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<b>let </b><font color="Maroon">o</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">m</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">a</font> be   <a href="cat_1.html#NM1">Object</a> of <span class="p1">(<span class="default"><a href="cat_1.html#K8" target="_self">1Cat</a> <font color="Maroon">o</font>,<font color="Maroon">m</font></span>)</span>, <font color="Maroon">b</font> be   <a href="cat_1.html#NM1">Object</a> of <span class="p1">(<span class="default"><a href="cat_1.html#K8" target="_self">1Cat</a> <font color="Maroon">o</font>,<font color="Maroon">m</font></span>)</span>;<br/><b>let </b><font color="Maroon">f</font> be   <a href="cat_1.html#NM2">Morphism</a> of <span class="p1">(<span class="default"><a href="cat_1.html#K8" target="_self">1Cat</a> <font color="Maroon">o</font>,<font color="Maroon">m</font></span>)</span>;<br/>







<a NAME="E1:28"/>
(  <a href="cat_1.html#K2" target="_self">dom</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">o</font> &amp;  <a href="cat_1.html#K3" target="_self">cod</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">o</font> )
 
<b>by </b><i><a class="ref" href="cat_1.html#T4" target="_self">Th4</a></i>;<br/>
<a NAME="E2:28"/><b>then </b>
(  <a href="cat_1.html#K2" target="_self">dom</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> &amp;  <a href="cat_1.html#K3" target="_self">cod</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b</font> )
 
<b>by </b><i><a class="ref" href="cat_1.html#T4" target="_self">Th4</a></i>;<br/>
<b>hence </b><a NAME="E3:28"/>
<font color="Maroon">f</font> <a href="hidden.html#R2">in</a>  <a href="cat_1.html#K6" target="_self">Hom</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>
 ;<br/>


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