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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="cat_5.html#V3" target="_self">Categorial</a> <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="cat_1.html#NM2">Morphism</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>reconsider </b><font color="Maroon">c<sub>3</sub></font> =  <a href="cat_1.html#K2">dom</a> <font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>4</sub></font> =  <a href="cat_1.html#K3">cod</a> <font color="Maroon">c<sub>2</sub></font> as   <a href="cat_1.html#NM4">Category</a> <b>by </b><i><a class="ref" href="cat_5.html#T12" target="_self">Th12</a></i>;<br/>
<a NAME="E2:30"/>
ex <font color="Olive">b<sub>1</sub></font> being   <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font> st <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font></span><a href="tarski.html#K4">]</a></span>,<font color="Olive">b<sub>1</sub></font></span><a href="tarski.html#K4">]</a></span>
 
<b>by </b><i><a class="ref" href="cat_5.html#D6" target="_self">Def6</a></i>;<br/>
<b>hence </b><a NAME="E3:30"/>
(  <a href="cat_1.html#K2">dom</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="cat_5.html#K4" target="_self">`11</a>  &amp;  <a href="cat_1.html#K3">cod</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="cat_5.html#K5" target="_self">`12</a>  )
 <b>by </b><i><a class="ref" href="mcart_1.html#T89">MCART_1:89</a></i>;<br/>


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