigma.html#235" class="InductiveConstructor Operator">,</a> <a id="3899" href="Monad.Instance.Delay.Strong.html#3883" class="Bound">B</a><a id="3900" class="Symbol">)</a>
      <a id="3908" class="Symbol">;</a> <a id="3910" href="Categories.Monad.Strong.html#1494" class="Field">μ-η-comm</a> <a id="3919" class="Symbol">=</a> <a id="3921" href="Monad.Instance.Delay.Strong.html#8349" class="Function">μ-η-comm&#39;</a> <a id="3931" class="Comment">-- μ-τ</a>
      <a id="3944" class="Symbol">;</a> <a id="3946" href="Categories.Monad.Strong.html#1687" class="Field">strength-assoc</a> <a id="3961" class="Symbol">=</a> <a id="3963" href="Monad.Instance.Delay.Strong.html#18333" class="Function">strength-assoc&#39;</a> <a id="3979" class="Comment">-- square</a>
      <a id="3995" class="Symbol">}</a>
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        <a id="4105" href="Monad.Instance.Delay.Strong.html#4017" class="Function">identityˡ&#39;</a> <a id="4116" class="Symbol">{</a><a id="4117" href="Monad.Instance.Delay.Strong.html#4117" class="Bound">X</a><a id="4118" class="Symbol">}</a> <a id="4120" class="Symbol">=</a> <a id="4122" href="Relation.Binary.Reasoning.Syntax.html#1510" class="Function Operator">begin</a>
          <a id="4138" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="4145" class="Symbol">(</a><a id="4146" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="4150" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4152" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a><a id="4154" class="Symbol">)</a> <a id="4156" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4158" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="4160" class="Symbol">_</a>       <a id="4168" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="4171" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="4175" class="Symbol">(</a><a id="4176" href="Categories.Object.Terminal.html#605" class="Function">Terminal.!-unique</a> <a id="4194" class="Symbol">(</a><a id="4195" href="Monad.Instance.Delay.html#1739" class="Field">coalgebras</a> <a id="4206" href="Monad.Instance.Delay.Strong.html#4117" class="Bound">X</a><a id="4207" class="Symbol">)</a> <a id="4209" class="Symbol">{</a><a id="4210" class="Argument">A</a> <a id="4212" class="Symbol">=</a> <a id="4214" class="Keyword">record</a> <a id="4221" class="Symbol">{</a> <a id="4223" href="Categories.Functor.Coalgebra.html#571" class="Field">A</a> <a id="4225" class="Symbol">=</a> <a id="4227" href="Categories.Object.Terminal.html#905" class="Field">Terminal.⊤</a> <a id="4238" href="Categories.Category.Cartesian.html#777" class="Function">terminal</a> <a id="4247" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="4249" href="Monad.Instance.Delay.html#7773" class="Function">D₀</a> <a id="4252" href="Monad.Instance.Delay.Strong.html#4117" class="Bound">X</a> <a id="4254" class="Symbol">;</a> <a id="4256" href="Categories.Functor.Coalgebra.html#585" class="Field">α</a> <a id="4258" class="Symbol">=</a> <a id="4260" class="Symbol">(</a><a id="4261" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="4264" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="4267" href="Category.Ambient.html#2115" class="Function">idC</a><a id="4270" class="Symbol">)</a> <a id="4272" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4274" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="4288" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4290" class="Symbol">(</a><a id="4291" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="4295" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="4297" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="4300" class="Symbol">)</a> <a id="4302" class="Symbol">}}</a> <a id="4305" class="Symbol">(</a><a id="4306" class="Keyword">record</a> <a id="4313" class="Symbol">{</a> <a id="4315" href="Categories.Functor.Coalgebra.html#1411" class="Field">f</a> <a id="4317" class="Symbol">=</a> <a id="4319" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="4326" class="Symbol">(</a><a id="4327" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="4331" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4333" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a><a id="4335" class="Symbol">)</a> <a id="4337" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4339" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="4341" class="Symbol">_</a> <a id="4343" class="Symbol">;</a> <a id="4345" href="Categories.Functor.Coalgebra.html#1433" class="Field">commutes</a> <a id="4354" class="Symbol">=</a> <a id="4356" href="Relation.Binary.Reasoning.Syntax.html#1510" class="Function Operator">begin</a> 
            <a id="4375" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="4379" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4381" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="4388" class="Symbol">(</a><a id="4389" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="4393" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4395" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a><a id="4397" class="Symbol">)</a> <a id="4399" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4401" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="4403" class="Symbol">_</a>                                                                                                 <a id="4501" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="4504" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="4512" class="Symbol">(</a><a id="4513" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="4521" class="Symbol">(</a><a id="4522" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="4526" href="Categories.Category.Core.html#1145" class="Function">identityʳ</a><a id="4535" class="Symbol">))</a> <a id="4538" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
            <a id="4553" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="4557" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4559" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="4566" class="Symbol">(</a><a id="4567" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="4571" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4573" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a><a id="4575" class="Symbol">)</a> <a id="4577" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4579" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="4581" class="Symbol">_</a> <a id="4583" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4585" href="Category.Ambient.html#2115" class="Function">idC</a>                                                                                           <a id="4679" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="4682" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="4688" href="Monad.Instance.Delay.Strong.html#8205" class="Function">diag₃</a> <a id="4694" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
            <a id="4709" class="Symbol">((</a><a id="4711" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="4714" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="4717" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="4724" class="Symbol">(</a><a id="4725" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="4729" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4731" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a><a id="4733" class="Symbol">))</a> <a id="4736" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4738" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="4741" class="Symbol">)</a> <a id="4743" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4745" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="4747" class="Symbol">_</a> <a id="4749" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4751" href="Category.Ambient.html#2115" class="Function">idC</a>                                                                                 <a id="4835" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="4838" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="4844" class="Symbol">(</a><a id="4845" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="4851" class="Symbol">(</a><a id="4852" href="Monad.Instance.Delay.Strong.html#8179" class="Function">diag₂</a> <a id="4858" class="Symbol">(</a><a id="4859" href="Categories.Object.Terminal.html#905" class="Field">Terminal.⊤</a> <a id="4870" href="Categories.Category.Cartesian.html#777" class="Function">terminal</a> <a id="4879" href="Agda.Builtin.Sigma.html#235" class="InductiveConstructor Operator">,</a> <a id="4881" href="Monad.Instance.Delay.Strong.html#4117" class="Bound">X</a><a id="4882" class="Symbol">)))</a> <a id="4886" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
            <a id="4901" class="Symbol">(</a><a id="4902" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="4905" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="4908" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="4915" class="Symbol">(</a><a id="4916" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="4920" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4922" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a><a id="4924" class="Symbol">))</a> <a id="4927" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4929" class="Symbol">((</a><a id="4931" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="4935" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="4938" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="4940" class="Symbol">_)</a> <a id="4943" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4945" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="4959" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4961" class="Symbol">(</a><a id="4962" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="4966" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="4968" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="4971" class="Symbol">))</a> <a id="4974" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4976" href="Category.Ambient.html#2115" class="Function">idC</a>                                                <a id="5027" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="5030" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="5038" class="Symbol">(</a><a id="5039" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="5045" class="Symbol">(</a><a id="5046" href="Categories.Category.Core.html#715" class="Function">assoc</a> <a id="5052" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="5054" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="5058" href="Monad.Instance.Delay.Strong.html#7452" class="Function">diag₁</a><a id="5063" class="Symbol">))</a> <a id="5066" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
            <a id="5081" class="Symbol">(</a><a id="5082" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="5085" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="5088" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="5095" class="Symbol">(</a><a id="5096" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="5100" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5102" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a><a id="5104" class="Symbol">))</a> <a id="5107" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5109" class="Symbol">(</a><a id="5110" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="5114" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="5117" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="5119" class="Symbol">_)</a> <a id="5122" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5124" class="Symbol">(</a><a id="5125" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="5127" href="Categories.Object.Terminal.html#577" class="Function">Terminal.!</a> <a id="5138" href="Categories.Category.Cartesian.html#777" class="Function">terminal</a> <a id="5147" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="5149" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="5153" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="5155" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="5158" href="Category.Ambient.html#2115" class="Function">idC</a><a id="5161" class="Symbol">)</a> <a id="5163" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5165" class="Symbol">(</a><a id="5166" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="5169" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="5172" href="Category.Ambient.html#2115" class="Function">idC</a><a id="5175" class="Symbol">)</a> <a id="5177" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5179" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="5193" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5195" class="Symbol">(</a><a id="5196" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="5200" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="5202" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="5205" class="Symbol">)</a> <a id="5207" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="5210" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="5218" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="5226" class="Symbol">(</a><a id="5227" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="5233" class="Symbol">(</a><a id="5234" href="Categories.Category.Cocartesian.html#2699" class="Function">+₁∘+₁</a> <a id="5240" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="5242" href="Categories.Category.Cocartesian.html#2622" class="Function">+₁-cong₂</a> <a id="5251" class="Symbol">(</a><a id="5252" href="Categories.Morphism.html#1586" class="Function">_≅_.isoˡ</a> <a id="5261" href="Categories.Category.Cartesian.Monoidal.html#1572" class="Function">⊤×A≅A</a><a id="5266" class="Symbol">)</a> <a id="5268" href="Categories.Category.Core.html#1339" class="Function">identity²</a> <a id="5278" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="5280" href="Categories.Category.Cocartesian.html#1714" class="Function">CC.+-unique</a> <a id="5292" class="Symbol">((</a><a id="5294" href="Categories.Category.Core.html#1339" class="Function">identity²</a> <a id="5304" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a><a id="5311" class="Symbol">)</a> <a id="5313" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="5315" href="Categories.Morphism.Reasoning.Core.html#1309" class="Function">id-comm-sym</a><a id="5326" class="Symbol">)</a> <a id="5328" class="Symbol">((</a><a id="5330" href="Categories.Category.Core.html#1339" class="Function">identity²</a> <a id="5340" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a><a id="5347" class="Symbol">)</a> <a id="5349" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="5351" href="Categories.Morphism.Reasoning.Core.html#1309" class="Function">id-comm-sym</a><a id="5362" class="Symbol">))</a> <a id="5365" class="Symbol">)</a> <a id="5367" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
