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<b>let </b><font color="Maroon" title="c1">C</font>, <font color="Maroon" title="c2">D</font> be   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a>;<br/><b>let </b><font color="Maroon" title="c3">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="c4">I</font> be   <a href="index_1.html#NM9" title="INDEX_1:NM.9">Indexing</a> of <font color="Maroon" title="c2">D</font>;<br/><b>let </b><font color="Maroon" title="c5">T</font> be    <a href="index_1.html#M4" title="INDEX_1:mode.4">TargetCat</a> of <font color="Maroon" title="c4">I</font>;<br/>







<a NAME="E1:64"/>
(  <a href="cat_5.html#K7" title="CAT_5:func.7">Image</a> <font color="Maroon" title="c3">F</font> is    <a href="cat_2.html#M3" title="CAT_2:mode.3">Subcategory</a> of <font color="Maroon" title="c2">D</font> &amp; <font color="Maroon" title="c4">I</font> <a href="index_1.html#K15" title="INDEX_1:func.15">-functor</a> <font color="Maroon" title="c2">D</font>,<span class="p1">(<span class="default"><a href="index_1.html#K16" title="INDEX_1:func.16">rng</a> <font color="Maroon" title="c4">I</font></span>)</span> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a> <font color="Maroon" title="c4">I</font> <a href="index_1.html#K15" title="INDEX_1:func.15">-functor</a> <font color="Maroon" title="c2">D</font>,<font color="Maroon" title="c5">T</font> )
 
<b>by </b><i><a class="ref" href="index_1.html#T11" target="_self" title="INDEX_1:th.11">Th11</a></i>;<br/>
<a NAME="E2:64"/><b>then </b>
( <span class="p1">(<span class="default"><font color="Maroon" title="c4">I</font> <a href="index_1.html#K15" title="INDEX_1:func.15">-functor</a> <font color="Maroon" title="c2">D</font>,<span class="p2">(<span class="default"><a href="index_1.html#K16" title="INDEX_1:func.16">rng</a> <font color="Maroon" title="c4">I</font></span>)</span></span>)</span> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c3">F</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">I</font> <a href="index_1.html#K15" title="INDEX_1:func.15">-functor</a> <font color="Maroon" title="c2">D</font>,<font color="Maroon" title="c5">T</font></span>)</span> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c3">F</font> &amp; <font color="Maroon" title="c4">I</font> <a href="index_1.html#K20" title="INDEX_1:func.20">*</a> <font color="Maroon" title="c3">F</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="c4">I</font> <a href="index_1.html#K15" title="INDEX_1:func.15">-functor</a> <font color="Maroon" title="c2">D</font>,<span class="p3">(<span class="default"><a href="index_1.html#K16" title="INDEX_1:func.16">rng</a> <font color="Maroon" title="c4">I</font></span>)</span></span>)</span> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c3">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#D16" target="_self" title="INDEX_1:def.16">Def16</a></i>;<br/>
<b>hence </b><a NAME="E3:64"/>
<font color="Maroon" title="c4">I</font> <a href="index_1.html#K20" title="INDEX_1:func.20">*</a> <font color="Maroon" title="c3">F</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="c4">I</font> <a href="index_1.html#K15" title="INDEX_1:func.15">-functor</a> <font color="Maroon" title="c2">D</font>,<font color="Maroon" title="c5">T</font></span>)</span> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c3">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#T19" target="_self" title="INDEX_1:th.19">Th19</a></i>;<br/>


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