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<b>let </b><font color="Maroon" title="c1">C</font> be   <a href="cat_4.html#NM1" title="CAT_4:NM.1">Cartesian_category</a>;<br/><b>let </b><font color="Maroon" title="c2">a</font> be   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c1">C</font>;<br/>



<a NAME="E1:28"/><i><font color="Green" title="E13">A1</font></i>: 
 <a href="cat_1.html#K7" title="CAT_1:func.7">Hom</a> <font color="Maroon" title="c2">a</font>,<span class="p1">(<span class="default"><a href="cat_4.html#K1" title="CAT_4:func.1">[1]</a> <font color="Maroon" title="c1">C</font></span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<b>by </b><i><a class="ref" href="cat_4.html#T15" target="_self" title="CAT_4:th.15">Th15</a></i>;<br/>
<a NAME="E2:28"/>
for <font color="Olive" title="b1">f2</font> being   <a href="cat_1.html#M1" title="CAT_1:mode.1">Morphism</a> of <font color="Maroon" title="c2">a</font>, <a href="cat_4.html#K1" title="CAT_4:func.1">[1]</a> <font color="Maroon" title="c1">C</font> holds   <a href="cat_4.html#K6" title="CAT_4:func.6">term</a> <font color="Maroon" title="c2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">f2</font>
 
<b>by </b><i><a class="ref" href="cat_4.html#T14" target="_self" title="CAT_4:th.14">Th14</a></i>;<br/>
<b>hence </b><a NAME="E3:28"/>
 <a href="cat_1.html#K7" title="CAT_1:func.7">Hom</a> <font color="Maroon" title="c2">a</font>,<span class="p1">(<span class="default"><a href="cat_4.html#K1" title="CAT_4:func.1">[1]</a> <font color="Maroon" title="c1">C</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K6" title="CAT_4:func.6">term</a> <font color="Maroon" title="c2">a</font></span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>
 <b>by </b><i><a class="txt" href="cat_4.html#E1:28"><i><font color="Green" title="E13">A1</font></i></a>, <a class="ref" href="cat_1.html#T26" title="CAT_1:th.26">CAT_1:26</a></i>;<br/>


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