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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be   <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font>;<br/>



<a NAME="E1:18"/>
 <a href="relset_1.html#K5">rng</a> <font color="Maroon">c<sub>3</sub></font> <a href="tarski.html#R1">c=</a> the <a href="cat_1.html#U2">Morphisms</a> of <span class="p1">(<span class="default"><a href="cat_5.html#K7" target="_self">Image</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="cat_5.html#D3" target="_self">Def3</a></i>;<br/>
<b>hence </b><a NAME="E2:18"/>
<font color="Maroon">c<sub>3</sub></font> is    <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">c<sub>1</sub></font>, <a href="cat_5.html#K7" target="_self">Image</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="cat_5.html#T7" target="_self">Th7</a></i>;<br/>


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