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<div><span class="kw">theorem </span><a NAME="T70"><span class="comment"><font color="firebrick">:: CAT_3:70</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">I</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">C</font> being   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a><br/>  for <font color="Olive" title="b3">f</font> being   <a href="cat_1.html#NM2" title="CAT_1:NM.2">Morphism</a> of <font color="Olive" title="b2">C</font><br/>  for <font color="Olive" title="b4">F</font> being    <a href="cat_3.html#M2" title="CAT_3:mode.2">Injections_family</a> of  <a href="graph_1.html#K3" title="GRAPH_1:func.3">dom</a> <font color="Olive" title="b3">f</font>,<font color="Olive" title="b1">I</font> holds  <span class="p1">(<span class="default"><font color="Olive" title="b4">F</font> <a href="cat_3.html#K4" title="CAT_3:func.4">opp</a></span>)</span> <a href="cat_3.html#K6" title="CAT_3:func.6">*</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">f</font> <a href="oppcat_1.html#K4" title="OPPCAT_1:func.4">opp</a></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">f</font> <a href="cat_3.html#K7" title="CAT_3:func.7">*</a> <font color="Olive" title="b4">F</font></span>)</span> <a href="cat_3.html#K4" title="CAT_3:func.4">opp</a> </div></div>