            <a id="5382" class="Symbol">(</a><a id="5383" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="5386" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="5389" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="5396" class="Symbol">(</a><a id="5397" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="5401" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5403" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a><a id="5405" class="Symbol">))</a> <a id="5408" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5410" class="Symbol">(</a><a id="5411" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="5415" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="5418" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="5420" class="Symbol">_)</a> <a id="5423" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5425" class="Symbol">(</a><a id="5426" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="5430" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5432" href="Category.Ambient.html#2115" class="Function">idC</a><a id="5435" class="Symbol">)</a> <a id="5437" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5439" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="5453" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5455" class="Symbol">(</a><a id="5456" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="5460" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="5462" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="5465" class="Symbol">)</a>                                          <a id="5508" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="5511" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="5517" href="Categories.Category.Cocartesian.html#2699" class="Function">+₁∘+₁</a> <a id="5523" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
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            <a id="5714" class="Symbol">(</a><a id="5715" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="5719" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5721" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="5724" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="5727" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="5734" class="Symbol">(</a><a id="5735" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="5739" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5741" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a><a id="5743" class="Symbol">)</a> <a id="5745" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5747" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="5749" class="Symbol">_)</a> <a id="5752" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5754" class="Symbol">(</a><a id="5755" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="5759" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5761" href="Category.Ambient.html#2115" class="Function">idC</a><a id="5764" class="Symbol">)</a> <a id="5766" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5768" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="5782" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5784" class="Symbol">(</a><a id="5785" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="5789" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="5791" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="5794" class="Symbol">)</a>                                             <a id="5840" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">≈˘⟨</a> <a id="5844" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="5850" href="Categories.Category.Cocartesian.html#2699" class="Function">+₁∘+₁</a> <a id="5856" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">⟩</a> 
            <a id="5871" class="Symbol">(</a><a id="5872" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="5876" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="5879" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="5886" class="Symbol">(</a><a id="5887" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="5891" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5893" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a><a id="5895" class="Symbol">))</a> <a id="5898" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5900" class="Symbol">(</a><a id="5901" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="5904" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="5907" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="5909" class="Symbol">_)</a> <a id="5912" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5914" class="Symbol">(</a><a id="5915" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="5919" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5921" href="Category.Ambient.html#2115" class="Function">idC</a><a id="5924" class="Symbol">)</a> <a id="5926" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5928" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="5942" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="5944" class="Symbol">(</a><a id="5945" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="5949" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="5951" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="5954" class="Symbol">)</a>                                          <a id="5997" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="6000" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="6008" class="Symbol">(</a><a id="6009" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="6017" class="Symbol">(</a><a id="6018" href="Categories.Morphism.Reasoning.Core.html#2948" class="Function">elimˡ</a> <a id="6024" href="Categories.Category.Core.html#1339" class="Function">identity²</a><a id="6033" class="Symbol">))</a> <a id="6036" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
            <a id="6051" class="Symbol">(</a><a id="6052" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="6056" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="6059" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="6066" class="Symbol">(</a><a id="6067" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="6071" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="6073" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a><a id="6075" class="Symbol">))</a> <a id="6078" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="6080" class="Symbol">(</a><a id="6081" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="6084" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="6087" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="6089" class="Symbol">_)</a> <a id="6092" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="6094" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="6108" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="6110" class="Symbol">(</a><a id="6111" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="6115" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="6117" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="6120" class="Symbol">)</a>                                                        <a id="6177" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">≈˘⟨</a> <a id="6181" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="6189" class="Symbol">((</a><a id="6191" href="Categories.Category.Cocartesian.html#2622" class="Function">+₁-cong₂</a> <a id="6200" href="Categories.Category.Core.html#1096" class="Function">identityˡ</a> <a id="6210" href="Categories.Category.Core.html#1145" class="Function">identityʳ</a><a id="6219" class="Symbol">)</a> <a id="6221" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a><a id="6228" class="Symbol">)</a> <a id="6230" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">⟩</a> 
            <a id="6245" class="Symbol">(</a><a id="6246" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="6250" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="6253" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="6260" class="Symbol">(</a><a id="6261" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="6265" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="6267" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a><a id="6269" class="Symbol">))</a> <a id="6272" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="6274" class="Symbol">(</a><a id="6275" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="6279" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="6281" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="6284" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="6287" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="6289" class="Symbol">_</a> <a id="6291" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="6293" href="Category.Ambient.html#2115" class="Function">idC</a><a id="6296" class="Symbol">)</a> <a id="6298" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="6300" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="6314" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="6316" class="Symbol">(</a><a id="6317" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="6321" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="6323" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="6326" class="Symbol">)</a>                                            <a id="6371" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">≈˘⟨</a> <a id="6375" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="6381" class="Symbol">(</a><a id="6382" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="6388" href="Categories.Category.Cocartesian.html#2699" class="Function">+₁∘+₁</a><a id="6393" class="Symbol">)</a> <a id="6395" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">⟩</a> 
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            <a id="6585" class="Symbol">(</a><a id="6586" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="6590" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="6593" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="6600" class="Symbol">(</a><a id="6601" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="6605" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="6607" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a><a id="6609" class="Symbol">)</a> <a id="6611" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="6613" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="6615" class="Symbol">_)</a> <a id="6618" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="6620" class="Symbol">(</a><a id="6621" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="6624" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="6627" href="Category.Ambient.html#2115" class="Function">idC</a><a id="6630" class="Symbol">)</a> <a id="6632" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="6634" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="6648" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="6650" class="Symbol">(</a><a id="6651" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="6655" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="6657" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="6660" class="Symbol">)</a>                                                  <a id="6711" href="Relation.Binary.Reasoning.Syntax.html#12283" class="Function Operator">∎</a> <a id="6713" class="Symbol">}))</a> <a id="6717" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
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            <a id="6940" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="6944" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="6946" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a>                                                <a id="6996" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">≈˘⟨</a> <a id="7000" href="Categories.Category.BinaryProducts.html#2453" class="Function">π₂∘⁂</a> <a id="7005" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">⟩</a> 
            <a id="7020" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="7023" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="7025" class="Symbol">(</a><a id="7026" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="7030" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="7032" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="7035" class="Symbol">)</a>                                        <a id="7076" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">≈˘⟨</a> <a id="7080" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="7086" href="Categories.Category.Distributive.Properties.html#2330" class="Function">distributeˡ⁻¹-π₂</a> <a id="7103" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">⟩</a>
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            <a id="7231" class="Symbol">(</a><a id="7232" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="7236" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="7238" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="7241" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="7244" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="7247" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="7249" href="Category.Ambient.html#2115" class="Function">idC</a><a id="7252" class="Symbol">)</a> <a id="7254" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="7256" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="7270" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="7272" class="Symbol">(</a><a id="7273" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="7277" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="7279" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="7282" class="Symbol">)</a>    <a id="7287" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">≈˘⟨</a> <a id="7291" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="7297" href="Categories.Category.Cocartesian.html#2699" class="Function">+₁∘+₁</a> <a id="7303" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">⟩</a> 
