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

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<pre class="Agda"><a id="592" class="Keyword">module</a> <a id="599" href="Monad.Instance.Delay.Commutative.html" class="Module">Monad.Instance.Delay.Commutative</a> <a id="632" class="Symbol">{</a><a id="633" href="Monad.Instance.Delay.Commutative.html#633" class="Bound">o</a> <a id="635" href="Monad.Instance.Delay.Commutative.html#635" class="Bound">ℓ</a> <a id="637" href="Monad.Instance.Delay.Commutative.html#637" class="Bound">e</a><a id="638" class="Symbol">}</a> <a id="640" class="Symbol">(</a><a id="641" href="Monad.Instance.Delay.Commutative.html#641" class="Bound">ambient</a> <a id="649" class="Symbol">:</a> <a id="651" href="Category.Ambient.html#1681" class="Record">Ambient</a> <a id="659" href="Monad.Instance.Delay.Commutative.html#633" class="Bound">o</a> <a id="661" href="Monad.Instance.Delay.Commutative.html#635" class="Bound">ℓ</a> <a id="663" href="Monad.Instance.Delay.Commutative.html#637" class="Bound">e</a><a id="664" class="Symbol">)</a> <a id="666" class="Symbol">(</a><a id="667" href="Monad.Instance.Delay.Commutative.html#667" class="Bound">D</a> <a id="669" class="Symbol">:</a> <a id="671" href="Monad.Instance.Delay.html#1692" class="Record">DelayM</a> <a id="678" href="Monad.Instance.Delay.Commutative.html#641" class="Bound">ambient</a><a id="685" class="Symbol">)</a> <a id="687" class="Keyword">where</a>
  <a id="695" class="Keyword">open</a> <a id="700" href="Category.Ambient.html#1681" class="Module">Ambient</a> <a id="708" href="Monad.Instance.Delay.Commutative.html#641" class="Bound">ambient</a>
  <a id="718" class="Keyword">open</a> <a id="723" href="Categories.Category.Core.html#2462" class="Module">HomReasoning</a>
  <a id="738" class="Keyword">open</a> <a id="743" href="Categories.Category.Core.html#1530" class="Module">Equiv</a>
  <a id="751" class="Keyword">open</a> <a id="756" href="Category.Ambient.html#9087" class="Module">MR</a> <a id="759" href="Category.Ambient.html#1757" class="Function">C</a>
  <a id="763" class="Keyword">open</a> <a id="768" href="Category.Ambient.html#9069" class="Module">M</a> <a id="770" href="Category.Ambient.html#1757" class="Function">C</a>
  <a id="774" class="Keyword">open</a> <a id="779" href="Categories.Functor.Coalgebra.html#1350" class="Module">F-Coalgebra-Morphism</a> <a id="800" class="Keyword">using</a> <a id="806" class="Symbol">()</a> <a id="809" class="Keyword">renaming</a> <a id="818" class="Symbol">(</a><a id="819" href="Categories.Functor.Coalgebra.html#1411" class="Field">f</a> <a id="821" class="Symbol">to</a> <a id="824" class="Field">u</a><a id="825" class="Symbol">;</a> <a id="827" href="Categories.Functor.Coalgebra.html#1433" class="Field">commutes</a> <a id="836" class="Symbol">to</a> <a id="839" class="Field">u-commutes</a><a id="849" class="Symbol">)</a>
  <a id="853" class="Keyword">open</a> <a id="858" class="Keyword">import</a> <a id="865" href="Categories.Morphism.Properties.html" class="Module">Categories.Morphism.Properties</a> <a id="896" href="Category.Ambient.html#1757" class="Function">C</a>
  <a id="900" class="Keyword">open</a> <a id="905" href="Categories.Object.Terminal.html#860" class="Module">Terminal</a> <a id="914" class="Keyword">using</a> <a id="920" class="Symbol">(</a><a id="921" href="Categories.Object.Terminal.html#577" class="Function">!</a><a id="922" class="Symbol">;</a> <a id="924" href="Categories.Object.Terminal.html#605" class="Function">!-unique</a><a id="932" class="Symbol">;</a> <a id="934" href="Categories.Object.Terminal.html#905" class="Field">⊤</a><a id="935" class="Symbol">)</a>

  <a id="940" class="Keyword">open</a> <a id="945" href="Monad.Instance.Delay.html#1692" class="Module">DelayM</a> <a id="952" href="Monad.Instance.Delay.Commutative.html#667" class="Bound">D</a>
  <a id="956" class="Keyword">open</a> <a id="961" class="Keyword">import</a> <a id="968" href="Monad.Instance.Delay.Strong.html" class="Module">Monad.Instance.Delay.Strong</a> <a id="996" href="Monad.Instance.Delay.Commutative.html#641" class="Bound">ambient</a> <a id="1004" href="Monad.Instance.Delay.Commutative.html#667" class="Bound">D</a>
  <a id="1008" class="Keyword">open</a> <a id="1013" href="Categories.Functor.Core.html#248" class="Module">Functor</a> <a id="1021" href="Monad.Instance.Delay.html#23378" class="Function">functor</a> <a id="1029" class="Keyword">using</a> <a id="1035" class="Symbol">()</a> <a id="1038" class="Keyword">renaming</a> <a id="1047" class="Symbol">(</a><a id="1048" href="Categories.Functor.Core.html#455" class="Field">F₁</a> <a id="1051" class="Symbol">to</a> <a id="1054" class="Field">D₁</a><a id="1056" class="Symbol">;</a> <a id="1058" href="Categories.Functor.Core.html#511" class="Field">identity</a> <a id="1067" class="Symbol">to</a> <a id="1070" class="Field">D-identity</a><a id="1080" class="Symbol">;</a> <a id="1082" href="Categories.Functor.Core.html#565" class="Field">homomorphism</a> <a id="1095" class="Symbol">to</a> <a id="1098" class="Field">D-homomorphism</a><a id="1112" class="Symbol">;</a> <a id="1114" href="Categories.Functor.Core.html#696" class="Field">F-resp-≈</a> <a id="1123" class="Symbol">to</a> <a id="1126" class="Field">D-resp-≈</a><a id="1134" class="Symbol">)</a>
  <a id="1138" class="Keyword">open</a> <a id="1143" href="Monad.Instance.Delay.Commutative.html#433" class="Module">RMonad</a> <a id="1150" href="Monad.Instance.Delay.html#19476" class="Function">kleisli</a> <a id="1158" class="Keyword">using</a> <a id="1164" class="Symbol">(</a><a id="1165" href="Categories.Monad.Relative.html#895" class="Field">extend</a><a id="1171" class="Symbol">;</a> <a id="1173" href="Categories.Monad.Relative.html#1306" class="Field">extend-≈</a><a id="1181" class="Symbol">)</a> <a id="1183" class="Keyword">renaming</a> <a id="1192" class="Symbol">(</a><a id="1193" href="Categories.Monad.Relative.html#1078" class="Field">assoc</a> <a id="1199" class="Symbol">to</a> <a id="1202" class="Field">k-assoc</a><a id="1209" class="Symbol">;</a> <a id="1211" href="Categories.Monad.Relative.html#953" class="Field">identityʳ</a> <a id="1221" class="Symbol">to</a> <a id="1224" class="Field">k-identityʳ</a><a id="1235" class="Symbol">;</a> <a id="1237" href="Categories.Monad.Relative.html#1025" class="Field">identityˡ</a> <a id="1247" class="Symbol">to</a> <a id="1250" class="Field">k-identityˡ</a><a id="1261" class="Symbol">)</a>
  <a id="1265" class="Keyword">open</a> <a id="1270" href="Categories.Monad.html#454" class="Module">Monad</a> <a id="1276" href="Monad.Instance.Delay.html#23281" class="Function">monad</a> <a id="1282" class="Keyword">using</a> <a id="1288" class="Symbol">(</a><a id="1289" href="Categories.Monad.html#547" class="Field">η</a><a id="1290" class="Symbol">;</a> <a id="1292" href="Categories.Monad.html#583" class="Field">μ</a><a id="1293" class="Symbol">)</a>
  <a id="1297" class="Keyword">open</a> <a id="1302" href="Categories.NaturalTransformation.Core.html#466" class="Module">NaturalTransformation</a> <a id="1324" class="Symbol">(</a><a id="1325" href="Categories.Monad.Strong.html#1060" class="Function">StrongMonad.strengthen</a> <a id="1348" href="Monad.Instance.Delay.Strong.html#32865" class="Function">strongMonad</a><a id="1359" class="Symbol">)</a> <a id="1361" class="Keyword">using</a> <a id="1367" class="Symbol">()</a> <a id="1370" class="Keyword">renaming</a> <a id="1379" class="Symbol">(</a><a id="1380" href="Categories.NaturalTransformation.Core.html#827" class="Field">commute</a> <a id="1388" class="Symbol">to</a> <a id="1391" class="Field">τ-commute</a><a id="1400" class="Symbol">)</a>
</pre>
# The Delay Monad is commutative

<pre class="Agda">  <a id="commutativeMonad"></a><a id="1451" href="Monad.Instance.Delay.Commutative.html#1451" class="Function">commutativeMonad</a> <a id="1468" class="Symbol">:</a> <a id="1470" href="Categories.Monad.Commutative.html#715" class="Record">Commutative</a> <a id="1482" href="Category.Ambient.html#2445" class="Function">braided</a> <a id="1490" href="Monad.Instance.Delay.Strong.html#32865" class="Function">strongMonad</a>
  <a id="1504" href="Monad.Instance.Delay.Commutative.html#1451" class="Function">commutativeMonad</a> <a id="1521" class="Symbol">=</a> <a id="1523" class="Keyword">record</a> <a id="1530" class="Symbol">{</a> <a id="1532" href="Categories.Monad.Commutative.html#1113" class="Field">commutes</a> <a id="1541" class="Symbol">=</a> <a id="1543" class="Symbol">λ</a> <a id="1545" class="Symbol">{</a><a id="1546" href="Monad.Instance.Delay.Commutative.html#1546" class="Bound">X</a><a id="1547" class="Symbol">}</a> <a id="1549" class="Symbol">{</a><a id="1550" href="Monad.Instance.Delay.Commutative.html#1550" class="Bound">Y</a><a id="1551" class="Symbol">}</a> <a id="1553" class="Symbol">→</a> <a id="1555" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="1561" class="Symbol">(</a><a id="1562" href="Category.Ambient.html#9162" class="Function">Kleisli⇒Monad⇒Kleisli</a> <a id="1584" href="Monad.Instance.Delay.html#19476" class="Function">kleisli</a> <a id="1592" class="Symbol">_)</a> <a id="1595" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="1597" href="Monad.Instance.Delay.Commutative.html#4601" class="Function">commutes&#39;</a> <a id="1607" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="1609" href="Categories.Morphism.Reasoning.Core.html#2485" class="Function">pushˡ</a> <a id="1615" class="Symbol">(</a><a id="1616" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="1620" class="Symbol">(</a><a id="1621" href="Category.Ambient.html#9162" class="Function">Kleisli⇒Monad⇒Kleisli</a> <a id="1643" href="Monad.Instance.Delay.html#19476" class="Function">kleisli</a> <a id="1651" class="Symbol">_))</a> <a id="1655" class="Symbol">}</a>
    <a id="1661" class="Keyword">where</a>
      <a id="1673" class="Keyword">open</a> <a id="1678" href="Monad.Instance.Delay.Strong.html#1242" class="Module">τ-mod</a> <a id="1684" class="Keyword">hiding</a> <a id="1691" class="Symbol">(</a><a id="1692" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ</a><a id="1693" class="Symbol">)</a>
      <a id="1701" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="1703" class="Symbol">:</a> <a id="1705" class="Symbol">∀</a> <a id="1707" class="Symbol">{</a><a id="1708" href="Monad.Instance.Delay.Commutative.html#1708" class="Bound">X</a> <a id="1710" href="Monad.Instance.Delay.Commutative.html#1710" class="Bound">Y</a><a id="1711" class="Symbol">}</a> <a id="1713" class="Symbol">→</a> <a id="1715" href="Monad.Instance.Delay.Commutative.html#1708" class="Bound">X</a> <a id="1717" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="1719" href="Monad.Instance.Delay.html#7773" class="Function">D₀</a> <a id="1722" href="Monad.Instance.Delay.Commutative.html#1710" class="Bound">Y</a> <a id="1724" href="Categories.Category.Core.html#575" class="Function Operator">⇒</a> <a id="1726" href="Monad.Instance.Delay.html#7773" class="Function">D₀</a> <a id="1729" class="Symbol">(</a><a id="1730" href="Monad.Instance.Delay.Commutative.html#1708" class="Bound">X</a> <a id="1732" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="1734" href="Monad.Instance.Delay.Commutative.html#1710" class="Bound">Y</a><a id="1735" class="Symbol">)</a>
      <a id="1743" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="1745" class="Symbol">{</a><a id="1746" href="Monad.Instance.Delay.Commutative.html#1746" class="Bound">X</a><a id="1747" class="Symbol">}</a> <a id="1749" class="Symbol">{</a><a id="1750" href="Monad.Instance.Delay.Commutative.html#1750" class="Bound">Y</a><a id="1751" class="Symbol">}</a> <a id="1753" class="Symbol">=</a> <a id="1755" href="Monad.Instance.Delay.Strong.html#1390" class="Function">τ-mod.τ</a> <a id="1763" class="Symbol">(</a><a id="1764" href="Monad.Instance.Delay.Commutative.html#1746" class="Bound">X</a> <a id="1766" href="Agda.Builtin.Sigma.html#235" class="InductiveConstructor Operator">,</a> <a id="1768" href="Monad.Instance.Delay.Commutative.html#1750" class="Bound">Y</a><a id="1769" class="Symbol">)</a>
      <a id="1777" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="1779" class="Symbol">:</a> <a id="1781" class="Symbol">∀</a> <a id="1783" class="Symbol">{</a><a id="1784" href="Monad.Instance.Delay.Commutative.html#1784" class="Bound">X</a> <a id="1786" href="Monad.Instance.Delay.Commutative.html#1786" class="Bound">Y</a><a id="1787" class="Symbol">}</a> <a id="1789" class="Symbol">→</a> <a id="1791" href="Monad.Instance.Delay.html#7773" class="Function">D₀</a> <a id="1794" href="Monad.Instance.Delay.Commutative.html#1784" class="Bound">X</a> <a id="1796" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="1798" href="Monad.Instance.Delay.Commutative.html#1786" class="Bound">Y</a> <a id="1800" href="Categories.Category.Core.html#575" class="Function Operator">⇒</a> <a id="1802" href="Monad.Instance.Delay.html#7773" class="Function">D₀</a> <a id="1805" class="Symbol">(</a><a id="1806" href="Monad.Instance.Delay.Commutative.html#1784" class="Bound">X</a> <a id="1808" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="1810" href="Monad.Instance.Delay.Commutative.html#1786" class="Bound">Y</a><a id="1811" class="Symbol">)</a>
      <a id="1819" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="1821" class="Symbol">{</a><a id="1822" href="Monad.Instance.Delay.Commutative.html#1822" class="Bound">X</a><a id="1823" class="Symbol">}</a> <a id="1825" class="Symbol">{</a><a id="1826" href="Monad.Instance.Delay.Commutative.html#1826" class="Bound">Y</a><a id="1827" class="Symbol">}</a> <a id="1829" class="Symbol">=</a> <a id="1831" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="1834" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="1839" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1841" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="1843" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1845" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a>
      <a id="1856" href="Monad.Instance.Delay.Commutative.html#1856" class="Function">σ-coalg</a> <a id="1864" class="Symbol">:</a> <a id="1866" class="Symbol">∀</a> <a id="1868" class="Symbol">(</a><a id="1869" href="Monad.Instance.Delay.Commutative.html#1869" class="Bound">X</a> <a id="1871" href="Monad.Instance.Delay.Commutative.html#1871" class="Bound">Y</a> <a id="1873" class="Symbol">:</a> <a id="1875" href="Categories.Category.Core.html#559" class="Function">Obj</a><a id="1878" class="Symbol">)</a> <a id="1880" class="Symbol">→</a> <a id="1882" href="Categories.Functor.Coalgebra.html#1350" class="Record">F-Coalgebra-Morphism</a> <a id="1903" class="Symbol">{</a><a id="1904" class="Argument">F</a> <a id="1906" class="Symbol">=</a> <a id="1908" class="Symbol">(</a><a id="1909" href="Monad.Instance.Delay.Commutative.html#1869" class="Bound">X</a> <a id="1911" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="1913" href="Monad.Instance.Delay.Commutative.html#1871" class="Bound">Y</a><a id="1914" class="Symbol">)</a> <a id="1916" href="Categories.Category.Cocartesian.html#3335" class="Function Operator">+-</a> <a id="1919" class="Symbol">}</a> <a id="1921" class="Symbol">(</a><a id="1922" class="Keyword">record</a> <a id="1929" class="Symbol">{</a> <a id="1931" href="Categories.Functor.Coalgebra.html#571" class="Field">A</a> <a id="1933" class="Symbol">=</a> <a id="1935" href="Monad.Instance.Delay.html#7773" class="Function">D₀</a> <a id="1938" href="Monad.Instance.Delay.Commutative.html#1869" class="Bound">X</a> <a id="1940" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="1942" href="Monad.Instance.Delay.Commutative.html#1871" class="Bound">Y</a> <a id="1944" class="Symbol">;</a> <a id="1946" href="Categories.Functor.Coalgebra.html#585" class="Field">α</a> <a id="1948" class="Symbol">=</a> <a id="1950" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="1964" class="Symbol">{</a><a id="1965" href="Monad.Instance.Delay.Commutative.html#1871" class="Bound">Y</a><a id="1966" class="Symbol">}</a> <a id="1968" class="Symbol">{</a><a id="1969" href="Monad.Instance.Delay.Commutative.html#1869" class="Bound">X</a><a id="1970" class="Symbol">}</a> <a id="1972" class="Symbol">{</a><a id="1973" href="Monad.Instance.Delay.html#7773" class="Function">D₀</a> <a id="1976" href="Monad.Instance.Delay.Commutative.html#1869" class="Bound">X</a><a id="1977" class="Symbol">}</a> <a id="1979" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="1981" class="Symbol">(</a><a id="1982" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="1986" class="Symbol">{</a><a id="1987" href="Monad.Instance.Delay.Commutative.html#1869" class="Bound">X</a><a id="1988" class="Symbol">}</a> <a id="1990" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="1992" href="Category.Ambient.html#2115" class="Function">idC</a><a id="1995" class="Symbol">)</a> <a id="1997" class="Symbol">})</a> <a id="2000" class="Symbol">(</a><a id="2001" class="Keyword">record</a> <a id="2008" class="Symbol">{</a> <a id="2010" href="Categories.Functor.Coalgebra.html#571" class="Field">A</a> <a id="2012" class="Symbol">=</a> <a id="2014" href="Monad.Instance.Delay.html#7773" class="Function">D₀</a> <a id="2017" class="Symbol">(</a><a id="2018" href="Monad.Instance.Delay.Commutative.html#1869" class="Bound">X</a> <a id="2020" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="2022" href="Monad.Instance.Delay.Commutative.html#1871" class="Bound">Y</a><a id="2023" class="Symbol">)</a> <a id="2025" class="Symbol">;</a> <a id="2027" href="Categories.Functor.Coalgebra.html#585" class="Field">α</a> <a id="2029" class="Symbol">=</a> <a id="2031" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="2035" class="Symbol">{</a><a id="2036" href="Monad.Instance.Delay.Commutative.html#1869" class="Bound">X</a> <a id="2038" href="Categories.Category.BinaryProducts.html#1053" class="Function Operator">×</a> <a id="2040" href="Monad.Instance.Delay.Commutative.html#1871" class="Bound">Y</a><a id="2041" class="Symbol">}</a> <a id="2043" class="Symbol">})</a>
      <a id="2052" href="Monad.Instance.Delay.Commutative.html#1856" class="Function">σ-coalg</a> <a id="2060" href="Monad.Instance.Delay.Commutative.html#2060" class="Bound">X</a> <a id="2062" href="Monad.Instance.Delay.Commutative.html#2062" class="Bound">Y</a> <a id="2064" class="Symbol">=</a> <a id="2066" class="Keyword">record</a> <a id="2073" class="Symbol">{</a> <a id="2075" href="Categories.Functor.Coalgebra.html#1411" class="Field">f</a> <a id="2077" class="Symbol">=</a> <a id="2079" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="2081" class="Symbol">;</a> <a id="2083" href="Categories.Functor.Coalgebra.html#1433" class="Field">commutes</a> <a id="2092" class="Symbol">=</a> <a id="2094" href="Relation.Binary.Reasoning.Syntax.html#1510" class="Function Operator">begin</a> 
