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<b>let </b><font color="Maroon" title="c3">A</font>, <font color="Maroon" title="c4">B</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> <a href="altcat_1.html#V2" title="ALTCAT_1:attr.2">transitive</a> <a href="altcat_1.html#V12" title="ALTCAT_1:attr.12">with_units</a>  <a href="altcat_1.html#L2" title="ALTCAT_1:struct.2">AltCatStr</a> ;<br/>

<b>given </b><font color="Maroon" title="c5">F</font> being    <a href="functor0.html#M2" title="FUNCTOR0: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="E2:123_2_1"/><i><font color="Green" title="E81">A3</font></i>: 
( <font color="Maroon" title="c5">F</font> is <a href="functor0.html#V21" title="FUNCTOR0:attr.21">bijective</a> &amp; <font color="Maroon" title="c5">F</font> is <a href="functor0.html#V16" title="FUNCTOR0:attr.16">contravariant</a> )
 ;<br/>

<b>consider </b><font color="Maroon" title="c6">G</font> being    <a href="functor0.html#M2" title="FUNCTOR0:mode.2">Functor</a> of <font color="Maroon" title="c4">B</font>,<font color="Maroon" title="c3">A</font><b> such that </b><br/><a NAME="E4:123_2_1"/>
<font color="Maroon" title="c6">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">F</font> <a href="functor0.html#K15" title="FUNCTOR0:func.15">"</a> 
 <b>and </b><br/><a NAME="E5:123_2_1"/><i><font color="Green" title="E82">A4</font></i>: 
( <font color="Maroon" title="c6">G</font> is <a href="functor0.html#V21" title="FUNCTOR0:attr.21">bijective</a> &amp; <font color="Maroon" title="c6">G</font> is <a href="functor0.html#V16" title="FUNCTOR0:attr.16">contravariant</a> )
 <b>by </b><i><a class="txt" href="functor0.html#E2:123_2_1"><i><font color="Green" title="E81">A3</font></i></a>, <a class="ref" href="functor0.html#T50" target="_self" title="FUNCTOR0:th.50">Th50</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c6">G</font>
;<br/>

<b>thus </b><a NAME="E6:123_2_1"/>
( <font color="Maroon" title="c6">G</font> is <a href="functor0.html#V21" title="FUNCTOR0:attr.21">bijective</a> &amp; <font color="Maroon" title="c6">G</font> is <a href="functor0.html#V16" title="FUNCTOR0:attr.16">contravariant</a> )
 <b>by </b><i><a class="txt" href="functor0.html#E5:123_2_1"><i><font color="Green" title="E82">A4</font></i></a></i>;<br/>


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