            <a id="7318" class="Symbol">(</a><a id="7319" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="7323" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="7326" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a><a id="7328" class="Symbol">)</a> <a id="7330" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="7332" class="Symbol">(</a><a id="7333" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="7336" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="7339" href="Category.Ambient.html#2115" class="Function">idC</a><a id="7342" class="Symbol">)</a> <a id="7344" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="7346" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="7360" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="7362" class="Symbol">(</a><a id="7363" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="7367" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="7369" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="7372" class="Symbol">)</a> <a id="7374" href="Relation.Binary.Reasoning.Syntax.html#12283" class="Function Operator">∎</a> <a id="7376" class="Symbol">})</a> <a id="7379" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
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              <a id="7653" class="Symbol">(</a><a id="7654" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="7656" href="Categories.Object.Terminal.html#577" class="Function">Terminal.!</a> <a id="7667" href="Categories.Category.Cartesian.html#777" class="Function">terminal</a> <a id="7676" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="7678" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="7682" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="7684" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="7687" href="Category.Ambient.html#2115" class="Function">idC</a><a id="7690" class="Symbol">)</a> <a id="7692" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="7694" class="Symbol">(</a><a id="7695" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="7698" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="7701" href="Category.Ambient.html#2115" class="Function">idC</a><a id="7704" class="Symbol">)</a> <a id="7706" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="7708" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="7722" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="7724" class="Symbol">(</a><a id="7725" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="7729" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="7731" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="7734" class="Symbol">)</a> <a id="7736" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="7739" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="7745" href="Categories.Category.Cocartesian.html#2699" class="Function">+₁∘+₁</a> <a id="7751" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
              <a id="7768" class="Symbol">(</a><a id="7769" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="7771" href="Categories.Object.Terminal.html#577" class="Function">Terminal.!</a> <a id="7782" href="Categories.Category.Cartesian.html#777" class="Function">terminal</a> <a id="7791" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="7793" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="7797" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="7799" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="7801" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="7804" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="7807" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="7811" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="7813" href="Category.Ambient.html#2115" class="Function">idC</a><a id="7816" class="Symbol">)</a> <a id="7818" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="7820" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="7834" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="7836" class="Symbol">(</a><a id="7837" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="7841" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="7843" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="7846" class="Symbol">)</a>    <a id="7851" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="7854" href="Categories.Category.Cocartesian.html#2622" class="Function">+₁-cong₂</a> <a id="7863" class="Symbol">(</a><a id="7864" href="Categories.Morphism.html#1586" class="Function">_≅_.isoˡ</a> <a id="7873" href="Categories.Category.Cartesian.Monoidal.html#1572" class="Function">⊤×A≅A</a><a id="7878" class="Symbol">)</a> <a id="7880" href="Categories.Category.Core.html#1339" class="Function">identity²</a> <a id="7890" href="Categories.Category.Core.html#2634" class="Function Operator">⟩∘⟨</a> <a id="7894" class="Symbol">(</a><a id="7895" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="7903" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="7907" href="Categories.Category.Core.html#1145" class="Function">identityʳ</a><a id="7916" class="Symbol">)</a> <a id="7918" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
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              <a id="13443" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="13445" class="Symbol">(</a><a id="13446" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="13450" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="13453" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="13455" class="Symbol">_)</a> <a id="13458" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="13460" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="13474" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="13476" class="Symbol">(</a><a id="13477" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="13481" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="13483" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="13486" class="Symbol">)</a> <a id="13488" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="13490" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="13493" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="13495" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="13502" class="Symbol">(</a><a id="13503" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="13505" class="Symbol">(</a><a id="13506" href="Monad.Instance.Delay.Strong.html#8463" class="Bound">X</a> <a id="13508" href="Agda.Builtin.Sigma.html#235" class="InductiveConstructor Operator">,</a> <a id="13510" href="Monad.Instance.Delay.Strong.html#8467" class="Bound">Y</a><a id="13511" class="Symbol">))</a> <a id="13514" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="13516" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="13518" class="Symbol">_</a> <a id="13520" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="13522" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="13524" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a>                                          <a id="13579" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="13582" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="13586" class="Symbol">((</a><a id="13588" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="13597" class="Symbol">((</a><a id="13599" href="Categories.Category.Cocartesian.html#2622" class="Function">+₁-cong₂</a> <a id="13608" href="Relation.Binary.Structures.html#1596" class="Function">refl</a> <a id="13613" href="Monad.Instance.Delay.Strong.html#1081" class="Function">k-identityʳ</a><a id="13624" class="Symbol">)</a> <a id="13626" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a><a id="13633" class="Symbol">)</a> <a id="13635" href="Relation.Binary.Structures.html#1596" class="Function">refl</a><a id="13639" class="Symbol">)</a> <a id="13641" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a><a id="13648" class="Symbol">)</a> <a id="13650" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
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              <a id="13911" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="13913" class="Symbol">(</a><a id="13914" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="13918" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="13920" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="13924" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="13927" class="Symbol">(</a><a id="13928" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="13935" class="Symbol">(</a><a id="13936" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="13938" class="Symbol">_)</a> <a id="13941" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="13943" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="13945" class="Symbol">_)</a> <a id="13948" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="13950" class="Symbol">(</a><a id="13951" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="13955" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="13957" href="Monad.Instance.Delay.html#2135" class="Function">now</a><a id="13960" class="Symbol">))</a> <a id="13963" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="13965" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="13979" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="13981" class="Symbol">(</a><a id="13982" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="13986" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="13988" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="13991" class="Symbol">)</a> <a id="13993" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="13995" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="13998" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14000" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="14007" class="Symbol">(</a><a id="14008" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="14010" class="Symbol">_)</a> <a id="14013" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14015" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="14017" class="Symbol">_</a> <a id="14019" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="14021" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14023" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a>           <a id="14047" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="14050" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="14054" class="Symbol">((</a><a id="14056" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="14065" class="Symbol">(</a><a id="14066" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="14072" href="Categories.Category.Cocartesian.html#2699" class="Function">+₁∘+₁</a><a id="14077" class="Symbol">)</a> <a id="14079" href="Categories.Category.Cocartesian.html#2585" class="Function">+₁∘i₂</a><a id="14084" class="Symbol">)</a> <a id="14086" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a><a id="14093" class="Symbol">)</a> <a id="14095" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
              <a id="14112" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="14114" class="Symbol">(</a><a id="14115" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14119" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="14122" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="14129" class="Symbol">(</a><a id="14130" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="14132" class="Symbol">_)</a> <a id="14135" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14137" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="14139" class="Symbol">_)</a> <a id="14142" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14144" class="Symbol">(</a><a id="14145" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14149" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="14152" class="Symbol">(</a><a id="14153" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14157" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="14159" href="Monad.Instance.Delay.html#2135" class="Function">now</a><a id="14162" class="Symbol">))</a> <a id="14165" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14167" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="14181" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14183" class="Symbol">(</a><a id="14184" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14188" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="14190" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="14193" class="Symbol">)</a> <a id="14195" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="14197" class="Symbol">(</a><a id="14198" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14202" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="14205" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="14212" class="Symbol">(</a><a id="14213" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="14215" class="Symbol">_)</a> <a id="14218" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14220" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="14222" class="Symbol">_)</a> <a id="14225" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14227" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="14230" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="14232" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14234" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="14248" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="14251" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="14255" class="Symbol">(</a><a id="14256" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="14262" href="Categories.Category.Cocartesian.html#2736" class="Function">∘[]</a><a id="14265" class="Symbol">)</a> <a id="14267" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