        <a id="2109" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="2113" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2115" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a>                                                                         <a id="2189" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="2192" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="2198" class="Symbol">(</a><a id="2199" href="Monad.Instance.Delay.html#19104" class="Function">out-law</a> <a id="2207" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a><a id="2211" class="Symbol">)</a> <a id="2213" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="2224" class="Symbol">((</a><a id="2226" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="2231" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="2234" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="2237" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a><a id="2241" class="Symbol">)</a> <a id="2243" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2245" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="2248" class="Symbol">)</a> <a id="2250" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2252" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="2254" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2256" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a>                                            <a id="2304" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="2307" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="2313" class="Symbol">(</a><a id="2314" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="2320" class="Symbol">(</a><a id="2321" href="Monad.Instance.Delay.Strong.html#1503" class="Function">τ-law</a> <a id="2327" class="Symbol">(</a><a id="2328" href="Monad.Instance.Delay.Commutative.html#2062" class="Bound">Y</a> <a id="2330" href="Agda.Builtin.Sigma.html#235" class="InductiveConstructor Operator">,</a> <a id="2332" href="Monad.Instance.Delay.Commutative.html#2060" class="Bound">X</a><a id="2333" class="Symbol">)))</a> <a id="2337" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="2348" class="Symbol">((</a><a id="2350" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="2355" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="2358" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="2361" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a><a id="2365" class="Symbol">)</a> <a id="2367" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2369" class="Symbol">(</a><a id="2370" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="2374" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="2377" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="2378" class="Symbol">)</a> <a id="2380" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2382" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="2396" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2398" class="Symbol">(</a><a id="2399" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="2403" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="2405" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="2408" class="Symbol">))</a> <a id="2411" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2413" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a>           <a id="2428" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="2431" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="2437" class="Symbol">(</a><a id="2438" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="2444" class="Symbol">(</a><a id="2445" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="2451" class="Symbol">(</a><a id="2452" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="2456" href="Categories.Category.BinaryProducts.html#4512" class="Function">swap∘⁂</a><a id="2462" class="Symbol">)))</a> <a id="2466" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="2477" class="Symbol">(</a><a id="2478" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="2483" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="2486" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="2489" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a><a id="2493" class="Symbol">)</a> <a id="2495" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2497" class="Symbol">(</a><a id="2498" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="2502" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="2505" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="2506" class="Symbol">)</a> <a id="2508" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2510" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="2524" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2526" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="2531" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2533" class="Symbol">(</a><a id="2534" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="2538" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="2540" href="Category.Ambient.html#2115" class="Function">idC</a><a id="2543" class="Symbol">)</a>             <a id="2557" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="2560" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="2568" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="2576" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="2582" href="Categories.Category.Distributive.Properties.html#5762" class="Function">distributeˡ⁻¹∘swap</a> <a id="2601" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="2612" class="Symbol">(</a><a id="2613" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="2618" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="2621" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="2624" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a><a id="2628" class="Symbol">)</a> <a id="2630" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2632" class="Symbol">(</a><a id="2633" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="2637" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="2640" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="2641" class="Symbol">)</a> <a id="2643" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2645" class="Symbol">((</a><a id="2647" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="2652" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="2655" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a><a id="2659" class="Symbol">)</a> <a id="2661" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2663" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a><a id="2676" class="Symbol">)</a> <a id="2678" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2680" class="Symbol">(</a><a id="2681" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="2685" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="2687" href="Category.Ambient.html#2115" class="Function">idC</a><a id="2690" class="Symbol">)</a> <a id="2692" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="2695" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="2701" href="Categories.Category.Cocartesian.html#2699" class="Function">+₁∘+₁</a> <a id="2707" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="2718" class="Symbol">(</a><a id="2719" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="2724" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2726" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="2730" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="2733" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="2736" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="2741" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2743" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="2744" class="Symbol">)</a> <a id="2746" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2748" class="Symbol">((</a><a id="2750" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="2755" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="2758" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a><a id="2762" class="Symbol">)</a> <a id="2764" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2766" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a><a id="2779" class="Symbol">)</a> <a id="2781" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2783" class="Symbol">(</a><a id="2784" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="2788" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="2790" href="Category.Ambient.html#2115" class="Function">idC</a><a id="2793" class="Symbol">)</a>    <a id="2798" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="2801" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="2807" class="Symbol">(</a><a id="2808" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="2814" href="Categories.Category.Cocartesian.html#2699" class="Function">+₁∘+₁</a><a id="2819" class="Symbol">)</a> <a id="2821" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="2832" class="Symbol">(((</a><a id="2835" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="2840" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2842" href="Category.Ambient.html#2115" class="Function">idC</a><a id="2845" class="Symbol">)</a> <a id="2847" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2849" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="2854" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="2857" class="Symbol">(</a><a id="2858" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="2861" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="2866" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2868" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="2869" class="Symbol">)</a> <a id="2871" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2873" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a><a id="2877" class="Symbol">)</a> <a id="2879" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2881" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a><a id="2894" class="Symbol">)</a> <a id="2896" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="2898" class="Symbol">(</a><a id="2899" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="2903" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="2905" href="Category.Ambient.html#2115" class="Function">idC</a><a id="2908" class="Symbol">)</a>   <a id="2912" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="2915" class="Symbol">((</a><a id="2917" href="Categories.Category.Cocartesian.html#2622" class="Function">+₁-cong₂</a> <a id="2926" class="Symbol">(</a><a id="2927" href="Categories.Category.Core.html#1145" class="Function">identityʳ</a> <a id="2937" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="2945" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="2947" href="Categories.Category.BinaryProducts.html#4688" class="Function">swap∘swap</a><a id="2956" class="Symbol">)</a> <a id="2958" href="Categories.Category.Core.html#715" class="Function">assoc</a><a id="2963" class="Symbol">)</a> <a id="2965" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a><a id="2972" class="Symbol">)</a> <a id="2974" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="2982" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="2993" class="Symbol">((</a><a id="2995" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="2999" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="3002" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="3005" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="3010" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3012" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="3014" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3016" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a><a id="3020" class="Symbol">)</a> <a id="3022" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3024" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a><a id="3037" class="Symbol">)</a> <a id="3039" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3041" class="Symbol">(</a><a id="3042" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="3046" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="3048" href="Category.Ambient.html#2115" class="Function">idC</a><a id="3051" class="Symbol">)</a>                     <a id="3073" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="3076" href="Categories.Category.Core.html#715" class="Function">assoc</a> <a id="3082" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="3093" class="Symbol">(</a><a id="3094" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="3098" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="3101" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a><a id="3102" class="Symbol">)</a> <a id="3104" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3106" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="3120" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3122" class="Symbol">(</a><a id="3123" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="3127" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="3129" href="Category.Ambient.html#2115" class="Function">idC</a><a id="3132" class="Symbol">)</a>                                        <a id="3173" href="Relation.Binary.Reasoning.Syntax.html#12283" class="Function Operator">∎</a> <a id="3175" class="Symbol">}</a>
      <a id="3183" href="Monad.Instance.Delay.Commutative.html#3183" class="Function">σ-helper</a> <a id="3192" class="Symbol">:</a> <a id="3194" class="Symbol">∀</a> <a id="3196" class="Symbol">{</a><a id="3197" href="Monad.Instance.Delay.Commutative.html#3197" class="Bound">X</a> <a id="3199" href="Monad.Instance.Delay.Commutative.html#3199" class="Bound">Y</a> <a id="3201" class="Symbol">:</a> <a id="3203" href="Categories.Category.Core.html#559" class="Function">Obj</a><a id="3206" class="Symbol">}</a> <a id="3208" class="Symbol">→</a> <a id="3210" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="3212" class="Symbol">{</a><a id="3213" href="Monad.Instance.Delay.Commutative.html#3197" class="Bound">X</a><a id="3214" class="Symbol">}</a> <a id="3216" class="Symbol">{</a><a id="3217" href="Monad.Instance.Delay.Commutative.html#3199" class="Bound">Y</a><a id="3218" class="Symbol">}</a> <a id="3220" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3222" class="Symbol">(</a><a id="3223" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="3229" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="3231" href="Category.Ambient.html#2115" class="Function">idC</a><a id="3234" class="Symbol">)</a> <a id="3236" href="Categories.Category.Core.html#595" class="Function Operator">≈</a> <a id="3238" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="3244" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3246" class="Symbol">(</a><a id="3247" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="3251" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="3254" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a><a id="3255" class="Symbol">)</a> <a id="3257" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3259" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a>
      <a id="3279" href="Monad.Instance.Delay.Commutative.html#3183" class="Function">σ-helper</a> <a id="3288" class="Symbol">{</a><a id="3289" href="Monad.Instance.Delay.Commutative.html#3289" class="Bound">X</a><a id="3290" class="Symbol">}</a> <a id="3292" class="Symbol">{</a><a id="3293" href="Monad.Instance.Delay.Commutative.html#3293" class="Bound">Y</a><a id="3294" class="Symbol">}</a> <a id="3296" class="Symbol">=</a> <a id="3298" href="Relation.Binary.Reasoning.Syntax.html#1510" class="Function Operator">begin</a> 
        <a id="3313" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="3315" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3317" class="Symbol">(</a><a id="3318" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="3324" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="3326" href="Category.Ambient.html#2115" class="Function">idC</a><a id="3329" class="Symbol">)</a>                                                  <a id="3380" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="3383" href="Categories.Morphism.Reasoning.Core.html#3063" class="Function">introˡ</a> <a id="3390" class="Symbol">(</a><a id="3391" href="Categories.Morphism.html#1586" class="Function">_≅_.isoˡ</a> <a id="3400" href="Monad.Instance.Delay.html#1952" class="Function">out-≅</a><a id="3405" class="Symbol">)</a> <a id="3407" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="3418" class="Symbol">(</a><a id="3419" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="3425" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3427" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="3430" class="Symbol">)</a> <a id="3432" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3434" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="3436" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3438" class="Symbol">(</a><a id="3439" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="3445" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="3447" href="Category.Ambient.html#2115" class="Function">idC</a><a id="3450" class="Symbol">)</a>                                  <a id="3485" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="3488" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="3494" class="Symbol">(</a><a id="3495" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="3501" class="Symbol">(</a><a id="3502" href="Monad.Instance.Delay.Commutative.html#839" class="Field">u-commutes</a> <a id="3513" class="Symbol">(</a><a id="3514" href="Monad.Instance.Delay.Commutative.html#1856" class="Function">σ-coalg</a> <a id="3522" href="Monad.Instance.Delay.Commutative.html#3289" class="Bound">X</a> <a id="3524" href="Monad.Instance.Delay.Commutative.html#3293" class="Bound">Y</a><a id="3525" class="Symbol">)))</a> <a id="3529" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="3540" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="3546" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3548" class="Symbol">((</a><a id="3550" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="3554" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="3557" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a><a id="3558" class="Symbol">)</a> <a id="3560" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3562" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="3576" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3578" class="Symbol">(</a><a id="3579" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="3583" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="3585" href="Category.Ambient.html#2115" class="Function">idC</a><a id="3588" class="Symbol">))</a> <a id="3591" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3593" class="Symbol">(</a><a id="3594" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="3600" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="3602" href="Category.Ambient.html#2115" class="Function">idC</a><a id="3605" class="Symbol">)</a> <a id="3607" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="3610" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="3618" class="Symbol">(</a><a id="3619" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="3625" class="Symbol">(</a><a id="3626" href="Categories.Morphism.Reasoning.Core.html#6665" class="Function">cancelʳ</a> <a id="3634" class="Symbol">(</a><a id="3635" href="Categories.Category.BinaryProducts.html#2881" class="Function">⁂∘⁂</a> <a id="3639" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="3641" href="Categories.Category.BinaryProducts.html#2515" class="Function">⁂-cong₂</a> <a id="3649" class="Symbol">(</a><a id="3650" href="Categories.Morphism.html#1612" class="Function">_≅_.isoʳ</a> <a id="3659" href="Monad.Instance.Delay.html#1952" class="Function">out-≅</a><a id="3664" class="Symbol">)</a> <a id="3666" href="Categories.Category.Core.html#1339" class="Function">identity²</a> <a id="3676" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="3678" href="Category.Ambient.html#2592" class="Function">⟨⟩-unique</a> <a id="3688" href="Categories.Morphism.Reasoning.Core.html#1202" class="Function">id-comm</a> <a id="3696" href="Categories.Morphism.Reasoning.Core.html#1202" class="Function">id-comm</a><a id="3703" class="Symbol">)))</a> <a id="3707" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="3718" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="3724" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3726" class="Symbol">(</a><a id="3727" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="3731" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="3734" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a><a id="3735" class="Symbol">)</a> <a id="3737" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3739" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a>                                 <a id="3785" href="Relation.Binary.Reasoning.Syntax.html#12283" class="Function Operator">∎</a>

