<?xml version="1.0"?>
<div class="add">

<span class="kw">let </span><font color="Maroon" title="c1">A</font>, <font color="Maroon" title="c2">B</font>, <font color="Maroon" title="c3">C</font> be   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">A</font> <a href="isocat_1.html#NR2" title="ISOCAT_1:NR.2">~=</a> <font color="Maroon" title="c2">B</font> &amp; <font color="Maroon" title="c2">B</font> <a href="isocat_1.html#NR2" title="ISOCAT_1:NR.2">~=</a> <font color="Maroon" title="c3">C</font> implies <font color="Maroon" title="c1">A</font> <a href="isocat_1.html#NR2" title="ISOCAT_1:NR.2">~=</a> <font color="Maroon" title="c3">C</font> )</span><br/>





<span class="kw">given </span><font color="Maroon" title="c4">F1</font> being    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c1">A</font>,<font color="Maroon" title="c2">B</font><span class="kw"> such that </span><a NAME="E2:19"/><span class="lab"><font color="Green" title="E14">A1</font></span>: 
<font color="Maroon" title="c4">F1</font> is  <a href="cat_1.html#V8" title="CAT_1:attr.8">isomorphic</a> 
 ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="isocat_1.html#D4" target="_self" title="ISOCAT_1:def.4">ISOCAT_1:def 4</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  not <font color="Maroon" title="c2">B</font> <a href="isocat_1.html#NR2" title="ISOCAT_1:NR.2">~=</a> <font color="Maroon" title="c3">C</font> or <font color="Maroon" title="c1">A</font> <a href="isocat_1.html#NR2" title="ISOCAT_1:NR.2">~=</a> <font color="Maroon" title="c3">C</font> )</span><br/>

<span class="kw">given </span><font color="Maroon" title="c5">F2</font> being    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c2">B</font>,<font color="Maroon" title="c3">C</font><span class="kw"> such that </span><a NAME="E4:19"/><span class="lab"><font color="Green" title="E15">A2</font></span>: 
<font color="Maroon" title="c5">F2</font> is  <a href="cat_1.html#V8" title="CAT_1:attr.8">isomorphic</a> 
 ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="isocat_1.html#D4" target="_self" title="ISOCAT_1:def.4">ISOCAT_1:def 4</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">A</font> <a href="isocat_1.html#NR2" title="ISOCAT_1:NR.2">~=</a> <font color="Maroon" title="c3">C</font></span><br/>

<span class="kw">take </span>
<font color="Maroon" title="c5">F2</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c4">F1</font>
; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="isocat_1.html#D4" target="_self" title="ISOCAT_1:def.4">ISOCAT_1:def 4</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c5">F2</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c4">F1</font> is  <a href="cat_1.html#V8" title="CAT_1:attr.8">isomorphic</a> </span><br/>

<span class="kw">thus </span><a NAME="E5:19"/>
<font color="Maroon" title="c5">F2</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c4">F1</font> is  <a href="cat_1.html#V8" title="CAT_1:attr.8">isomorphic</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:19"><span class="lab"><font color="Green" title="E14">A1</font></span></a>, <a class="txt" href="#E4:19"><span class="lab"><font color="Green" title="E15">A2</font></span></a>, <a class="ref" href="isocat_1.html#T14" target="_self" title="ISOCAT_1:th.14">Th17</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