              <a id="14284" class="Symbol">(</a><a id="14285" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14289" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="14292" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="14299" class="Symbol">(</a><a id="14300" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="14302" class="Symbol">_)</a> <a id="14305" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14307" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="14309" class="Symbol">_)</a> <a id="14312" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14314" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="14316" class="Symbol">(</a><a id="14317" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14321" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="14324" class="Symbol">(</a><a id="14325" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14329" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="14331" href="Monad.Instance.Delay.html#2135" class="Function">now</a><a id="14334" class="Symbol">))</a> <a id="14337" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14339" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="14353" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14355" class="Symbol">(</a><a id="14356" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14360" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="14362" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="14365" class="Symbol">)</a> <a id="14367" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="14369" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="14372" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="14374" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14376" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a>                               <a id="14420" href="Relation.Binary.Reasoning.Syntax.html#12283" class="Function Operator">∎</a>
            <a id="14434" href="Monad.Instance.Delay.Strong.html#14434" class="Function">id*∘Dτ</a> <a id="14441" class="Symbol">:</a> <a id="14443" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="14450" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14454" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14456" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="14463" class="Symbol">(</a><a id="14464" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="14468" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14470" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="14472" class="Symbol">_)</a> <a id="14475" href="Categories.Category.Core.html#595" class="Function Operator">≈</a> <a id="14477" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="14484" class="Symbol">(</a><a id="14485" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="14487" class="Symbol">_)</a>
            <a id="14502" href="Monad.Instance.Delay.Strong.html#14434" class="Function">id*∘Dτ</a> <a id="14509" class="Symbol">=</a> <a id="14511" href="Relation.Binary.Reasoning.Syntax.html#1510" class="Function Operator">begin</a> 
              <a id="14532" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="14539" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14543" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14545" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="14552" class="Symbol">(</a><a id="14553" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="14557" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14559" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="14561" class="Symbol">_)</a> <a id="14564" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="14567" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="14571" href="Monad.Instance.Delay.Strong.html#1059" class="Function">k-assoc</a> <a id="14579" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
              <a id="14596" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="14603" class="Symbol">(</a><a id="14604" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="14611" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14615" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14617" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="14621" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14623" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="14625" class="Symbol">_)</a> <a id="14628" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="14631" href="Categories.Monad.Relative.html#1306" class="Function">extend-≈</a> <a id="14640" class="Symbol">(</a><a id="14641" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="14647" href="Monad.Instance.Delay.Strong.html#1081" class="Function">k-identityʳ</a><a id="14658" class="Symbol">)</a> <a id="14660" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
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              <a id="14747" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="14754" class="Symbol">(</a><a id="14755" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="14757" class="Symbol">_)</a>                    <a id="14779" href="Relation.Binary.Reasoning.Syntax.html#12283" class="Function Operator">∎</a>
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class="Function Operator">[</a> <a id="14841" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="14845" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="14847" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="14850" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14852" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="14859" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14863" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a><a id="14864" class="Symbol">)</a> <a id="14866" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14868" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="14870" class="Symbol">(</a><a id="14871" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14875" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="14877" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a><a id="14879" class="Symbol">)</a> <a id="14881" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="14883" class="Symbol">(</a><a id="14884" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14888" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="14890" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="14892" class="Symbol">)</a> <a id="14894" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="14896" href="Categories.Category.Core.html#595" class="Function Operator">≈</a> <a id="14898" class="Symbol">(</a><a id="14899" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14903" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="14906" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="14908" class="Symbol">_</a> <a id="14910" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14912" class="Symbol">(</a><a id="14913" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14917" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="14919" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="14926" href="Category.Ambient.html#2115" class="Function">idC</a><a id="14929" class="Symbol">))</a> <a id="14932" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14934" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="14936" class="Symbol">(</a><a id="14937" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14941" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="14944" class="Symbol">(</a><a id="14945" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14949" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="14951" href="Monad.Instance.Delay.html#2135" class="Function">now</a><a id="14954" class="Symbol">))</a> <a id="14957" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14959" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="14973" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14975" class="Symbol">(</a><a id="14976" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14980" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="14982" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="14985" class="Symbol">)</a> <a id="14987" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="14989" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="14992" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="14994" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14996" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="15010" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="15012" href="Categories.Category.Distributive.html#931" class="Function">distributeˡ</a>
            <a id="15036" href="Monad.Instance.Delay.Strong.html#14793" class="Function">tri₂&#39;</a> <a id="15042" class="Symbol">=</a> <a id="15044" href="Relation.Binary.Reasoning.Syntax.html#1510" class="Function Operator">begin</a> 
              <a id="15065" class="Symbol">(</a><a id="15066" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="15070" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="15073" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="15075" class="Symbol">_)</a> <a id="15078" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="15080" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="15094" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="15096" class="Symbol">(</a><a id="15097" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="15101" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="15103" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="15105" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="15109" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="15111" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="15114" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="15116" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="15123" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="15127" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a><a id="15128" class="Symbol">)</a> <a id="15130" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="15132" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="15134" class="Symbol">(</a><a id="15135" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="15139" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="15141" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a><a id="15143" class="Symbol">)</a> <a id="15145" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="15147" class="Symbol">(</a><a id="15148" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="15152" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="15154" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="15156" class="Symbol">)</a> <a id="15158" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a>                                      <a id="15197" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="15200" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="15208" class="Symbol">(</a><a id="15209" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="15217" href="Categories.Category.Cocartesian.html#2736" class="Function">∘[]</a><a id="15220" class="Symbol">)</a> <a id="15222" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
              <a id="15239" class="Symbol">(</a><a id="15240" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="15244" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="15247" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="15249" class="Symbol">_)</a> <a id="15252" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="15254" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="15268" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="15270" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="15272" class="Symbol">(</a><a id="15273" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="15277" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="15279" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="15281" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="15285" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="15287" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="15290" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="15292" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="15299" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="15303" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a><a id="15304" class="Symbol">)</a> <a id="15306" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="15308" class="Symbol">(</a><a id="15309" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="15313" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="15315" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a><a id="15317" class="Symbol">)</a> <a id="15319" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="15321" class="Symbol">(</a><a id="15322" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="15326" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="15328" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="15330" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="15334" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="15336" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="15339" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="15341" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="15348" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="15352" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a><a id="15353" class="Symbol">)</a> <a id="15355" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="15357" class="Symbol">(</a><a id="15358" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="15362" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="15364" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="15366" class="Symbol">)</a> <a id="15368" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a>  <a id="15371" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="15374" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="15382" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="15390" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="15399" href="Categories.Category.BinaryProducts.html#2881" class="Function">⁂∘⁂</a> <a id="15403" href="Categories.Category.BinaryProducts.html#2881" class="Function">⁂∘⁂</a> <a id="15407" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