      <a id="3794" class="Comment">-- TODO this should be in commutative, it expresses that σ is natural</a>
      <a id="3870" href="Monad.Instance.Delay.Commutative.html#3870" class="Function">σ-commute</a> <a id="3880" class="Symbol">:</a> <a id="3882" class="Symbol">∀</a> <a id="3884" class="Symbol">{</a><a id="3885" href="Monad.Instance.Delay.Commutative.html#3885" class="Bound">U</a> <a id="3887" href="Monad.Instance.Delay.Commutative.html#3887" class="Bound">V</a> <a id="3889" href="Monad.Instance.Delay.Commutative.html#3889" class="Bound">W</a> <a id="3891" href="Monad.Instance.Delay.Commutative.html#3891" class="Bound">X</a> <a id="3893" class="Symbol">:</a> <a id="3895" href="Categories.Category.Core.html#559" class="Function">Obj</a><a id="3898" class="Symbol">}</a> <a id="3900" class="Symbol">(</a><a id="3901" href="Monad.Instance.Delay.Commutative.html#3901" class="Bound">f</a> <a id="3903" class="Symbol">:</a> <a id="3905" href="Monad.Instance.Delay.Commutative.html#3885" class="Bound">U</a> <a id="3907" href="Categories.Category.Core.html#575" class="Function Operator">⇒</a> <a id="3909" href="Monad.Instance.Delay.Commutative.html#3887" class="Bound">V</a><a id="3910" class="Symbol">)</a> <a id="3912" class="Symbol">(</a><a id="3913" href="Monad.Instance.Delay.Commutative.html#3913" class="Bound">g</a> <a id="3915" class="Symbol">:</a> <a id="3917" href="Monad.Instance.Delay.Commutative.html#3889" class="Bound">W</a> <a id="3919" href="Categories.Category.Core.html#575" class="Function Operator">⇒</a> <a id="3921" href="Monad.Instance.Delay.Commutative.html#3891" class="Bound">X</a><a id="3922" class="Symbol">)</a> <a id="3924" class="Symbol">→</a> <a id="3926" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="3928" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3930" class="Symbol">(</a><a id="3931" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="3938" class="Symbol">(</a><a id="3939" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="3943" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3945" href="Monad.Instance.Delay.Commutative.html#3901" class="Bound">f</a><a id="3946" class="Symbol">)</a> <a id="3948" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="3950" href="Monad.Instance.Delay.Commutative.html#3913" class="Bound">g</a><a id="3951" class="Symbol">)</a> <a id="3953" href="Categories.Category.Core.html#595" class="Function Operator">≈</a> <a id="3955" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="3962" class="Symbol">(</a><a id="3963" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="3967" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3969" class="Symbol">(</a><a id="3970" href="Monad.Instance.Delay.Commutative.html#3901" class="Bound">f</a> <a id="3972" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="3974" href="Monad.Instance.Delay.Commutative.html#3913" class="Bound">g</a><a id="3975" class="Symbol">))</a> <a id="3978" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="3980" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a>
      <a id="3988" href="Monad.Instance.Delay.Commutative.html#3870" class="Function">σ-commute</a> <a id="3998" class="Symbol">{</a><a id="3999" href="Monad.Instance.Delay.Commutative.html#3999" class="Bound">U</a><a id="4000" class="Symbol">}</a> <a id="4002" class="Symbol">{</a><a id="4003" href="Monad.Instance.Delay.Commutative.html#4003" class="Bound">V</a><a id="4004" class="Symbol">}</a> <a id="4006" class="Symbol">{</a><a id="4007" href="Monad.Instance.Delay.Commutative.html#4007" class="Bound">W</a><a id="4008" class="Symbol">}</a> <a id="4010" class="Symbol">{</a><a id="4011" href="Monad.Instance.Delay.Commutative.html#4011" class="Bound">X</a><a id="4012" class="Symbol">}</a> <a id="4014" href="Monad.Instance.Delay.Commutative.html#4014" class="Bound">f</a> <a id="4016" href="Monad.Instance.Delay.Commutative.html#4016" class="Bound">g</a> <a id="4018" class="Symbol">=</a> <a id="4020" href="Relation.Binary.Reasoning.Syntax.html#1510" class="Function Operator">begin</a> 
        <a id="4035" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="4037" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4039" class="Symbol">(</a><a id="4040" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="4043" href="Monad.Instance.Delay.Commutative.html#4014" class="Bound">f</a> <a id="4045" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="4047" href="Monad.Instance.Delay.Commutative.html#4016" class="Bound">g</a><a id="4048" class="Symbol">)</a>                              <a id="4079" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="4082" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="4088" class="Symbol">(</a><a id="4089" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="4095" href="Categories.Category.BinaryProducts.html#4512" class="Function">swap∘⁂</a><a id="4101" class="Symbol">)</a> <a id="4103" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="4114" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="4117" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="4122" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4124" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="4126" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4128" class="Symbol">(</a><a id="4129" href="Monad.Instance.Delay.Commutative.html#4016" class="Bound">g</a> <a id="4131" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="4133" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="4140" class="Symbol">(</a><a id="4141" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="4145" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4147" href="Monad.Instance.Delay.Commutative.html#4014" class="Bound">f</a><a id="4148" class="Symbol">))</a> <a id="4151" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4153" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="4158" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="4161" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="4169" class="Symbol">(</a><a id="4170" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="4176" class="Symbol">(</a><a id="4177" href="Monad.Instance.Delay.Commutative.html#1391" class="Function">τ-commute</a> <a id="4187" class="Symbol">(</a><a id="4188" href="Monad.Instance.Delay.Commutative.html#4016" class="Bound">g</a> <a id="4190" href="Agda.Builtin.Sigma.html#235" class="InductiveConstructor Operator">,</a> <a id="4192" href="Monad.Instance.Delay.Commutative.html#4014" class="Bound">f</a><a id="4193" class="Symbol">)))</a> <a id="4197" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="4208" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="4211" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="4216" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4218" class="Symbol">(</a><a id="4219" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="4222" class="Symbol">(</a><a id="4223" href="Monad.Instance.Delay.Commutative.html#4016" class="Bound">g</a> <a id="4225" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="4227" href="Monad.Instance.Delay.Commutative.html#4014" class="Bound">f</a><a id="4228" class="Symbol">)</a> <a id="4230" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4232" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="4233" class="Symbol">)</a> <a id="4235" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4237" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a>           <a id="4252" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="4255" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="4261" class="Symbol">(</a><a id="4262" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="4268" class="Symbol">(</a><a id="4269" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="4273" href="Monad.Instance.Delay.Commutative.html#1098" class="Function">D-homomorphism</a><a id="4287" class="Symbol">))</a> <a id="4290" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="4301" class="Symbol">(</a><a id="4302" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="4305" class="Symbol">(</a><a id="4306" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="4311" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4313" class="Symbol">(</a><a id="4314" href="Monad.Instance.Delay.Commutative.html#4016" class="Bound">g</a> <a id="4316" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="4318" href="Monad.Instance.Delay.Commutative.html#4014" class="Bound">f</a><a id="4319" class="Symbol">))</a> <a id="4322" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4324" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="4325" class="Symbol">)</a> <a id="4327" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4329" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a>            <a id="4345" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="4348" class="Symbol">((</a><a id="4350" href="Monad.Instance.Delay.Commutative.html#1126" class="Function">D-resp-≈</a> <a id="4359" href="Categories.Category.BinaryProducts.html#4512" class="Function">swap∘⁂</a><a id="4365" class="Symbol">)</a> <a id="4367" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a><a id="4374" class="Symbol">)</a> <a id="4376" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="4384" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="4395" class="Symbol">(</a><a id="4396" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="4399" class="Symbol">((</a><a id="4401" href="Monad.Instance.Delay.Commutative.html#4014" class="Bound">f</a> <a id="4403" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="4405" href="Monad.Instance.Delay.Commutative.html#4016" class="Bound">g</a><a id="4406" class="Symbol">)</a> <a id="4408" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4410" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a><a id="4414" class="Symbol">)</a> <a id="4416" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4418" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="4419" class="Symbol">)</a> <a id="4421" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4423" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a>            <a id="4439" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="4442" href="Categories.Morphism.Reasoning.Core.html#2485" class="Function">pushˡ</a> <a id="4448" href="Monad.Instance.Delay.Commutative.html#1098" class="Function">D-homomorphism</a> <a id="4463" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="4471" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="4482" class="Symbol">(</a><a id="4483" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="4486" class="Symbol">(</a><a id="4487" href="Monad.Instance.Delay.Commutative.html#4014" class="Bound">f</a> <a id="4489" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="4491" href="Monad.Instance.Delay.Commutative.html#4016" class="Bound">g</a><a id="4492" class="Symbol">)</a> <a id="4494" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4496" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="4499" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="4504" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4506" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="4507" class="Symbol">)</a> <a id="4509" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4511" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a>           <a id="4526" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="4529" href="Categories.Morphism.Reasoning.Core.html#1551" class="Function">assoc²&#39;</a> <a id="4537" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
        <a id="4548" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="4551" class="Symbol">(</a><a id="4552" href="Monad.Instance.Delay.Commutative.html#4014" class="Bound">f</a> <a id="4554" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="4556" href="Monad.Instance.Delay.Commutative.html#4016" class="Bound">g</a><a id="4557" class="Symbol">)</a> <a id="4559" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4561" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a>                              <a id="4592" href="Relation.Binary.Reasoning.Syntax.html#12283" class="Function Operator">∎</a>

      <a id="4601" href="Monad.Instance.Delay.Commutative.html#4601" class="Function">commutes&#39;</a> <a id="4611" class="Symbol">:</a> <a id="4613" class="Symbol">∀</a> <a id="4615" class="Symbol">{</a><a id="4616" href="Monad.Instance.Delay.Commutative.html#4616" class="Bound">X</a> <a id="4618" href="Monad.Instance.Delay.Commutative.html#4618" class="Bound">Y</a><a id="4619" class="Symbol">}</a> <a id="4621" class="Symbol">→</a> <a id="4623" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="4630" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="4632" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4634" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="4636" class="Symbol">{</a><a id="4637" href="Monad.Instance.Delay.html#7773" class="Function">D₀</a> <a id="4640" href="Monad.Instance.Delay.Commutative.html#4616" class="Bound">X</a><a id="4641" class="Symbol">}</a> <a id="4643" class="Symbol">{</a><a id="4644" href="Monad.Instance.Delay.Commutative.html#4618" class="Bound">Y</a><a id="4645" class="Symbol">}</a> <a id="4647" href="Categories.Category.Core.html#595" class="Function Operator">≈</a> <a id="4649" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="4656" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="4658" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4660" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> 
      <a id="4669" href="Monad.Instance.Delay.Commutative.html#4601" class="Function">commutes&#39;</a> <a id="4679" class="Symbol">{</a><a id="4680" href="Monad.Instance.Delay.Commutative.html#4680" class="Bound">X</a><a id="4681" class="Symbol">}</a> <a id="4683" class="Symbol">{</a><a id="4684" href="Monad.Instance.Delay.Commutative.html#4684" class="Bound">Y</a><a id="4685" class="Symbol">}</a> <a id="4687" class="Symbol">=</a> <a id="4689" href="Monad.Instance.Delay.html#14951" class="Function">guarded-unique</a> <a id="4704" href="Monad.Instance.Delay.Commutative.html#4893" class="Function">g</a> <a id="4706" class="Symbol">(</a><a id="4707" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="4714" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="4716" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4718" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="4719" class="Symbol">)</a> <a id="4721" class="Symbol">(</a><a id="4722" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="4729" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="4731" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="4733" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a><a id="4734" class="Symbol">)</a> <a id="4736" href="Monad.Instance.Delay.Commutative.html#4975" class="Function">guarded</a> <a id="4744" class="Symbol">(</a><a id="4745" href="Monad.Instance.Delay.Commutative.html#23969" class="Function">fixpoint-eq</a> <a id="4757" href="Monad.Instance.Delay.Commutative.html#7086" class="Function">fixpoint₁</a><a id="4766" class="Symbol">)</a> <a id="4768" class="Symbol">(</a><a id="4769" href="Monad.Instance.Delay.Commutative.html#23969" class="Function">fixpoint-eq</a> <a id="4781" href="Monad.Instance.Delay.Commutative.html#18463" class="Function">fixpoint₂</a><a id="4790" class="Symbol">)</a>
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            <a id="6001" class="Symbol">((</a><a id="6003" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="6006" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a><a id="6019" class="Symbol">)</a> <a id="6021" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="6023" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="6024" class="Symbol">)</a> <a id="6026" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="6028" href="Categories.Category.Distributive.html#1143" class="Function">distributeʳ</a>                                                  <a id="6089" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="6092" href="Categories.Category.Cocartesian.html#2736" class="Function">∘[]</a> <a id="6096" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
