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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="index_1.html#NM9">Indexing</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="index_1.html#M4" target="_self">TargetCat</a> of <font color="Maroon">c<sub>2</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be  <a href="cat_5.html#V3">Categorial</a> <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">c<sub>5</sub></font> be    <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font>;<br/>









<a NAME="E1:71"/>
 <a href="cat_5.html#K7">Image</a> <font color="Maroon">c<sub>5</sub></font> is    <a href="index_1.html#M4" target="_self">TargetCat</a> of <font color="Maroon">c<sub>5</sub></font> <a href="index_1.html#K21" target="_self">*</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="index_1.html#T28" target="_self">Th28</a></i>;<br/>
<a NAME="E2:71"/><b>then </b>
 <a href="index_1.html#K16" target="_self">rng</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="index_1.html#K21" target="_self">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> is    <a href="cat_2.html#M3">Subcategory</a> of  <a href="cat_5.html#K7">Image</a> <font color="Maroon">c<sub>5</sub></font>
 
<b>by </b><i><a class="ref" href="index_1.html#T14" target="_self">Th14</a></i>;<br/>
<a NAME="E3:71"/><b>then </b>
 <a href="index_1.html#K16" target="_self">rng</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="index_1.html#K21" target="_self">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> is    <a href="cat_2.html#M3">Subcategory</a> of <font color="Maroon">c<sub>4</sub></font>
 
<b>by </b><i><a class="ref" href="cat_5.html#T4">CAT_5:4</a></i>;<br/>
<b>hence </b><a NAME="E4:71"/>
<font color="Maroon">c<sub>4</sub></font> is    <a href="index_1.html#M4" target="_self">TargetCat</a> of <font color="Maroon">c<sub>5</sub></font> <a href="index_1.html#K21" target="_self">*</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="index_1.html#T14" target="_self">Th14</a></i>;<br/>


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