              <a id="15423" class="Symbol">(</a><a id="15424" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="15428" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="15431" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="15433" class="Symbol">_)</a> <a id="15436" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="15438" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="15452" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="15454" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="15456" class="Symbol">(</a><a id="15457" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="15461" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="15463" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="15467" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="15469" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="15471" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="15475" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="15477" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="15480" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="15482" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="15489" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="15493" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="15495" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="15497" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a><a id="15499" class="Symbol">)</a> <a id="15501" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="15503" class="Symbol">(</a><a id="15504" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="15508" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="15510" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="15514" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="15516" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="15518" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="15522" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="15524" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="15527" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="15529" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="15536" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="15540" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="15542" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="15544" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="15546" class="Symbol">)</a> <a id="15548" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a>      <a id="15555" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="15558" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="15566" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="15574" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="15583" class="Symbol">(</a><a id="15584" href="Categories.Category.BinaryProducts.html#2515" class="Function">⁂-cong₂</a> <a id="15592" href="Categories.Category.Core.html#1339" class="Function">identity²</a> <a id="15602" href="Categories.Object.Coproduct.html#569" class="Function">inject₁</a><a id="15609" class="Symbol">)</a> <a id="15611" class="Symbol">(</a><a id="15612" href="Categories.Category.BinaryProducts.html#2515" class="Function">⁂-cong₂</a> <a id="15620" href="Categories.Category.Core.html#1339" class="Function">identity²</a> <a id="15630" href="Categories.Object.Coproduct.html#602" class="Function">inject₂</a><a id="15637" class="Symbol">)</a> <a id="15639" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
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              <a id="17068" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="17070" class="Symbol">(</a><a id="17071" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="17075" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="17078" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="17080" class="Symbol">_</a> <a id="17082" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17084" class="Symbol">(</a><a id="17085" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="17089" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17091" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="17098" href="Category.Ambient.html#2115" class="Function">idC</a><a id="17101" class="Symbol">)</a> <a id="17103" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17105" class="Symbol">(</a><a id="17106" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="17110" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17112" href="Monad.Instance.Delay.html#2135" class="Function">now</a><a id="17115" class="Symbol">))</a> <a id="17118" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17120" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="17134" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17136" class="Symbol">(</a><a id="17137" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="17141" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17143" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="17146" class="Symbol">)</a> <a id="17148" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="17150" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="17153" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17155" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="17157" class="Symbol">_</a> <a id="17159" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17161" class="Symbol">(</a><a id="17162" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="17166" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17168" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="17175" href="Category.Ambient.html#2115" class="Function">idC</a><a id="17178" class="Symbol">)</a> <a id="17180" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a>                   <a id="17200" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="17203" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="17207" class="Symbol">(</a><a id="17208" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="17217" class="Symbol">(</a><a id="17218" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="17224" class="Symbol">(</a><a id="17225" href="Categories.Category.Cocartesian.html#2699" class="Function">+₁∘+₁</a> <a id="17231" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="17233" href="Categories.Category.Cocartesian.html#2622" class="Function">+₁-cong₂</a> <a id="17242" href="Categories.Category.Core.html#1339" class="Function">identity²</a> <a id="17252" href="Categories.Category.Core.html#715" class="Function">assoc</a><a id="17257" class="Symbol">))</a> <a id="17260" href="Categories.Category.Cocartesian.html#2585" class="Function">+₁∘i₂</a><a id="17265" class="Symbol">)</a> <a id="17267" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
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              <a id="18123" class="Symbol">((</a><a id="18125" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="18129" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="18132" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="18134" class="Symbol">_</a> <a id="18136" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="18138" class="Symbol">(</a><a id="18139" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="18143" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="18145" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="18152" href="Category.Ambient.html#2115" class="Function">idC</a><a id="18155" class="Symbol">))</a> <a id="18158" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="18160" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="18162" class="Symbol">(</a><a id="18163" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="18167" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="18170" class="Symbol">(</a><a id="18171" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="18175" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="18177" href="Monad.Instance.Delay.html#2135" class="Function">now</a><a id="18180" class="Symbol">))</a> <a id="18183" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="18185" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="18199" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="18201" class="Symbol">(</a><a id="18202" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="18206" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="18208" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="18211" class="Symbol">)</a> <a id="18213" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="18215" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="18218" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="18220" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="18222" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a><a id="18235" class="Symbol">)</a> 
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            <a id="21219" class="Symbol">(</a><a id="21220" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21224" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="21227" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="21229" class="Symbol">_)</a> <a id="21232" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21234" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="21248" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21250" class="Symbol">((</a><a id="21252" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21256" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21258" href="Category.Ambient.html#2115" class="Function">idC</a><a id="21261" class="Symbol">)</a> <a id="21263" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21265" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21269" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="21271" class="Symbol">((</a><a id="21273" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21277" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="21280" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="21282" class="Symbol">_)</a> <a id="21285" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21287" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a><a id="21300" class="Symbol">)</a> <a id="21302" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21304" class="Symbol">(</a><a id="21305" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21309" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="21311" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="21314" class="Symbol">))</a> <a id="21317" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21319" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="21321" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="21324" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21326" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="21329" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="21331" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="21333" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="21336" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21338" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="21341" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="21343" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="21346" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="21348" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a>    <a id="21353" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="21356" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="21360" class="Symbol">(</a><a id="21361" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="21369" class="Symbol">(</a><a id="21370" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="21376" class="Symbol">(</a><a id="21377" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="21383" href="Categories.Category.BinaryProducts.html#2881" class="Function">⁂∘⁂</a> <a id="21387" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="21389" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="21395" href="Categories.Category.BinaryProducts.html#2881" class="Function">⁂∘⁂</a><a id="21398" class="Symbol">)))</a> <a id="21402" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
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            <a id="21605" class="Symbol">(</a><a id="21606" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21610" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="21613" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="21615" class="Symbol">_)</a> <a id="21618" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21620" class="Symbol">(</a><a id="21621" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="21635" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21637" class="Symbol">(</a><a id="21638" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21642" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="21644" class="Symbol">(</a><a id="21645" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21649" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="21652" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="21654" class="Symbol">_)))</a> <a id="21659" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21661" class="Symbol">(</a><a id="21662" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21666" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="21668" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a><a id="21681" class="Symbol">)</a> <a id="21683" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21685" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="21687" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="21690" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21692" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="21695" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="21697" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="21699" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="21702" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21704" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="21707" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="21709" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="21712" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="21714" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="21716" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21718" class="Symbol">(</a><a id="21719" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21723" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="21725" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="21728" class="Symbol">)</a>          <a id="21739" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="21742" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="21750" class="Symbol">(</a><a id="21751" href="Monad.Instance.Delay.Strong.html#24503" class="Function">helper₂</a> <a id="21759" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a><a id="21766" class="Symbol">)</a> <a id="21768" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