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href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="11080" class="Symbol">(</a><a id="11081" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="11085" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="11088" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a><a id="11089" class="Symbol">))</a> <a id="11092" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="11094" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="11097" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="11100" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="11102" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="11104" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="11106" href="Monad.Instance.Delay.html#8028" 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id="11147" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="11149" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="11151" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="11153" class="Symbol">(</a><a id="11154" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="11168" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="11171" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a><a id="11184" class="Symbol">)</a> <a id="11186" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="11188" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="11202" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="11204" class="Symbol">(</a><a id="11205" href="Monad.Instance.Delay.html#2116" 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href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="11332" href="Categories.Monad.Relative.html#1306" class="Function">extend-≈</a> <a id="11341" class="Symbol">(</a><a id="11342" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="11348" href="Monad.Instance.Delay.Commutative.html#1224" class="Function">k-identityʳ</a><a id="11359" class="Symbol">))))))</a> <a id="11366" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="11374" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
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            <a id="14017" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="14019" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14023" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="14026" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="14028" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="14030" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="14033" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14035" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="14037" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="14040" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="14045" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14047" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="14049" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14051" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="14056" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="14058" href="Monad.Instance.Delay.html#2255" class="Function">▷</a> <a id="14060" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14062" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="14069" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="14071" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14073" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="14075" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="14077" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="14079" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14081" class="Symbol">(</a><a id="14082" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="14096" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="14099" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a><a id="14112" class="Symbol">)</a> <a id="14114" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14116" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="14130" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14132" class="Symbol">(</a><a id="14133" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="14137" class="Symbol">{</a><a id="14138" href="Monad.Instance.Delay.Commutative.html#4680" class="Bound">X</a><a id="14139" class="Symbol">}</a> <a id="14141" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="14143" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="14147" class="Symbol">{</a><a id="14148" href="Monad.Instance.Delay.Commutative.html#4684" class="Bound">Y</a><a id="14149" class="Symbol">})</a>                        <a id="14175" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="14178" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="14186" href="Monad.Instance.Delay.Commutative.html#15943" class="Function">helper</a> <a id="14193" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
            <a id="14208" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="14210" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14214" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="14217" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="14219" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="14221" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="14224" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14226" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="14228" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="14231" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="14236" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14238" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="14240" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14242" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="14247" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="14249" href="Monad.Instance.Delay.html#2255" class="Function">▷</a> <a id="14251" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14253" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="14260" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="14262" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14264" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="14266" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="14268" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="14270" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14272" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="14274" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="14276" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="14279" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14281" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="14284" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="14286" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="14289" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14291" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="14294" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="14296" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="14298" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="14300" class="Symbol">(</a><a id="14301" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="14304" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14306" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="14308" class="Symbol">)</a> <a id="14310" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="14312" class="Symbol">(</a><a id="14313" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="14316" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14318" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="14320" class="Symbol">)</a> <a id="14322" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="14324" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="14326" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14328" href="Monad.Instance.Delay.Commutative.html#4816" class="Function">w</a>                                     <a id="14366" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="14369" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="14375" href="Categories.Category.Cocartesian.html#2736" class="Function">∘[]</a> <a id="14379" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
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            <a id="14494" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="14496" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="14498" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14502" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="14505" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="14507" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="14509" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="14512" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14514" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="14516" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="14519" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="14524" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14526" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="14528" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14530" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="14535" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="14537" href="Monad.Instance.Delay.html#2255" class="Function">▷</a> <a id="14539" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14541" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="14548" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="14550" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14552" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="14554" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="14556" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="14558" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14560" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="14562" class="Symbol">(</a><a id="14563" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="14566" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14568" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="14570" class="Symbol">)</a> <a id="14572" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="14574" class="Symbol">(</a><a id="14575" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="14578" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14580" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="14582" class="Symbol">)</a> <a id="14584" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="14586" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="14588" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14590" href="Monad.Instance.Delay.Commutative.html#4816" class="Function">w</a>                                                             <a id="14652" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="14655" class="Symbol">(</a><a id="14656" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="14665" href="Categories.Category.Cocartesian.html#2736" class="Function">∘[]</a> <a id="14669" href="Categories.Category.Cocartesian.html#2736" class="Function">∘[]</a><a id="14672" class="Symbol">)</a> <a id="14674" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="14682" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
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href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="14728" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14730" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="14732" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14734" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="14739" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="14741" href="Monad.Instance.Delay.html#2255" class="Function">▷</a> <a id="14743" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14745" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="14752" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="14754" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14756" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="14758" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="14760" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="14762" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14764" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="14767" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14769" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="14772" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="14774" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="14776" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="14780" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="14783" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="14785" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="14787" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="14790" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14792" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="14794" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="14797" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="14802" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14804" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="14806" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="14808" href="Categories.Category.BinaryProducts.html#2048" class="Function">swap</a> <a id="14813" 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                <a id="16134" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="16136" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="16138" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="16141" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="16143" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="16146" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="16148" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="16151" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="16153" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="16156" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="16158" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="16160" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="16162" class="Symbol">(</a><a id="16163" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="16166" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="16168" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="16170" class="Symbol">)</a> <a id="16172" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="16174" class="Symbol">(</a><a id="16175" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="16178" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="16180" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="16182" class="Symbol">)</a> <a id="16184" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="16186" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="16188" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="16190" href="Monad.Instance.Delay.Commutative.html#4816" class="Function">w</a>                                                                                                    <a id="16291" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="16294" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="16300" href="Categories.Category.Cocartesian.html#2662" class="Function">[]∘+₁</a> <a id="16306" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
                <a id="16325" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="16327" class="Symbol">(</a><a id="16328" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="16331" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="16334" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a><a id="16336" class="Symbol">)</a> <a id="16338" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="16340" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="16354" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="16356" class="Symbol">(</a><a id="16357" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="16360" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="16363" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="16365" class="Symbol">)</a> <a id="16367" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="16369" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="16383" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="16385" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="16387" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="16401" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="16403" class="Symbol">(</a><a id="16404" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="16408" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="16410" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="16413" class="Symbol">)</a>                                                                    <a id="16482" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="16485" class="Symbol">(</a><a id="16486" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="16495" class="Symbol">((</a><a id="16497" href="Categories.Category.Cocartesian.html#2622" class="Function">+₁-cong₂</a> <a id="16506" class="Symbol">(</a><a id="16507" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="16511" href="Categories.Category.Distributive.Properties.html#827" class="Function">distributeˡ⁻¹-i₁</a><a id="16527" class="Symbol">)</a> <a id="16529" class="Symbol">(</a><a id="16530" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="16534" href="Categories.Category.Distributive.Properties.html#827" class="Function">distributeˡ⁻¹-i₁</a><a id="16550" class="Symbol">))</a> <a id="16553" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a><a id="16560" class="Symbol">)</a> <a id="16562" class="Symbol">((</a><a id="16564" href="Categories.Category.Cocartesian.html#2622" class="Function">+₁-cong₂</a> <a id="16573" class="Symbol">(</a><a id="16574" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="16578" href="Categories.Category.Distributive.Properties.html#977" class="Function">distributeˡ⁻¹-i₂</a><a id="16594" class="Symbol">)</a> <a id="16596" class="Symbol">(</a><a id="16597" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="16601" href="Categories.Category.Distributive.Properties.html#977" class="Function">distributeˡ⁻¹-i₂</a><a id="16617" class="Symbol">))</a> <a id="16620" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a><a id="16627" class="Symbol">))</a> <a id="16630" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="16638" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
