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<i><font color="Green">E40</font></i>: the <a href="cat_1.html#U3">Dom</a> of <font color="Maroon">C</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">o</font></span>)</span> = 
 <a href="cat_1.html#K2">dom</a> <span class="p1">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">o</font></span>)</span>

<br/>.= 
<font color="Maroon">o</font>
<b>by </b><i><a class="ref" href="cat_1.html#T44">CAT_1:44</a></i>
;<br/>
<a NAME="E2:47_2_1"/>
( <font color="Maroon">o</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">o</font></span><a href="domain_1.html#K6">}</a></span> &amp;  <a href="relset_1.html#K4">dom</a> the <a href="cat_1.html#U3">Dom</a> of <font color="Maroon">C</font> <a href="hidden.html#R1">=</a> the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C</font> )
 
<b>by </b><i><a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<b>hence </b><a NAME="E3:47_2_1"/>
not <font color="Maroon">o</font> <a href="cat_5.html#K13" target="_self">Hom</a>  is <a href="xboole_0.html#V1">empty</a>
 <b>by </b><i>, <a class="ref" href="funct_1.html#D13">FUNCT_1:def 13</a></i>;<br/>


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