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<b>let </b><font color="Maroon" title="c3">A</font>, <font color="Maroon" title="c4">B</font> be   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  ex <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="c3">A</font>,<font color="Maroon" title="c4">B</font> st <font color="Olive" title="b1">F</font> is <a href="cat_1.html#V8" title="CAT_1:attr.8">isomorphic</a> implies  ex <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="c4">B</font>,<font color="Maroon" title="c3">A</font> st <font color="Olive" title="b1">F</font> is <a href="cat_1.html#V8" title="CAT_1:attr.8">isomorphic</a> )</span><br/>



<b>given </b><font color="Maroon" title="c5">F</font> being    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c3">A</font>,<font color="Maroon" title="c4">B</font><b> such that </b><a NAME="E2:17_1_2"/><i><font color="Green" title="E14">A1</font></i>: 
<font color="Maroon" title="c5">F</font> is <a href="cat_1.html#V8" title="CAT_1:attr.8">isomorphic</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  ex <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="c4">B</font>,<font color="Maroon" title="c3">A</font> st <font color="Olive" title="b1">F</font> is <a href="cat_1.html#V8" title="CAT_1:attr.8">isomorphic</a></span><br/>

<b>take </b>
<font color="Maroon" title="c5">F</font> <a href="isocat_1.html#K1" title="ISOCAT_1:func.1">"</a> 
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c5">F</font> <a href="isocat_1.html#K1" title="ISOCAT_1:func.1">"</a>  is <a href="cat_1.html#V8" title="CAT_1:attr.8">isomorphic</a></span><br/>

<b>thus </b><a NAME="E3:17_1_2"/>
<font color="Maroon" title="c5">F</font> <a href="isocat_1.html#K1" title="ISOCAT_1:func.1">"</a>  is <a href="cat_1.html#V8" title="CAT_1:attr.8">isomorphic</a>
 <b>by </b><i><a class="txt" href="#E2:17_1_2"><i><font color="Green" title="E14">A1</font></i></a>, <a class="ref" href="isocat_1.html#T13" target="_self" title="ISOCAT_1:th.13">Th13</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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