                <a id="16657" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="16659" class="Symbol">(</a><a id="16660" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="16674" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="16676" class="Symbol">(</a><a id="16677" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="16681" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="16683" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a><a id="16685" class="Symbol">)</a> <a id="16687" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="16690" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="16704" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="16706" class="Symbol">(</a><a id="16707" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="16711" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="16713" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a><a id="16715" class="Symbol">))</a> <a id="16718" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="16720" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> 
                <a id="16751" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="16753" class="Symbol">(</a><a id="16754" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="16768" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="16770" class="Symbol">(</a><a id="16771" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="16775" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="16777" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="16779" class="Symbol">)</a> <a id="16781" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="16784" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="16798" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="16800" class="Symbol">(</a><a id="16801" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="16805" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="16807" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="16809" class="Symbol">))</a> <a id="16812" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="16814" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="16828" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="16830" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="16832" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="16846" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="16848" class="Symbol">(</a><a id="16849" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="16853" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="16855" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="16858" class="Symbol">)</a>                                                 <a id="16908" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="16911" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="16915" class="Symbol">((</a><a id="16917" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="16926" class="Symbol">(</a><a id="16927" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="16933" href="Categories.Category.Cocartesian.html#2699" class="Function">+₁∘+₁</a><a id="16938" class="Symbol">)</a> <a id="16940" class="Symbol">(</a><a id="16941" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="16947" href="Categories.Category.Cocartesian.html#2699" class="Function">+₁∘+₁</a><a id="16952" class="Symbol">))</a> <a id="16955" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a><a id="16962" class="Symbol">)</a> <a id="16964" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
                <a id="16983" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="16985" class="Symbol">(</a><a id="16986" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="17000" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="17003" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a><a id="17016" class="Symbol">)</a> <a id="17018" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17020" class="Symbol">((</a><a id="17022" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="17026" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17028" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a><a id="17030" class="Symbol">)</a> <a id="17032" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="17035" class="Symbol">(</a><a id="17036" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="17040" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17042" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a><a id="17044" class="Symbol">))</a> <a id="17047" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17049" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> 
                <a id="17080" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="17082" class="Symbol">(</a><a id="17083" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="17097" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="17100" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a><a id="17113" class="Symbol">)</a> <a id="17115" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17117" class="Symbol">((</a><a id="17119" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="17123" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17125" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="17127" class="Symbol">)</a> <a id="17129" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="17132" class="Symbol">(</a><a id="17133" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="17137" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17139" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="17141" class="Symbol">))</a> <a id="17144" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17146" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="17160" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="17162" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17164" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="17178" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17180" class="Symbol">(</a><a id="17181" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="17185" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17187" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="17190" class="Symbol">)</a>                                              <a id="17237" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="17240" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="17244" class="Symbol">(</a><a id="17245" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="17251" href="Categories.Category.Cocartesian.html#2736" class="Function">∘[]</a><a id="17254" class="Symbol">)</a> <a id="17256" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a>
                <a id="17274" class="Symbol">(</a><a id="17275" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="17289" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="17292" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a><a id="17305" class="Symbol">)</a> <a id="17307" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17309" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="17311" class="Symbol">((</a><a id="17313" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="17317" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17319" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a><a id="17321" class="Symbol">)</a> <a id="17323" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="17326" class="Symbol">(</a><a id="17327" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="17331" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17333" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a><a id="17335" class="Symbol">))</a> <a id="17338" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17340" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="17354" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="17356" class="Symbol">((</a><a id="17358" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="17362" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17364" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="17366" class="Symbol">)</a> <a id="17368" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="17371" class="Symbol">(</a><a id="17372" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="17376" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17378" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="17380" class="Symbol">))</a> <a id="17383" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17385" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="17399" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="17401" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17403" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="17417" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17419" class="Symbol">(</a><a id="17420" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="17424" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17426" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="17429" class="Symbol">)</a> <a id="17431" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="17434" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="17442" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="17451" class="Symbol">(</a><a id="17452" href="Categories.Category.Distributive.Properties.html#4502" class="Function">distributeʳ⁻¹-natural</a> <a id="17474" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="17477" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="17481" href="Category.Ambient.html#2115" class="Function">idC</a><a id="17484" class="Symbol">)</a> <a id="17486" class="Symbol">(</a><a id="17487" href="Categories.Category.Distributive.Properties.html#4502" class="Function">distributeʳ⁻¹-natural</a> <a id="17509" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="17512" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="17516" href="Category.Ambient.html#2115" class="Function">idC</a><a id="17519" class="Symbol">)</a> <a id="17521" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="17529" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
                <a id="17548" class="Symbol">(</a><a id="17549" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="17563" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="17566" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a><a id="17579" class="Symbol">)</a> <a id="17581" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17583" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="17585" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="17599" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17601" class="Symbol">((</a><a id="17603" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="17607" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="17610" href="Category.Ambient.html#2115" class="Function">idC</a><a id="17613" class="Symbol">)</a> <a id="17615" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17617" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a><a id="17619" class="Symbol">)</a> <a id="17621" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="17623" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="17637" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17639" class="Symbol">((</a><a id="17641" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="17645" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="17648" href="Category.Ambient.html#2115" class="Function">idC</a><a id="17651" class="Symbol">)</a> <a id="17653" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17655" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="17657" class="Symbol">)</a> <a id="17659" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="17661" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17663" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="17677" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17679" class="Symbol">(</a><a id="17680" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="17684" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17686" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="17689" class="Symbol">)</a>               <a id="17705" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="17708" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="17716" class="Symbol">(</a><a id="17717" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="17721" class="Symbol">(</a><a id="17722" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="17728" href="Categories.Category.Cocartesian.html#2736" class="Function">∘[]</a><a id="17731" class="Symbol">))</a> <a id="17734" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
                <a id="17753" class="Symbol">(</a><a id="17754" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="17768" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="17771" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a><a id="17784" class="Symbol">)</a> <a id="17786" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17788" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="17802" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17804" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="17806" class="Symbol">((</a><a id="17808" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="17812" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="17815" href="Category.Ambient.html#2115" class="Function">idC</a><a id="17818" class="Symbol">)</a> <a id="17820" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17822" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a><a id="17824" class="Symbol">)</a> <a id="17826" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="17828" class="Symbol">((</a><a id="17830" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="17834" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="17837" href="Category.Ambient.html#2115" class="Function">idC</a><a id="17840" class="Symbol">)</a> <a id="17842" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17844" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="17846" class="Symbol">)</a> <a id="17848" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="17850" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17852" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="17866" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="17868" class="Symbol">(</a><a id="17869" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="17873" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="17875" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="17878" class="Symbol">)</a>                               <a id="17910" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="17913" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="17921" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="17929" class="Symbol">(</a><a id="17930" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="17939" class="Symbol">(</a><a id="17940" href="Categories.Category.BinaryProducts.html#2515" class="Function">⁂-cong₂</a> <a id="17948" class="Symbol">(</a><a id="17949" href="Category.Ambient.html#2218" class="Function">[]-unique</a> <a id="17959" href="Categories.Morphism.Reasoning.Core.html#1309" class="Function">id-comm-sym</a> <a id="17971" href="Categories.Morphism.Reasoning.Core.html#1309" class="Function">id-comm-sym</a><a id="17982" class="Symbol">)</a> <a id="17984" href="Relation.Binary.Structures.html#1596" class="Function">refl</a><a id="17988" class="Symbol">)</a> <a id="17990" class="Symbol">(</a><a id="17991" href="Categories.Category.BinaryProducts.html#2515" class="Function">⁂-cong₂</a> <a id="17999" class="Symbol">(</a><a id="18000" href="Category.Ambient.html#2218" class="Function">[]-unique</a> <a id="18010" href="Categories.Morphism.Reasoning.Core.html#1309" class="Function">id-comm-sym</a> <a id="18022" href="Categories.Morphism.Reasoning.Core.html#1309" class="Function">id-comm-sym</a><a id="18033" class="Symbol">)</a> <a id="18035" href="Relation.Binary.Structures.html#1596" class="Function">refl</a><a id="18039" class="Symbol">))</a> <a id="18042" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="18050" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
                <a id="18069" class="Symbol">(</a><a id="18070" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="18084" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="18087" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a><a id="18100" class="Symbol">)</a> <a id="18102" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="18104" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="18118" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="18120" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="18122" class="Symbol">(</a><a id="18123" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="18127" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="18129" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a><a id="18131" class="Symbol">)</a> <a id="18133" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="18135" class="Symbol">(</a><a id="18136" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="18140" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="18142" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a><a id="18144" class="Symbol">)</a> <a id="18146" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="18148" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="18150" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="18164" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="18166" class="Symbol">(</a><a id="18167" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="18171" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="18173" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="18176" class="Symbol">)</a>                                                 <a id="18226" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="18229" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="18237" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="18245" href="Categories.Morphism.Reasoning.Core.html#6851" class="Function">cancelˡ</a> <a id="18253" class="Symbol">(</a><a id="18254" href="Categories.Morphism.html#1612" class="Function">IsIso.isoʳ</a> <a id="18265" href="Categories.Category.Distributive.html#1042" class="Function">isIsoˡ</a><a id="18271" class="Symbol">)</a> <a id="18273" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
                <a id="18292" class="Symbol">(</a><a id="18293" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="18307" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="18310" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a><a id="18323" class="Symbol">)</a> <a id="18325" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="18327" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="18341" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="18343" class="Symbol">(</a><a id="18344" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="18348" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="18350" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="18353" class="Symbol">)</a>                                                                                               <a id="18449" href="Relation.Binary.Reasoning.Syntax.html#12283" class="Function Operator">∎</a><a id="18450" class="Symbol">)</a>