            <a id="21783" class="Symbol">(</a><a id="21784" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21788" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="21791" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="21793" class="Symbol">_)</a> <a id="21796" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21798" class="Symbol">((</a><a id="21800" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21804" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="21807" class="Symbol">(</a><a id="21808" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21812" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="21814" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="21816" class="Symbol">(</a><a id="21817" href="Monad.Instance.Delay.Strong.html#18508" class="Bound">Y</a> <a id="21819" href="Agda.Builtin.Sigma.html#235" class="InductiveConstructor Operator">,</a> <a id="21821" href="Monad.Instance.Delay.Strong.html#18512" class="Bound">Z</a><a id="21822" class="Symbol">)))</a> <a id="21826" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21828" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a><a id="21841" class="Symbol">)</a> <a id="21843" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21845" class="Symbol">(</a><a id="21846" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21850" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="21852" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a><a id="21865" class="Symbol">)</a> <a id="21867" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21869" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="21871" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="21874" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21876" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="21879" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="21881" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="21883" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="21886" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21888" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="21891" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="21893" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="21896" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="21898" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="21900" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21902" class="Symbol">(</a><a id="21903" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21907" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="21909" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="21912" class="Symbol">)</a>    <a id="21917" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="21920" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="21928" class="Symbol">(</a><a id="21929" href="Categories.Category.Core.html#715" class="Function">assoc</a> <a id="21935" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="21937" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="21945" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="21949" href="Categories.Morphism.Reasoning.Core.html#1551" class="Function">assoc²&#39;</a><a id="21956" class="Symbol">)</a> <a id="21958" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
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class="Symbol">)</a> <a id="22696" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a><a id="22703" class="Symbol">)</a> <a id="22705" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
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            <a id="22890" class="Symbol">(</a><a id="22891" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="22895" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="22898" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="22900" class="Symbol">_</a> <a id="22902" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22904" class="Symbol">(</a><a id="22905" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="22909" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="22911" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="22913" class="Symbol">_)</a> <a id="22916" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22918" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="22920" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="22923" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22925" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="22928" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="22930" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="22932" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="22935" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22937" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="22940" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="22942" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="22945" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="22947" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a><a id="22948" class="Symbol">)</a> <a id="22950" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22952" class="Symbol">(</a><a id="22953" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="22955" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="22958" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22960" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="22963" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="22965" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="22967" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="22970" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22972" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="22975" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="22977" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="22980" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="22982" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="22984" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="22987" href="Category.Ambient.html#2115" class="Function">idC</a><a id="22990" class="Symbol">)</a> <a id="22992" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22994" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="23008" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23010" class="Symbol">(</a><a id="23011" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="23015" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="23017" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="23020" class="Symbol">)</a>   <a id="23024" href="Relation.Binary.Reasoning.Syntax.html#12283" class="Function Operator">∎</a> <a id="23026" class="Symbol">})</a> <a id="23029" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
          <a id="23041" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="23043" class="Symbol">_</a> <a id="23045" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23047" class="Symbol">(</a><a id="23048" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="23052" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="23054" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="23056" class="Symbol">_)</a> <a id="23059" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23061" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="23063" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="23066" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23068" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="23071" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="23073" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="23075" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="23078" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23080" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="23083" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="23085" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="23088" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="23090" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a>                                                                                                      <a id="23193" href="Relation.Binary.Reasoning.Syntax.html#12283" class="Function Operator">∎</a>
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            <a id="23357" href="Monad.Instance.Delay.Strong.html#23223" class="Function">helper₁</a> <a id="23365" class="Symbol">=</a> <a id="23367" href="Relation.Binary.Reasoning.Syntax.html#1510" class="Function Operator">begin</a> 
              <a id="23388" class="Symbol">(</a><a id="23389" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="23393" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="23395" class="Symbol">(</a><a id="23396" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="23400" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="23402" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="23405" class="Symbol">))</a> <a id="23408" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23410" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="23412" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="23415" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23417" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="23420" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="23422" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="23424" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="23427" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23429" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="23432" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="23434" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="23437" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="23439" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a>                                       <a id="23479" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="23482" href="Categories.Category.BinaryProducts.html#2599" class="Function">⁂∘⟨⟩</a> <a id="23487" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
              <a id="23504" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="23506" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="23510" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23512" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="23515" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23517" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="23520" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="23522" class="Symbol">(</a><a id="23523" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="23527" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="23529" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="23532" class="Symbol">)</a> <a id="23534" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23536" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="23538" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="23541" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23543" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="23546" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="23548" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="23551" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="23553" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a>                                         <a id="23595" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="23598" href="Categories.Object.Product.Core.html#854" class="Function">⟨⟩-cong₂</a> <a id="23607" href="Categories.Category.Core.html#1096" class="Function">identityˡ</a> <a id="23617" href="Categories.Category.BinaryProducts.html#2599" class="Function">⁂∘⟨⟩</a> <a id="23622" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
              <a id="23639" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="23641" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="23644" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23646" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="23649" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="23651" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="23653" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="23657" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23659" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="23662" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23664" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="23667" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="23669" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="23673" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23675" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="23678" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="23680" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a>                                                 <a id="23730" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="23733" href="Categories.Object.Product.Core.html#854" class="Function">⟨⟩-cong₂</a> <a id="23742" href="Relation.Binary.Structures.html#1596" class="Function">refl</a> <a id="23747" class="Symbol">(</a><a id="23748" href="Categories.Object.Product.Core.html#854" class="Function">⟨⟩-cong₂</a> <a id="23757" href="Categories.Category.Core.html#1096" class="Function">identityˡ</a> <a id="23767" href="Relation.Binary.Structures.html#1596" class="Function">refl</a><a id="23771" class="Symbol">)</a> <a id="23773" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
              <a id="23790" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="23792" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="23795" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23797" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="23800" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="23802" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="23804" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="23807" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23809" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="23812" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="23814" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="23818" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23820" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="23823" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="23825" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a>                                                       <a id="23881" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="23884" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="23888" class="Symbol">(</a><a id="23889" href="Categories.Object.Product.Core.html#854" class="Function">⟨⟩-cong₂</a> <a id="23898" href="Relation.Binary.Structures.html#1596" class="Function">refl</a> <a id="23903" class="Symbol">(</a><a id="23904" href="Categories.Object.Product.Core.html#854" class="Function">⟨⟩-cong₂</a> <a id="23913" class="Symbol">(</a><a id="23914" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="23922" href="Categories.Category.Core.html#1096" class="Function">identityˡ</a><a id="23931" class="Symbol">)</a> <a id="23933" href="Relation.Binary.Structures.html#1596" class="Function">refl</a><a id="23937" class="Symbol">))</a> <a id="23940" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
