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 ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of <font color="Maroon" title="c2">o</font> <a href="cat_5.html#K10" title="CAT_5:func.10">Hom</a>  ex <font color="Olive" title="b3">f</font> being   <a href="cat_1.html#NM2" title="CAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c1">C</font> st <br/>( <font color="Maroon" title="c3">m</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"><a href="cat_2.html#K8" title="CAT_2:func.8">[</a><span class="default"><font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font></span><a href="cat_2.html#K8" title="CAT_2:func.8">]</a></span>,<font color="Olive" title="b3">f</font></span><a href="cat_2.html#K8" title="CAT_2:func.8">]</a></span> &amp;  <a href="graph_1.html#K3" title="GRAPH_1:func.3">dom</a> <font color="Olive" title="b3">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="graph_1.html#K4" title="GRAPH_1:func.4">cod</a> <font color="Olive" title="b1">a</font> &amp; <font color="Olive" title="b3">f</font> <a href="cat_1.html#K1" title="CAT_1:func.1">(*)</a> <font color="Olive" title="b1">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">b</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="cat_5.html#D12" target="_self" onmouseover="rs('cat_5/D12')" onmouseout="rh()">Def12</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:56_1_1"/>
<font color="Maroon" title="c3">m</font> <a href="xtuple_0.html#K2" title="XTUPLE_0:func.2">`2</a>  is   <a href="cat_1.html#NM2" title="CAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c1">C</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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