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<b>let </b><font color="Maroon" title="c1">C</font>, <font color="Maroon" title="c2">D</font>, <font color="Maroon" title="c3">E</font> be   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a>;<br/><b>let </b><font color="Maroon" title="c4">F</font> be    <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="c2">D</font>;<br/><b>let </b><font color="Maroon" title="c5">G</font> be    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c2">D</font>,<font color="Maroon" title="c3">E</font>;<br/><b>let </b><font color="Maroon" title="c6">I</font> be   <a href="index_1.html#NM9" title="INDEX_1:NM.9">Indexing</a> of <font color="Maroon" title="c3">E</font>;<br/>







<b>set </b><font color="Maroon" title="c7">T</font> =  <a href="index_1.html#K16" title="INDEX_1:func.16">rng</a> <font color="Maroon" title="c6">I</font>;<br/>
<b>reconsider </b><font color="Maroon" title="c8">T'</font> =  <a href="index_1.html#K16" title="INDEX_1:func.16">rng</a> <font color="Maroon" title="c6">I</font> as    <a href="index_1.html#M4" title="INDEX_1:mode.4">TargetCat</a> of <font color="Maroon" title="c6">I</font> <a href="index_1.html#K20" title="INDEX_1:func.20">*</a> <font color="Maroon" title="c5">G</font> <b>by </b><i><a class="ref" href="index_1.html#T24" target="_self" title="INDEX_1:th.24">Th24</a></i>;<br/>
<a NAME="E2:67"/>
<font color="Maroon" title="c6">I</font> <a href="index_1.html#K20" title="INDEX_1:func.20">*</a> <font color="Maroon" title="c5">G</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="c6">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="c6">I</font></span>)</span></span>)</span> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c5">G</font></span>)</span> <a href="index_1.html#K19" title="INDEX_1:func.19">-indexing_of</a> <font color="Maroon" title="c2">D</font>
 
<b>by </b><i><a class="ref" href="index_1.html#T23" target="_self" title="INDEX_1:th.23">Th23</a></i>;<br/>
<a NAME="E3:67"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon" title="c6">I</font> <a href="index_1.html#K20" title="INDEX_1:func.20">*</a> <font color="Maroon" title="c5">G</font></span>)</span> <a href="index_1.html#K15" title="INDEX_1:func.15">-functor</a> <font color="Maroon" title="c2">D</font>,<font color="Maroon" title="c8">T'</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">I</font> <a href="index_1.html#K15" title="INDEX_1:func.15">-functor</a> <font color="Maroon" title="c3">E</font>,<span class="p2">(<span class="default"><a href="index_1.html#K16" title="INDEX_1:func.16">rng</a> <font color="Maroon" title="c6">I</font></span>)</span></span>)</span> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c5">G</font>
 
<b>by </b><i><a class="ref" href="index_1.html#T18" target="_self" title="INDEX_1:th.18">Th18</a></i>;<br/>
<b>hence </b><span class="p1">(<span class="default"><font color="Maroon" title="c6">I</font> <a href="index_1.html#K20" title="INDEX_1:func.20">*</a> <font color="Maroon" title="c5">G</font></span>)</span> <a href="index_1.html#K20" title="INDEX_1:func.20">*</a> <font color="Maroon" title="c4">F</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">I</font> <a href="index_1.html#K15" title="INDEX_1:func.15">-functor</a> <font color="Maroon" title="c3">E</font>,<span class="p4">(<span class="default"><a href="index_1.html#K16" title="INDEX_1:func.16">rng</a> <font color="Maroon" title="c6">I</font></span>)</span></span>)</span> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c5">G</font></span>)</span> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c4">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>by </b><i><a class="ref" href="index_1.html#T23" target="_self" title="INDEX_1:th.23">Th23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">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="c6">I</font></span>)</span></span>)</span> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <span class="p2">(<span class="default"><font color="Maroon" title="c5">G</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c4">F</font></span>)</span></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="ref" href="relat_1.html#T55" title="RELAT_1:th.55">RELAT_1:55</a></i>
<br/>.= 
<font color="Maroon" title="c6">I</font> <a href="index_1.html#K20" title="INDEX_1:func.20">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">G</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c4">F</font></span>)</span>
<b>by </b><i><a class="ref" href="index_1.html#T23" target="_self" title="INDEX_1:th.23">Th23</a></i>
;<br/><br/>


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