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<b>reconsider </b><font color="Maroon" title="c6">A</font> =  <a href="cat_5.html#K7" title="CAT_5:func.7">Image</a> <font color="Maroon" title="c4">F</font> as    <a href="cat_2.html#M3" title="CAT_2:mode.3">Subcategory</a> of <font color="Maroon" title="c3">E</font> <b>by </b><i><a class="txt" href="index_1.html#E1:62"><i><font color="Green" title="E27">A1</font></i></a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c7">G</font> = <font color="Maroon" title="c4">F</font> as    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c1">C</font>,<font color="Maroon" title="c6">A</font> <b>by </b><i><a class="ref" href="cat_5.html#T8" title="CAT_5:th.8">CAT_5:8</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c8">G</font> = <font color="Maroon" title="c7">G</font> as    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c1">C</font>,<font color="Maroon" title="c3">E</font> <b>by </b><i><a class="txt" href="index_1.html#E41"><i><font color="Green" title="E26">Lm5</font></i></a></i>;<br/>
<b>let </b><font color="Maroon" title="c9">J1</font>, <font color="Maroon" title="c10">J2</font> be   <a href="index_1.html#NM9" title="INDEX_1:NM.9">Indexing</a> of <font color="Maroon" title="c1">C</font>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E4:62_1_2"/><i><font color="Green" title="E28">A2</font></i>: 
for <font color="Olive" title="b1">F'</font> being   <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c1">C</font>,<font color="Maroon" title="c3">E</font>  st <font color="Olive" title="b1">F'</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a> <font color="Maroon" title="c4">F</font> holds <br/><font color="Maroon" title="c9">J1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">I</font> <a href="index_1.html#K15" title="INDEX_1:func.15">-functor</a> <font color="Maroon" title="c3">E</font>,<span class="p3">(<span class="default"><a href="index_1.html#K16" title="INDEX_1:func.16">rng</a> <font color="Maroon" title="c5">I</font></span>)</span></span>)</span> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Olive" title="b1">F'</font></span>)</span> <a href="index_1.html#K19" title="INDEX_1:func.19">-indexing_of</a> <font color="Maroon" title="c1">C</font>
 <b>and </b><br/><a NAME="E5:62_1_2"/><i><font color="Green" title="E29">A3</font></i>: 
for <font color="Olive" title="b1">F'</font> being   <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c1">C</font>,<font color="Maroon" title="c3">E</font>  st <font color="Olive" title="b1">F'</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a> <font color="Maroon" title="c4">F</font> holds <br/><font color="Maroon" title="c10">J2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">I</font> <a href="index_1.html#K15" title="INDEX_1:func.15">-functor</a> <font color="Maroon" title="c3">E</font>,<span class="p3">(<span class="default"><a href="index_1.html#K16" title="INDEX_1:func.16">rng</a> <font color="Maroon" title="c5">I</font></span>)</span></span>)</span> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Olive" title="b1">F'</font></span>)</span> <a href="index_1.html#K19" title="INDEX_1:func.19">-indexing_of</a> <font color="Maroon" title="c1">C</font>
 ;<br/>

<b>thus </b><font color="Maroon" title="c9">J1</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">I</font> <a href="index_1.html#K15" title="INDEX_1:func.15">-functor</a> <font color="Maroon" title="c3">E</font>,<span class="p3">(<span class="default"><a href="index_1.html#K16" title="INDEX_1:func.16">rng</a> <font color="Maroon" title="c5">I</font></span>)</span></span>)</span> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c8">G</font></span>)</span> <a href="index_1.html#K19" title="INDEX_1:func.19">-indexing_of</a> <font color="Maroon" title="c1">C</font>
<b>by </b><i><a class="txt" href="index_1.html#E4:62_1_2"><i><font color="Green" title="E28">A2</font></i></a></i>
<br/>.= 
<font color="Maroon" title="c10">J2</font>
<b>by </b><i><a class="txt" href="index_1.html#E5:62_1_2"><i><font color="Green" title="E29">A3</font></i></a></i>
;<br/>


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