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            <a id="19483" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="19485" class="Symbol">(</a><a id="19486" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="19490" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="19493" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="19494" class="Symbol">)</a> <a id="19496" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="19498" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="19512" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="19514" class="Symbol">(</a><a id="19515" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="19519" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="19521" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="19524" class="Symbol">)</a> <a id="19526" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="19528" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="19531" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="19533" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="19540" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="19542" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="19544" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="19546" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="19548" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="19550" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="19564" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="19566" class="Symbol">(</a><a id="19567" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="19571" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="19573" href="Category.Ambient.html#2115" class="Function">idC</a><a id="19576" class="Symbol">)</a>                                                                               <a id="19656" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="19659" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="19667" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="19675" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="19679" class="Symbol">(</a><a id="19680" href="Categories.Category.BinaryProducts.html#2881" class="Function">⁂∘⁂</a> <a id="19684" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="19686" href="Categories.Category.BinaryProducts.html#2515" class="Function">⁂-cong₂</a> <a id="19694" class="Symbol">(</a><a id="19695" href="Categories.Morphism.Reasoning.Core.html#2948" class="Function">elimˡ</a> <a id="19701" class="Symbol">(</a><a id="19702" href="Category.Ambient.html#2218" class="Function">[]-unique</a> <a id="19712" href="Categories.Morphism.Reasoning.Core.html#1309" class="Function">id-comm-sym</a> <a id="19724" href="Categories.Morphism.Reasoning.Core.html#1309" class="Function">id-comm-sym</a><a id="19735" class="Symbol">))</a> <a id="19738" class="Symbol">(</a><a id="19739" href="Categories.Morphism.html#1586" class="Function">_≅_.isoˡ</a> <a id="19748" href="Monad.Instance.Delay.html#1952" class="Function">out-≅</a><a id="19753" class="Symbol">))</a> <a id="19756" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
            <a id="19771" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="19773" class="Symbol">(</a><a id="19774" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="19778" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="19781" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="19782" class="Symbol">)</a> <a id="19784" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="19786" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="19800" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="19802" class="Symbol">(</a><a id="19803" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="19807" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="19809" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="19812" class="Symbol">)</a> <a id="19814" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="19816" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="19819" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="19821" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="19828" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="19830" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="19832" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="19834" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="19836" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="19838" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="19852" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="19854" class="Symbol">((</a><a id="19856" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="19860" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="19863" href="Category.Ambient.html#2115" class="Function">idC</a><a id="19866" class="Symbol">)</a> <a id="19868" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="19870" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a><a id="19875" class="Symbol">)</a> <a id="19877" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="19879" class="Symbol">(</a><a id="19880" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="19884" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="19886" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="19889" class="Symbol">)</a>                                                      <a id="19944" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="19947" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="19955" class="Symbol">(</a><a id="19956" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="19962" class="Symbol">(</a><a id="19963" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="19967" class="Symbol">(</a><a id="19968" href="Categories.Category.Distributive.Properties.html#4502" class="Function">distributeʳ⁻¹-natural</a> <a id="19990" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="19996" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="20000" href="Category.Ambient.html#2115" class="Function">idC</a><a id="20003" class="Symbol">)))</a> <a id="20007" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
            <a id="20022" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="20024" class="Symbol">(</a><a id="20025" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="20029" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="20032" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="20033" class="Symbol">)</a> <a id="20035" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20037" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="20051" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20053" class="Symbol">(</a><a id="20054" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="20058" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="20060" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="20063" class="Symbol">)</a> <a id="20065" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="20067" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="20070" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20072" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="20079" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="20081" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20083" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="20085" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="20087" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20089" class="Symbol">(((</a><a id="20092" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="20096" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="20098" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a><a id="20103" class="Symbol">)</a> <a id="20105" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="20108" class="Symbol">(</a><a id="20109" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="20113" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="20115" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a><a id="20120" class="Symbol">))</a> <a id="20123" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20125" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a><a id="20138" class="Symbol">)</a> <a id="20140" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20142" class="Symbol">(</a><a id="20143" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="20147" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="20149" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="20152" class="Symbol">)</a>                                          <a id="20195" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="20198" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="20204" class="Symbol">(</a><a id="20205" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="20211" href="Categories.Category.Cocartesian.html#2662" class="Function">[]∘+₁</a><a id="20216" class="Symbol">)</a> <a id="20218" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
            <a id="20233" class="Symbol">(</a><a id="20234" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="20236" class="Symbol">((</a><a id="20238" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="20242" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="20245" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="20246" class="Symbol">)</a> <a id="20248" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20250" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="20264" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20266" class="Symbol">(</a><a id="20267" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="20271" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="20273" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="20276" class="Symbol">))</a> <a id="20279" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20281" class="Symbol">(</a><a id="20282" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="20286" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="20288" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a><a id="20293" class="Symbol">)</a> <a id="20295" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="20297" class="Symbol">(</a><a id="20298" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="20301" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20303" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="20310" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="20312" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20314" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a><a id="20315" class="Symbol">)</a> <a id="20317" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20319" class="Symbol">(</a><a id="20320" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="20324" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="20326" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a><a id="20331" class="Symbol">)</a> <a id="20333" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="20335" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20337" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a><a id="20350" class="Symbol">)</a> <a id="20352" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20354" class="Symbol">(</a><a id="20355" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="20359" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="20361" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="20364" class="Symbol">)</a>                                         <a id="20406" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="20409" href="Categories.Category.Core.html#715" class="Function">assoc</a> <a id="20415" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="20417" class="Symbol">(</a><a id="20418" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="20427" class="Symbol">(</a><a id="20428" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="20434" class="Symbol">(</a><a id="20435" href="Categories.Morphism.Reasoning.Core.html#6665" class="Function">cancelʳ</a> <a id="20443" class="Symbol">(</a><a id="20444" href="Categories.Category.BinaryProducts.html#2881" class="Function">⁂∘⁂</a> <a id="20448" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="20450" href="Categories.Category.BinaryProducts.html#2515" class="Function">⁂-cong₂</a> <a id="20458" href="Categories.Category.Core.html#1339" class="Function">identity²</a> <a id="20468" class="Symbol">(</a><a id="20469" href="Categories.Morphism.html#1612" class="Function">_≅_.isoʳ</a> <a id="20478" href="Monad.Instance.Delay.html#1952" class="Function">out-≅</a><a id="20483" class="Symbol">)</a> <a id="20485" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="20487" href="Category.Ambient.html#2592" class="Function">⟨⟩-unique</a> <a id="20497" href="Categories.Morphism.Reasoning.Core.html#1202" class="Function">id-comm</a> <a id="20505" href="Categories.Morphism.Reasoning.Core.html#1202" class="Function">id-comm</a><a id="20512" class="Symbol">)))</a> <a id="20516" class="Symbol">(</a><a id="20517" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="20525" class="Symbol">(</a><a id="20526" href="Categories.Category.BinaryProducts.html#2515" class="Function">⁂-cong₂</a> <a id="20534" class="Symbol">(</a><a id="20535" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="20539" href="Monad.Instance.Delay.Commutative.html#1070" class="Function">D-identity</a><a id="20549" class="Symbol">)</a> <a id="20551" href="Relation.Binary.Structures.html#1596" class="Function">refl</a><a id="20555" class="Symbol">)))</a> <a id="20559" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="20567" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
            <a id="20582" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="20584" class="Symbol">(</a><a id="20585" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="20589" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="20592" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="20593" class="Symbol">)</a> <a id="20595" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20597" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="20611" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="20613" class="Symbol">(</a><a id="20614" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="20617" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20619" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="20626" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="20628" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20630" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a><a id="20631" class="Symbol">)</a> <a id="20633" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20635" class="Symbol">(</a><a id="20636" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="20639" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="20643" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="20645" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a><a id="20650" class="Symbol">)</a> <a id="20652" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="20654" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20656" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="20670" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20672" class="Symbol">(</a><a id="20673" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="20677" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="20679" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="20682" class="Symbol">)</a>                                                                        <a id="20755" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="20758" class="Symbol">(</a><a id="20759" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="20768" href="Relation.Binary.Structures.html#1596" class="Function">refl</a> <a id="20773" class="Symbol">(</a><a id="20774" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="20780" class="Symbol">(</a><a id="20781" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="20787" class="Symbol">(</a><a id="20788" href="Monad.Instance.Delay.Commutative.html#3870" class="Function">σ-commute</a> <a id="20798" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="20802" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a><a id="20807" class="Symbol">))))</a> <a id="20812" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="20820" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
            <a id="20835" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="20837" class="Symbol">(</a><a id="20838" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="20842" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="20845" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="20846" class="Symbol">)</a> <a id="20848" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20850" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="20864" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="20866" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="20869" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20871" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="20878" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="20880" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20882" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="20885" class="Symbol">(</a><a id="20886" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="20890" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="20892" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a><a id="20897" class="Symbol">)</a> <a id="20899" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20901" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="20903" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="20905" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20907" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="20921" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="20923" class="Symbol">(</a><a id="20924" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="20928" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="20930" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="20933" class="Symbol">)</a>                                                                          <a id="21008" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="21011" class="Symbol">(</a><a id="21012" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="21021" href="Relation.Binary.Structures.html#1596" class="Function">refl</a> <a id="21026" class="Symbol">(</a><a id="21027" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="21035" class="Symbol">(</a><a id="21036" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="21042" class="Symbol">((</a><a id="21044" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="21048" href="Monad.Instance.Delay.Commutative.html#1202" class="Function">k-assoc</a><a id="21055" class="Symbol">)</a> <a id="21057" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="21059" href="Categories.Monad.Relative.html#1306" class="Function">extend-≈</a> <a id="21068" class="Symbol">(</a><a id="21069" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="21075" href="Monad.Instance.Delay.Commutative.html#1224" class="Function">k-identityʳ</a><a id="21086" class="Symbol">)))))</a> <a id="21092" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="21100" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