              <a id="23957" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="23959" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="23962" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23964" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="23967" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="23969" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="23971" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="23974" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23976" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="23980" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23982" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="23985" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="23987" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="23991" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="23993" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="23996" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="23998" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a>                                                 <a id="24048" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="24051" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="24055" class="Symbol">(</a><a id="24056" href="Categories.Object.Product.Core.html#854" class="Function">⟨⟩-cong₂</a> <a id="24065" class="Symbol">(</a><a id="24066" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="24074" href="Categories.Category.Core.html#1096" class="Function">identityˡ</a><a id="24083" class="Symbol">)</a> <a id="24085" class="Symbol">(</a><a id="24086" href="Categories.Object.Product.Core.html#854" class="Function">⟨⟩-cong₂</a> <a id="24095" class="Symbol">(</a><a id="24096" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="24102" href="Categories.Category.BinaryProducts.html#2391" class="Function">π₁∘⁂</a><a id="24106" class="Symbol">)</a> <a id="24108" href="Categories.Category.BinaryProducts.html#2453" class="Function">π₂∘⁂</a><a id="24112" class="Symbol">))</a> <a id="24115" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
              <a id="24132" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="24134" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="24137" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="24139" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="24143" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="24145" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="24148" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="24150" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="24152" class="Symbol">(</a><a id="24153" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="24156" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="24158" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a><a id="24160" class="Symbol">)</a> <a id="24162" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="24164" class="Symbol">(</a><a id="24165" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="24169" class="Symbol">{</a><a id="24170" href="Monad.Instance.Delay.Strong.html#18504" class="Bound">X</a> <a id="24172" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="24174" href="Monad.Instance.Delay.Strong.html#18508" class="Bound">Y</a><a id="24175" class="Symbol">}</a> <a id="24177" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="24179" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="24183" class="Symbol">{</a><a id="24184" href="Monad.Instance.Delay.Strong.html#18512" class="Bound">Z</a><a id="24185" class="Symbol">})</a> <a id="24188" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="24190" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="24193" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="24195" class="Symbol">(</a><a id="24196" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="24200" class="Symbol">{</a><a id="24201" href="Monad.Instance.Delay.Strong.html#18504" class="Bound">X</a> <a id="24203" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="24205" href="Monad.Instance.Delay.Strong.html#18508" class="Bound">Y</a><a id="24206" class="Symbol">}</a> <a id="24208" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="24210" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="24214" class="Symbol">{</a><a id="24215" href="Monad.Instance.Delay.Strong.html#18512" class="Bound">Z</a><a id="24216" class="Symbol">})</a> <a id="24219" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="24221" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="24223" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="24226" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="24230" class="Symbol">(</a><a id="24231" href="Categories.Object.Product.Core.html#854" class="Function">⟨⟩-cong₂</a> <a id="24240" class="Symbol">(</a><a id="24241" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="24247" href="Categories.Object.Product.Core.html#603" class="Function">project₁</a><a id="24255" class="Symbol">)</a> <a id="24257" href="Categories.Category.BinaryProducts.html#2975" class="Function">⟨⟩∘</a><a id="24260" class="Symbol">)</a> <a id="24262" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
              <a id="24279" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="24281" class="Symbol">(</a><a id="24282" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="24285" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="24287" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a><a id="24289" class="Symbol">)</a> <a id="24291" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="24293" class="Symbol">(</a><a id="24294" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="24298" class="Symbol">{</a><a id="24299" href="Monad.Instance.Delay.Strong.html#18504" class="Bound">X</a> <a id="24301" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="24303" href="Monad.Instance.Delay.Strong.html#18508" class="Bound">Y</a><a id="24304" class="Symbol">}</a> <a id="24306" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="24308" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="24312" class="Symbol">{</a><a id="24313" href="Monad.Instance.Delay.Strong.html#18512" class="Bound">Z</a><a id="24314" class="Symbol">})</a> <a id="24317" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="24319" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="24321" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="24324" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="24326" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="24329" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="24331" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="24334" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="24336" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="24338" class="Symbol">(</a><a id="24339" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="24343" class="Symbol">{</a><a id="24344" href="Monad.Instance.Delay.Strong.html#18504" class="Bound">X</a> <a id="24346" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="24348" href="Monad.Instance.Delay.Strong.html#18508" class="Bound">Y</a><a id="24349" class="Symbol">}</a> <a id="24351" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="24353" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="24357" class="Symbol">{</a><a id="24358" href="Monad.Instance.Delay.Strong.html#18512" class="Bound">Z</a><a id="24359" class="Symbol">})</a> <a id="24362" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a>       <a id="24370" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="24373" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="24377" href="Categories.Category.BinaryProducts.html#2975" class="Function">⟨⟩∘</a> <a id="24381" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
              <a id="24398" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="24400" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="24403" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="24405" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="24408" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="24410" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="24412" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="24415" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="24417" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="24420" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="24422" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="24425" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="24427" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="24429" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="24431" class="Symbol">(</a><a id="24432" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="24436" class="Symbol">{</a><a id="24437" href="Monad.Instance.Delay.Strong.html#18504" class="Bound">X</a> <a id="24439" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="24441" href="Monad.Instance.Delay.Strong.html#18508" class="Bound">Y</a><a id="24442" class="Symbol">}</a> <a id="24444" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="24446" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="24450" class="Symbol">{</a><a id="24451" href="Monad.Instance.Delay.Strong.html#18512" class="Bound">Z</a><a id="24452" class="Symbol">})</a>                                   <a id="24489" href="Relation.Binary.Reasoning.Syntax.html#12283" class="Function Operator">∎</a>
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href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="25814" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="25816" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="25819" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="25821" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="25823" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="25825" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25827" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a>                                                                                           <a id="25931" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="25934" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="25942" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="25951" class="Symbol">(</a><a id="25952" href="Categories.Object.Product.Core.html#854" class="Function">⟨⟩-cong₂</a> <a id="25961" href="Categories.Category.Core.html#1096" class="Function">identityˡ</a> <a id="25971" class="Symbol">(</a><a id="25972" href="Categories.Morphism.Reasoning.Core.html#2485" class="Function">pushˡ</a> <a id="25978" class="Symbol">(</a><a id="25979" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="25983" href="Categories.Category.Distributive.Properties.html#827" class="Function">distributeˡ⁻¹-i₁</a><a id="25999" class="Symbol">)))</a> <a id="26003" class="Symbol">(</a><a id="26004" href="Categories.Object.Product.Core.html#854" class="Function">⟨⟩-cong₂</a> <a id="26013" href="Categories.Category.Core.html#1096" class="Function">identityˡ</a> <a id="26023" class="Symbol">((</a><a id="26025" href="Categories.Morphism.Reasoning.Core.html#2485" class="Function">pushˡ</a> <a id="26031" class="Symbol">(</a><a id="26032" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="26036" href="Categories.Category.Distributive.Properties.html#977" class="Function">distributeˡ⁻¹-i₂</a><a id="26052" class="Symbol">))))</a> <a id="26057" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="26065" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
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href="Category.Ambient.html#2115" class="Function">idC</a> <a id="26132" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="26134" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a><a id="26136" class="Symbol">)</a> <a id="26138" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="26140" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="26142" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="26145" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="26147" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="26150" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="26152" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="26155" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a 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href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="26223" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="26225" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a>                                                       <a id="26293" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="26296" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="26300" class="Symbol">(</a><a id="26301" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="26309" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="26318" class="Symbol">(</a><a id="26319" href="Categories.Object.Product.Core.html#854" class="Function">⟨⟩-cong₂</a> <a id="26328" href="Relation.Binary.Structures.html#1596" class="Function">refl</a> <a id="26333" class="Symbol">(</a><a id="26334" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="26342" class="Symbol">(</a><a id="26343" href="Categories.Object.Product.Core.html#854" class="Function">⟨⟩-cong₂</a> <a id="26352" class="Symbol">(</a><a id="26353" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="26361" href="Categories.Category.Core.html#1096" class="Function">identityˡ</a> <a id="26371" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="26373" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="26377" href="Categories.Category.Core.html#1096" class="Function">identityˡ</a><a id="26386" class="Symbol">)</a> <a id="26388" href="Relation.Binary.Structures.html#1596" class="Function">refl</a> <a id="26393" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="26395" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="26399" href="Categories.Category.BinaryProducts.html#2599" class="Function">⁂∘⟨⟩</a><a id="26403" class="Symbol">)))</a> <a id="26407" class="Symbol">(</a><a id="26408" href="Categories.Object.Product.Core.html#854" class="Function">⟨⟩-cong₂</a> <a id="26417" href="Relation.Binary.Structures.html#1596" class="Function">refl</a> <a id="26422" class="Symbol">(</a><a id="26423" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="26431" class="Symbol">(</a><a id="26432" href="Categories.Object.Product.Core.html#854" class="Function">⟨⟩-cong₂</a> <a id="26441" class="Symbol">(</a><a id="26442" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="26450" href="Categories.Category.Core.html#1096" class="Function">identityˡ</a> <a id="26460" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="26462" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="26466" href="Categories.Category.Core.html#1096" class="Function">identityˡ</a><a id="26475" class="Symbol">)</a> <a id="26477" href="Relation.Binary.Structures.html#1596" class="Function">refl</a> <a id="26482" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="26484" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="26488" href="Categories.Category.BinaryProducts.html#2599" class="Function">⁂∘⟨⟩</a><a id="26492" class="Symbol">)))</a> <a id="26496" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a><a id="26503" class="Symbol">)</a> <a id="26505" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
