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<b>let </b><font color="Maroon">A</font> be   <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">B</font> be   <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">C</font> be   <a href="cat_1.html#NM4">Category</a>;<br/>





<b>given </b><font color="Maroon">F1</font> being    <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">A</font>,<font color="Maroon">B</font><b> such that </b><a NAME="E1:20"/><i><font color="Green">E18</font></i>: 
<font color="Maroon">F1</font> <a href="isocat_1.html#NR1" target="_self">is_an_isomorphism</a> 
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="isocat_1.html#D4" target="_self">ISOCAT_1:def 4</a><br/>

<b>given </b><font color="Maroon">F2</font> being    <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">B</font>,<font color="Maroon">C</font><b> such that </b><a NAME="E2:20"/><i><font color="Green">E19</font></i>: 
<font color="Maroon">F2</font> <a href="isocat_1.html#NR1" target="_self">is_an_isomorphism</a> 
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="isocat_1.html#D4" target="_self">ISOCAT_1:def 4</a><br/>

<b>take </b>
<font color="Maroon">F2</font> <a href="cat_1.html#K14">*</a> <font color="Maroon">F1</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="isocat_1.html#D4" target="_self">ISOCAT_1:def 4</a><br/>

<b>thus </b><a NAME="E3:20"/>
<font color="Maroon">F2</font> <a href="cat_1.html#K14">*</a> <font color="Maroon">F1</font> <a href="isocat_1.html#NR1" target="_self">is_an_isomorphism</a> 
 <b>by </b><i>, <a class="ref" href="isocat_1.html#T1" target="_self">Th1</a>, </i>;<br/>


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