            <a id="21115" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="21117" class="Symbol">(</a><a id="21118" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21122" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="21125" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="21126" class="Symbol">)</a> <a id="21128" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21130" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="21144" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="21146" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="21149" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21151" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="21158" class="Symbol">(</a><a id="21159" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="21161" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21163" class="Symbol">(</a><a id="21164" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21168" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="21170" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a><a id="21175" class="Symbol">))</a> <a id="21178" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21180" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="21182" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="21184" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21186" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="21200" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21202" class="Symbol">(</a><a id="21203" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="21207" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="21209" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="21212" class="Symbol">)</a>                                                                           <a id="21288" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="21291" class="Symbol">(</a><a id="21292" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="21301" href="Relation.Binary.Structures.html#1596" class="Function">refl</a> <a id="21306" class="Symbol">(</a><a id="21307" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="21315" class="Symbol">((</a><a id="21317" href="Categories.Monad.Relative.html#1306" class="Function">extend-≈</a> <a id="21326" class="Symbol">(</a><a id="21327" href="Monad.Instance.Delay.Strong.html#1660" class="Function">τ-helper</a> <a id="21336" class="Symbol">(</a><a id="21337" href="Monad.Instance.Delay.Commutative.html#4680" class="Bound">X</a> <a id="21339" href="Agda.Builtin.Sigma.html#235" class="InductiveConstructor Operator">,</a> <a id="21341" href="Monad.Instance.Delay.Commutative.html#4684" class="Bound">Y</a><a id="21342" class="Symbol">)))</a> <a id="21346" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a><a id="21353" class="Symbol">)))</a> <a id="21357" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="21365" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
            <a id="21380" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="21382" class="Symbol">(</a><a id="21383" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21387" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="21390" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="21391" class="Symbol">)</a> <a id="21393" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21395" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="21409" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="21411" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="21414" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21416" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="21423" class="Symbol">(</a><a id="21424" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="21430" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21432" class="Symbol">(</a><a id="21433" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21437" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="21440" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="21441" class="Symbol">)</a> <a id="21443" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21445" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a><a id="21458" class="Symbol">)</a> <a id="21460" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21462" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="21464" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="21466" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21468" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="21482" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21484" class="Symbol">(</a><a id="21485" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="21489" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="21491" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="21494" class="Symbol">)</a>                                                          <a id="21553" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">≈˘⟨</a> <a id="21557" class="Symbol">(</a><a id="21558" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="21567" href="Relation.Binary.Structures.html#1596" class="Function">refl</a> <a id="21572" class="Symbol">(</a><a id="21573" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="21581" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="21587" class="Symbol">((</a><a id="21589" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="21593" href="Monad.Instance.Delay.Commutative.html#1202" class="Function">k-assoc</a><a id="21600" class="Symbol">)</a> <a id="21602" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="21604" class="Symbol">(</a><a id="21605" href="Categories.Monad.Relative.html#1306" class="Function">extend-≈</a> <a id="21614" class="Symbol">(</a><a id="21615" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="21621" href="Monad.Instance.Delay.Commutative.html#1224" class="Function">k-identityʳ</a><a id="21632" class="Symbol">)</a> <a id="21634" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="21636" href="Categories.Monad.Relative.html#1306" class="Function">extend-≈</a> <a id="21645" href="Categories.Category.Core.html#715" class="Function">assoc</a><a id="21650" class="Symbol">))))</a> <a id="21655" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="21663" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">⟩</a> 
            <a id="21678" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="21680" class="Symbol">(</a><a id="21681" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21685" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="21688" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="21689" class="Symbol">)</a> <a id="21691" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21693" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="21707" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="21709" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="21712" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21714" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="21721" class="Symbol">(</a><a id="21722" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="21728" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21730" class="Symbol">(</a><a id="21731" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21735" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="21738" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="21739" class="Symbol">))</a> <a id="21742" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21744" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="21747" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="21761" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21763" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="21765" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="21767" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21769" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="21783" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21785" class="Symbol">(</a><a id="21786" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="21790" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="21792" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="21795" class="Symbol">)</a>                                                       <a id="21851" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="21854" class="Symbol">(</a><a id="21855" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="21864" href="Relation.Binary.Structures.html#1596" class="Function">refl</a> <a id="21869" class="Symbol">((</a><a id="21871" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="21879" class="Symbol">(</a><a id="21880" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="21888" href="Monad.Instance.Delay.Commutative.html#12705" class="Function">helper₂</a><a id="21895" class="Symbol">))</a> <a id="21898" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="21900" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="21904" href="Categories.Morphism.Reasoning.Core.html#1551" class="Function">assoc²&#39;</a><a id="21911" class="Symbol">))</a> <a id="21914" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="21922" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
            <a id="21937" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="21939" class="Symbol">(</a><a id="21940" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21944" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="21947" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="21948" class="Symbol">)</a> <a id="21950" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21952" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="21966" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="21968" class="Symbol">(</a><a id="21969" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="21972" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21974" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="21981" class="Symbol">(</a><a id="21982" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="21988" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="21990" class="Symbol">(</a><a id="21991" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="21995" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="21998" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="21999" class="Symbol">))</a> <a id="22002" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22004" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="22006" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="22009" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="22012" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22014" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="22016" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="22018" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="22021" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="22024" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22026" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="22028" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a><a id="22029" class="Symbol">)</a> <a id="22031" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22033" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="22047" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="22049" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22051" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="22065" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22067" class="Symbol">(</a><a id="22068" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="22072" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="22074" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="22077" class="Symbol">)</a>                                <a id="22110" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">≈˘⟨</a> <a id="22114" href="Categories.Category.Cocartesian.html#2662" class="Function">[]∘+₁</a> <a id="22120" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="22128" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">⟩</a> 
            <a id="22143" class="Symbol">(</a><a id="22144" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="22146" class="Symbol">(</a><a id="22147" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="22151" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="22154" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="22155" class="Symbol">)</a> <a id="22157" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="22159" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="22162" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22164" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="22171" class="Symbol">(</a><a id="22172" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="22178" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22180" class="Symbol">(</a><a id="22181" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="22185" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="22188" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="22189" class="Symbol">))</a> <a id="22192" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22194" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="22196" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="22199" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="22202" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22204" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="22206" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="22208" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="22211" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="22214" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22216" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="22218" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="22220" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="22222" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22224" class="Symbol">(</a><a id="22225" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="22239" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="22242" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a><a id="22255" class="Symbol">))</a> <a id="22258" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22260" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="22274" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22276" class="Symbol">(</a><a id="22277" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="22281" href="Categories.Category.BinaryProducts.html#1465" class="Function Operator">⁂</a> <a id="22283" href="Monad.Instance.Delay.html#2116" class="Function">out</a><a id="22286" class="Symbol">)</a>                             <a id="22316" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="22319" href="Categories.Category.Core.html#715" class="Function">assoc</a> <a id="22325" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="22327" class="Symbol">(</a><a id="22328" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="22337" href="Relation.Binary.Structures.html#1596" class="Function">refl</a> <a id="22342" class="Symbol">(</a><a id="22343" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="22351" href="Categories.Category.Cocartesian.html#2736" class="Function">∘[]</a><a id="22354" class="Symbol">))</a> <a id="22357" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="22365" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">⟩</a> 
            <a id="22380" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="22382" class="Symbol">(</a><a id="22383" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="22387" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="22390" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="22391" class="Symbol">)</a> <a id="22393" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="22395" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="22398" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22400" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="22402" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="22409" class="Symbol">(</a><a id="22410" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="22416" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22418" class="Symbol">(</a><a id="22419" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="22423" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="22426" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="22427" class="Symbol">))</a> <a id="22430" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22432" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="22435" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="22438" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22440" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="22442" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="22444" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="22451" class="Symbol">(</a><a id="22452" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="22458" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22460" class="Symbol">(</a><a id="22461" href="Category.Ambient.html#2115" class="Function">idC</a> <a id="22465" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="22468" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a><a id="22469" class="Symbol">))</a> <a id="22472" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22474" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="22477" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="22480" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22482" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="22484" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="22486" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="22488" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22490" class="Symbol">(</a><a id="22491" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a> <a id="22505" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="22508" href="Categories.Category.Distributive.html#3168" class="Function">distributeˡ⁻¹</a><a id="22521" class="Symbol">)</a> <a id="22523" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22525" href="Categories.Category.Distributive.html#3272" class="Function">distributeʳ⁻¹</a> <a id="22539" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="22541" class="Symbol">(</a><a