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class="Function Operator">⟨</a> <a id="26569" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="26572" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="26574" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="26578" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="26580" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="26583" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="26585" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="26588" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="26590" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="26593" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="26595" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a 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id="26634" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="26638" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="26640" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="26643" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="26645" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="26648" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="26650" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="26653" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="26655" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="26657" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="26659" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="26661" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a>                                                           <a id="26733" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="26736" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="26740" class="Symbol">(</a><a id="26741" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="26749" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="26758" class="Symbol">(</a><a id="26759" href="Categories.Object.Product.Core.html#854" class="Function">⟨⟩-cong₂</a> <a id="26768" class="Symbol">(</a><a id="26769" href="Categories.Category.Core.html#1096" class="Function">identityˡ</a> <a id="26779" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="26781" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="26789" href="Categories.Category.Core.html#1096" class="Function">identityˡ</a><a id="26798" class="Symbol">)</a> <a id="26800" class="Symbol">(</a><a id="26801" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="26809" class="Symbol">(</a><a id="26810" href="Categories.Object.Product.Core.html#854" class="Function">⟨⟩-cong₂</a> <a id="26819" class="Symbol">(</a><a id="26820" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="26826" href="Categories.Category.BinaryProducts.html#2391" class="Function">π₁∘⁂</a><a id="26830" class="Symbol">)</a> <a id="26832" href="Categories.Category.BinaryProducts.html#2453" class="Function">π₂∘⁂</a><a id="26836" class="Symbol">)))</a> <a id="26840" class="Symbol">(</a><a id="26841" href="Categories.Object.Product.Core.html#854" class="Function">⟨⟩-cong₂</a> <a id="26850" class="Symbol">(</a><a id="26851" href="Categories.Category.Core.html#1096" class="Function">identityˡ</a> <a id="26861" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="26863" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="26871" href="Categories.Category.Core.html#1096" class="Function">identityˡ</a><a id="26880" class="Symbol">)</a> <a id="26882" class="Symbol">(</a><a id="26883" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="26891" class="Symbol">(</a><a id="26892" href="Categories.Object.Product.Core.html#854" class="Function">⟨⟩-cong₂</a> <a id="26901" class="Symbol">(</a><a id="26902" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="26908" href="Categories.Category.BinaryProducts.html#2391" class="Function">π₁∘⁂</a><a id="26912" class="Symbol">)</a> <a id="26914" href="Categories.Category.BinaryProducts.html#2453" class="Function">π₂∘⁂</a><a id="26918" class="Symbol">)))</a> <a id="26922" href="Categories.Category.Core.html#2837" class="Function 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href="Categories.Category.Cocartesian.html#2736" class="Function">∘[]</a><a id="27799" class="Symbol">)</a> <a id="27801" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">⟩</a>
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              <a id="28081" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="28095" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="28097" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="28099" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="28103" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="28105" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="28108" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="28110" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="28113" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="28115" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="28129" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="28131" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="28133" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="28136" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="28138" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="28141" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="28143" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="28146" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="28148" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a>                                                                                                                                                <a id="28293" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="28296" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="28300" class="Symbol">(</a><a id="28301" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="28309" href="Categories.Category.BinaryProducts.html#2599" class="Function">⁂∘⟨⟩</a><a id="28313" class="Symbol">)</a> <a id="28315" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
              <a id="28331" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="28345" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="28347" class="Symbol">(</a><a id="28348" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="28352" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="28354" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a><a id="28367" class="Symbol">)</a> <a id="28369" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="28371" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="28373" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="28376" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="28378" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="28381" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="28383" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟨</a> <a id="28385" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="28388" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="28390" href="Categories.Object.Product.Core.html#526" class="Function">π₁</a> <a id="28393" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">,</a> <a id="28395" href="Categories.Object.Product.Core.html#546" class="Function">π₂</a> <a id="28398" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a> <a id="28400" href="Categories.Category.BinaryProducts.html#1396" class="Function Operator">⟩</a>                                                                                                                                              <a id="28543" href="Relation.Binary.Reasoning.Syntax.html#12283" class="Function Operator">∎</a><a id="28544" class="Symbol">)</a>
<a id="28546" class="Comment">-- {- ⁂ ⊤ ○ </a>
<a id="28559" class="Comment">-- Diagram for identityˡ&#39;:</a>
<a id="28586" class="Comment">-- https://q.uiver.app/#q=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</a>
<a id="29265" class="Comment">-- -}</a>
        <a id="29279" href="Monad.Instance.Delay.Strong.html#29279" class="Function">commute&#39;</a> <a id="29288" class="Symbol">:</a> <a id="29290" class="Symbol">∀</a> <a id="29292" class="Symbol">{</a><a id="29293" href="Monad.Instance.Delay.Strong.html#29293" class="Bound">P₁</a> <a id="29296" class="Symbol">:</a> <a id="29298" href="Categories.Category.Core.html#559" class="Field">Category.Obj</a> <a id="29311" class="Symbol">(</a><a id="29312" href="Monad.Instance.Delay.Strong.html#624" class="Function">CProduct</a> <a id="29321" href="Category.Ambient.html#1757" class="Function">C</a> <a id="29323" href="Category.Ambient.html#1757" class="Function">C</a><a id="29324" class="Symbol">)}</a> <a id="29327" class="Symbol">{</a><a id="29328" href="Monad.Instance.Delay.Strong.html#29328" class="Bound">P₂</a> <a id="29331" class="Symbol">:</a> <a id="29333" href="Categories.Category.Core.html#559" class="Field">Category.Obj</a> <a id="29346" class="Symbol">(</a><a id="29347" href="Monad.Instance.Delay.Strong.html#624" class="Function">CProduct</a> <a id="29356" href="Category.Ambient.html#1757" class="Function">C</a> <a id="29358" href="Category.Ambient.html#1757" class="Function">C</a><a id="29359" class="Symbol">)}</a> <a id="29362" class="Symbol">(</a><a id="29363" href="Monad.Instance.Delay.Strong.html#29363" class="Bound">fg</a> <a id="29366" class="Symbol">:</a> <a id="29368" href="Categories.Category.html#502" class="Function Operator">_[_,_]</a> <a id="29375" class="Symbol">(</a><a id="29376" href="Monad.Instance.Delay.Strong.html#624" class="Function">CProduct</a> <a id="29385" href="Category.Ambient.html#1757" class="Function">C</a> <a id="29387" href="Category.Ambient.html#1757" class="Function">C</a><a id="29388" class="Symbol">)</a> <a id="29390" href="Monad.Instance.Delay.Strong.html#29293" class="Bound">P₁</a> <a id="29393" href="Monad.Instance.Delay.Strong.html#29328" class="Bound">P₂</a><a id="29395" class="Symbol">)</a> 
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        <a id="29516" href="Monad.Instance.Delay.Strong.html#29279" class="Function">commute&#39;</a> <a id="29525" class="Symbol">{(</a><a id="29527" href="Monad.Instance.Delay.Strong.html#29527" class="Bound">U</a> <a id="29529" href="Agda.Builtin.Sigma.html#235" class="InductiveConstructor Operator">,</a> <a id="29531" href="Monad.Instance.Delay.Strong.html#29531" class="Bound">V</a><a id="29532" class="Symbol">)}</a> <a id="29535" class="Symbol">{(</a><a id="29537" href="Monad.Instance.Delay.Strong.html#29537" class="Bound">W</a> <a id="29539" href="Agda.Builtin.Sigma.html#235" class="InductiveConstructor Operator">,</a> <a id="29541" href="Monad.Instance.Delay.Strong.html#29541" class="Bound">X</a><a id="29542" class="Symbol">)}</a> <a id="29545" class="Symbol">(</a><a id="29546" href="Monad.Instance.Delay.Strong.html#29546" class="Bound">f</a> <a id="29548" href="Agda.Builtin.Sigma.html#235" class="InductiveConstructor Operator">,</a> <a id="29550" href="Monad.Instance.Delay.Strong.html#29550" class="Bound">g</a><a id="29551" class="Symbol">)</a> <a id="29553" class="Symbol">=</a> <a id="29555" href="Relation.Binary.Reasoning.Syntax.html#1510" class="Function Operator">begin</a> 
          <a id="29572" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="29574" class="Symbol">_</a> <a id="29576" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="29578" class="Symbol">(</a><a id="29579" href="Monad.Instance.Delay.Strong.html#29546" class="Bound">f</a> <a id="29581" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="29583" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="29590" class="Symbol">(</a><a id="29591" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="29595" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="29597" href="Monad.Instance.Delay.Strong.html#29550" class="Bound">g</a><a id="29598" class="Symbol">))</a> <a id="29601" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="29604" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="29608" class="Symbol">(</a><a id="29609" href="Categories.Object.Terminal.html#605" class="Function">!-unique</a> <a id="29618" class="Symbol">(</a><a id="29619" class="Keyword">record</a> <a id="29626" class="Symbol">{</a> <a id="29628" href="Categories.Functor.Coalgebra.html#1411" class="Field">f</a> <a id="29630" class="Symbol">=</a> <a id="29632" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a> <a id="29634" class="Symbol">_</a> <a id="29636" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="29638" class="Symbol">(</a><a id="29639" href="Monad.Instance.Delay.Strong.html#29546" class="Bound">f</a> <a id="29641" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="29643" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="29650" class="Symbol">(</a><a id="29651" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="29655" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="29657" href="Monad.Instance.Delay.Strong.html#29550" class="Bound">g</a><a id="29658" class="Symbol">))</a> <a id="29661" class="Symbol">;</a> <a id="29663" href="Categories.Functor.Coalgebra.html#1433" class="Field">commutes</a> <a id="29672" class="Symbol">=</a> <a id="29674" href="Relation.Binary.Reasoning.Syntax.html#1510" class="Function Operator">begin</a> 
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</pre>