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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E4">Th11</font></span>: <a NAME="T11"><span class="comment"><font color="firebrick">:: ALTCAT_2:11</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">C</font> being   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a><br/>  for <font color="Olive" title="b2">i</font>, <font color="Olive" title="b3">j</font>, <font color="Olive" title="b4">k</font> being   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Olive" title="b1">C</font> holds   the <a href="cat_1.html#U1" title="CAT_1:sel.1">Comp</a> of <font color="Olive" title="b1">C</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">.:</a> <span class="p1"><a href="mcart_1.html#K8" title="MCART_1:func.8">[:</a><span class="default"><span class="p2">(<span class="default"><a href="cat_1.html#K2" title="CAT_1:func.2">Hom</a> (<font color="Olive" title="b3">j</font>,<font color="Olive" title="b4">k</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="cat_1.html#K2" title="CAT_1:func.2">Hom</a> (<font color="Olive" title="b2">i</font>,<font color="Olive" title="b3">j</font>)</span>)</span></span><a href="mcart_1.html#K8" title="MCART_1:func.8">:]</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="cat_1.html#K2" title="CAT_1:func.2">Hom</a> (<font color="Olive" title="b2">i</font>,<font color="Olive" title="b4">k</font>)</div></div>