id="22542" href="Monad.Instance.Delay.html#2116" class="Function">out</a> 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id="22602" href="Monad.Instance.Delay.Commutative.html#1202" class="Function">k-assoc</a> <a id="22610" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="22612" href="Categories.Monad.Relative.html#1306" class="Function">extend-≈</a> <a id="22621" class="Symbol">(</a><a id="22622" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="22628" href="Monad.Instance.Delay.Commutative.html#1224" class="Function">k-identityʳ</a><a id="22639" class="Symbol">)))</a> <a id="22643" class="Symbol">(</a><a id="22644" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="22650" class="Symbol">(</a><a id="22651" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="22655" href="Monad.Instance.Delay.Commutative.html#1202" class="Function">k-assoc</a> <a id="22663" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="22665" 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id="25102" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="25106" href="Categories.Category.Core.html#1145" class="Function">identityʳ</a><a id="25115" class="Symbol">)</a> <a id="25117" class="Symbol">(</a><a id="25118" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="25126" class="Symbol">(</a><a id="25127" href="Categories.Morphism.Reasoning.Core.html#2948" class="Function">elimˡ</a> <a id="25133" class="Symbol">((</a><a id="25135" href="Categories.Monad.Relative.html#1306" class="Function">extend-≈</a> <a id="25144" href="Categories.Object.Coproduct.html#569" class="Function">inject₁</a><a id="25151" class="Symbol">)</a> <a id="25153" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="25155" href="Monad.Instance.Delay.Commutative.html#1250" class="Function">k-identityˡ</a><a id="25166" class="Symbol">))))</a> <a id="25171" class="Symbol">(</a><a id="25172" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="25181" class="Symbol">(</a><a id="25182" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="25188" class="Symbol">(</a><a id="25189" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="25195" class="Symbol">((</a><a id="25197" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="25201" href="Monad.Instance.Delay.Commutative.html#1202" class="Function">k-assoc</a><a id="25208" class="Symbol">)</a> <a id="25210" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="25212" href="Categories.Monad.Relative.html#1306" class="Function">extend-≈</a> <a id="25221" class="Symbol">(</a><a id="25222" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="25228" href="Monad.Instance.Delay.Commutative.html#1224" class="Function">k-identityʳ</a><a id="25239" class="Symbol">))))</a> <a id="25244" class="Symbol">(</a><a id="25245" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="25251" class="Symbol">(</a><a id="25252" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="25258" class="Symbol">(</a><a id="25259" href="Monad.Instance.Delay.html#14731" class="Function">▷∘extendʳ</a> <a id="25269" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="25271" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="25275" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="25277" href="Monad.Instance.Delay.Commutative.html#24120" class="Bound">f</a> <a id="25279" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a><a id="25280" class="Symbol">))))</a> <a id="25285" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="25293" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">⟩</a>
            <a id="25307" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="25313" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25315" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="25317" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="25319" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="25322" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="25324" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="25327" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25329" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="25336" class="Symbol">(</a><a id="25337" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="25339" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="25343" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="25345" href="Monad.Instance.Delay.Commutative.html#24120" class="Bound">f</a> <a id="25347" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="25349" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25351" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a><a id="25353" class="Symbol">)</a> <a id="25355" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25357" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="25359" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="25361" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="25363" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="25365" class="Symbol">(</a><a id="25366" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="25369" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25371" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="25378" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="25380" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="25384" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="25386" href="Monad.Instance.Delay.Commutative.html#24120" class="Bound">f</a> <a id="25388" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a><a id="25389" class="Symbol">)</a> <a id="25391" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25393" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="25396" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="25399" href="Categories.Category.Core.html#656" class="Function 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class="Function Operator">∘</a> <a id="25433" href="Monad.Instance.Delay.html#2255" class="Function">▷</a> <a id="25435" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25437" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="25441" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25443" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="25446" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="25448" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="25450" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25452" href="Monad.Instance.Delay.Commutative.html#4816" class="Function">w</a>                      <a id="25475" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">≈˘⟨</a> <a id="25479" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="25487" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="25496" class="Symbol">(</a><a id="25497" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="25506" href="Categories.Object.Coproduct.html#569" class="Function">inject₁</a> <a id="25514" class="Symbol">(</a><a id="25515" href="Categories.Morphism.Reasoning.Core.html#1914" class="Function">pullʳ</a> <a id="25521" class="Symbol">(</a><a id="25522" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="25528" class="Symbol">((</a><a id="25530" href="Relation.Binary.Structures.html#1622" class="Function">sym</a> <a id="25534" href="Monad.Instance.Delay.Commutative.html#1202" class="Function">k-assoc</a><a id="25541" class="Symbol">)</a> <a id="25543" href="Categories.Category.Core.html#3061" class="Function Operator">○</a> <a id="25545" href="Categories.Monad.Relative.html#1306" class="Function">extend-≈</a> <a id="25554" class="Symbol">(</a><a id="25555" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="25561" href="Monad.Instance.Delay.Commutative.html#1224" class="Function">k-identityʳ</a><a id="25572" class="Symbol">)))))</a> <a id="25578" href="Categories.Category.Cocartesian.html#2736" class="Function">∘[]</a> <a id="25582" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a> <a id="25590" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">⟩</a>
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href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25635" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="25638" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="25640" class="Symbol">(</a><a id="25641" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="25644" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25646" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="25653" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="25655" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="25659" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="25661" href="Monad.Instance.Delay.Commutative.html#24120" class="Bound">f</a> <a id="25663" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a><a id="25664" class="Symbol">)</a> <a id="25666" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25668" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="25671" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="25674" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25676" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="25678" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="25680" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="25682" class="Symbol">(</a><a id="25683" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="25686" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25688" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="25695" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="25697" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="25701" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="25703" href="Monad.Instance.Delay.Commutative.html#24120" class="Bound">f</a> <a id="25705" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a><a id="25706" class="Symbol">)</a> <a id="25708" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25710" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="25712" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="25715" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="25718" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25720" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="25722" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="25724" href="Monad.Instance.Delay.html#2255" class="Function">▷</a> <a id="25726" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25728" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="25732" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25734" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="25737" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="25739" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="25741" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25743" href="Monad.Instance.Delay.Commutative.html#4816" class="Function">w</a>                            <a id="25772" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">≈˘⟨</a> <a id="25776" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="25784" class="Symbol">((</a><a id="25786" href="Categories.Object.Coproduct.html#816" class="Function">[]-cong₂</a> <a id="25795" href="Categories.Category.Cocartesian.html#2662" class="Function">[]∘+₁</a> <a id="25801" class="Symbol">(</a><a id="25802" href="Categories.Morphism.Reasoning.Core.html#2048" class="Function">pullˡ</a> <a id="25808" href="Categories.Object.Coproduct.html#602" class="Function">inject₂</a><a id="25815" class="Symbol">))</a> <a id="25818" href="Categories.Category.Core.html#2837" class="Function Operator">⟩∘⟨refl</a><a id="25825" class="Symbol">)</a> <a id="25827" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">⟩</a>
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href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="25872" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="25875" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25877" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="25884" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="25886" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="25890" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="25892" href="Monad.Instance.Delay.Commutative.html#24120" class="Bound">f</a> <a id="25894" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="25896" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="25898" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25900" class="Symbol">(</a><a id="25901" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="25904" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="25907" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="25910" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="25913" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25915" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a><a id="25916" class="Symbol">)</a> <a id="25918" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="25920" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="25922" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="25924" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="25927" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="25929" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="25933" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25935" href="Monad.Instance.Delay.Commutative.html#24120" class="Bound">f</a> <a id="25937" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="25939" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="25941" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="25944" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25946" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="25953" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="25955" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="25959" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="25961" href="Monad.Instance.Delay.Commutative.html#24120" class="Bound">f</a> <a id="25963" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="25965" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="25967" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25969" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="25972" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25974" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="25976" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="25979" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="25982" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25984" href="Monad.Instance.Delay.Commutative.html#1701" class="Function">τ</a> <a id="25986" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="25988" href="Monad.Instance.Delay.html#2255" class="Function">▷</a> <a id="25990" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25992" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="25996" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="25998" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="26001" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="26003" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="26005" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="26007" href="Monad.Instance.Delay.Commutative.html#4816" class="Function">w</a> <a id="26009" href="Relation.Binary.Reasoning.Syntax.html#7400" class="Function">≈˘⟨</a> <a id="26013" href="Categories.Category.Core.html#2734" class="Function Operator">refl⟩∘⟨</a> <a id="26021" class="Symbol">(</a><a id="26022" 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class="Function">w</a>                                                    <a id="26215" href="Relation.Binary.Reasoning.Syntax.html#7049" class="Function">≈⟨</a> <a id="26218" href="Categories.Morphism.Properties.html#818" class="Function">Iso⇒Mono</a> <a id="26227" class="Symbol">(</a><a id="26228" href="Categories.Morphism.html#2040" class="Field">_≅_.iso</a> <a id="26236" href="Monad.Instance.Delay.html#1952" class="Function">out-≅</a><a id="26241" class="Symbol">)</a> <a id="26243" class="Symbol">(</a><a id="26244" href="Monad.Instance.Delay.html#2101" class="Function">out⁻¹</a> <a id="26250" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="26252" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="26254" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="26256" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="26259" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="26261" href="Monad.Instance.Delay.html#2116" class="Function">out</a> <a id="26265" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="26267" href="Monad.Instance.Delay.Commutative.html#24120" class="Bound">f</a> <a id="26269" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="26271" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="26273" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="26276" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="26278" href="Categories.Monad.Relative.html#895" class="Function">extend</a> <a id="26285" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="26287" href="Monad.Instance.Delay.html#2135" class="Function">now</a> <a id="26291" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="26293" href="Monad.Instance.Delay.Commutative.html#24120" class="Bound">f</a> <a id="26295" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="26297" href="Categories.Object.Coproduct.html#532" class="Function Operator">]</a> <a id="26299" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="26301" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="26303" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="26306" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="26309" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="26312" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="26315" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="26317" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="26319" 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href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="27333" href="Categories.Object.Coproduct.html#532" class="Function Operator">[</a> <a id="27335" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="27338" href="Categories.Category.Cocartesian.html#2133" class="Function Operator">+₁</a> <a id="27341" href="Monad.Instance.Delay.Commutative.html#1054" class="Function">D₁</a> <a id="27344" href="Categories.Object.Coproduct.html#492" class="Function">i₁</a> <a id="27347" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="27349" href="Monad.Instance.Delay.Commutative.html#1777" class="Function">σ</a> <a id="27351" href="Categories.Object.Coproduct.html#532" class="Function Operator">,</a> <a id="27353" href="Categories.Object.Coproduct.html#512" class="Function">i₂</a> <a id="27356" href="Categories.Category.Core.html#656" class="Function Operator">∘</a> <a id="27358" 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</pre>