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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E36">Th32</font></span>: <a NAME="T34"><span class="comment"><font color="firebrick">:: ISOCAT_2:34</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">B</font>, <font color="Olive" title="b3">C</font> being   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a><br/>  for <font color="Olive" title="b4">F</font> being    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font><br/>  for <font color="Olive" title="b5">G</font> being    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Olive" title="b1">A</font>,<font color="Olive" title="b3">C</font><br/>  for <font color="Olive" title="b6">a</font>, <font color="Olive" title="b7">b</font> being   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Olive" title="b1">A</font>  st  <a href="cat_1.html#K2" title="CAT_1:func.2">Hom</a> (<font color="Olive" title="b6">a</font>,<font color="Olive" title="b7">b</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  holds <br/> for <font color="Olive" title="b8">f</font> being    <a href="cat_1.html#M1" title="CAT_1:mode.1">Morphism</a> of <font color="Olive" title="b6">a</font>,<font color="Olive" title="b7">b</font> holds  <span class="p1"><a href="isocat_2.html#K8" title="ISOCAT_2:func.8">&lt;:</a><span class="default"><font color="Olive" title="b4">F</font>,<font color="Olive" title="b5">G</font></span><a href="isocat_2.html#K8" title="ISOCAT_2:func.8">:&gt;</a></span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b8">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="cat_2.html#K8" title="CAT_2:func.8">[</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b4">F</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b8">f</font></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b5">G</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b8">f</font></span>)</span></span><a href="cat_2.html#K8" title="CAT_2:func.8">]</a></span> <span class="kw">by</span> <span class="lab"><a class="ref" href="funct_3.html#T59" onmouseover="rs('funct_3/T59')" onmouseout="rh()">FUNCT_3:59</a></span>;<br/></div></div>
