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<b>reconsider </b><font color="Maroon">A</font> =  <a href="cat_5.html#K7">Image</a> <font color="Maroon">F</font> as    <a href="cat_2.html#M3">Subcategory</a> of <font color="Maroon">E</font> <b>by </b><i/>;<br/>
<b>reconsider </b><font color="Maroon">G</font> = <font color="Maroon">F</font> as    <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">C</font>,<font color="Maroon">A</font> <b>by </b><i><a class="ref" href="cat_5.html#T8">CAT_5:8</a></i>;<br/>
<b>reconsider </b><font color="Maroon">G</font> = <font color="Maroon">G</font> as    <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">C</font>,<font color="Maroon">E</font> <b>by </b><i/>;<br/>
<b>let </b><font color="Maroon">J1</font> be   <a href="index_1.html#NM9">Indexing</a> of <font color="Maroon">C</font>, <font color="Maroon">J2</font> be   <a href="index_1.html#NM9">Indexing</a> of <font color="Maroon">C</font>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E4:62_1_2"/><i><font color="Green">E26</font></i>: 
for <font color="Olive">F'</font> being   <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">C</font>,<font color="Maroon">E</font>  st <font color="Olive">F'</font> <a href="funct_2.html#R1">=</a> <font color="Maroon">F</font> holds <br/><font color="Maroon">J1</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="index_1.html#K15" target="_self">-functor</a> <font color="Maroon">E</font>,<span class="p3">(<span class="default"><a href="index_1.html#K16" target="_self">rng</a> <font color="Maroon">I</font></span>)</span></span>)</span> <a href="cat_1.html#K14">*</a> <font color="Olive">F'</font></span>)</span> <a href="index_1.html#K19" target="_self">-indexing_of</a> <font color="Maroon">C</font>
 <b>and </b><br/><a NAME="E5:62_1_2"/><i><font color="Green">E28</font></i>: 
for <font color="Olive">F'</font> being   <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">C</font>,<font color="Maroon">E</font>  st <font color="Olive">F'</font> <a href="funct_2.html#R1">=</a> <font color="Maroon">F</font> holds <br/><font color="Maroon">J2</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="index_1.html#K15" target="_self">-functor</a> <font color="Maroon">E</font>,<span class="p3">(<span class="default"><a href="index_1.html#K16" target="_self">rng</a> <font color="Maroon">I</font></span>)</span></span>)</span> <a href="cat_1.html#K14">*</a> <font color="Olive">F'</font></span>)</span> <a href="index_1.html#K19" target="_self">-indexing_of</a> <font color="Maroon">C</font>
 ;<br/>

<b>thus </b><font color="Maroon">J1</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">I</font> <a href="index_1.html#K15" target="_self">-functor</a> <font color="Maroon">E</font>,<span class="p3">(<span class="default"><a href="index_1.html#K16" target="_self">rng</a> <font color="Maroon">I</font></span>)</span></span>)</span> <a href="cat_1.html#K14">*</a> <font color="Maroon">G</font></span>)</span> <a href="index_1.html#K19" target="_self">-indexing_of</a> <font color="Maroon">C</font>
<b>by </b><i><a class="ref" href="index_1.html#T2" target="_self">Th2</a></i>
<br/>.= 
<font color="Maroon">J2</font>
<b>by </b><i/>
;<br/>


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