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<b>let </b><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:()"><i><font color="Red">::  thesis: </font></i></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/>





<b>given </b><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><b> such that </b><a NAME="E2:19"/><i><font color="Green" title="E14">A1</font></i>: 
<font color="Maroon" title="c4">F1</font> is <a href="cat_1.html#V8" title="CAT_1:attr.8">isomorphic</a>
 ; <i><font color="Red">:: according to </font></i><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:()"><i><font color="Red">::  thesis: </font></i></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/>

<b>given </b><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><b> such that </b><a NAME="E4:19"/><i><font color="Green" title="E15">A2</font></i>: 
<font color="Maroon" title="c5">F2</font> is <a href="cat_1.html#V8" title="CAT_1:attr.8">isomorphic</a>
 ; <i><font color="Red">:: according to </font></i><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:()"><i><font color="Red">::  thesis: </font></i></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/>

<b>take </b>
<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>
; <i><font color="Red">:: according to </font></i><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:()"><i><font color="Red">::  thesis: </font></i></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/>

<b>thus </b><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>
 <b>by </b><i><a class="txt" href="#E2:19"><i><font color="Green" title="E14">A1</font></i></a>, <a class="txt" href="#E4:19"><i><font color="Green" title="E15">A2</font></i></a>, <a class="ref" href="isocat_1.html#T17" target="_self" title="ISOCAT_1:th.17">Th17</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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