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

<b>consider </b><font color="Maroon" title="c3">o</font> being   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">object</a> of <font color="Maroon" title="c2">C2</font>;<br/>
<b>take </b>
<font color="Maroon" title="c1">C1</font> <a href="functor0.html#K9" title="FUNCTOR0:func.9">--&gt;</a> <span class="p1">(<span class="default"><a href="altcat_1.html#K8" title="ALTCAT_1:func.8">idm</a> <font color="Maroon" title="c3">o</font></span>)</span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">C1</font> <a href="functor0.html#K9" title="FUNCTOR0:func.9">--&gt;</a> <span class="p1">(<span class="default"><a href="altcat_1.html#K8" title="ALTCAT_1:func.8">idm</a> <font color="Maroon" title="c3">o</font></span>)</span> is <a href="functor0.html#V8" title="FUNCTOR0:attr.8">feasible</a> &amp; <font color="Maroon" title="c1">C1</font> <a href="functor0.html#K9" title="FUNCTOR0:func.9">--&gt;</a> <span class="p1">(<span class="default"><a href="altcat_1.html#K8" title="ALTCAT_1:func.8">idm</a> <font color="Maroon" title="c3">o</font></span>)</span> is <a href="functor0.html#V12" title="FUNCTOR0:attr.12">id-preserving</a> &amp; ( ( <font color="Maroon" title="c1">C1</font> <a href="functor0.html#K9" title="FUNCTOR0:func.9">--&gt;</a> <span class="p1">(<span class="default"><a href="altcat_1.html#K8" title="ALTCAT_1:func.8">idm</a> <font color="Maroon" title="c3">o</font></span>)</span> is <a href="functor0.html#V10" title="FUNCTOR0:attr.10">Covariant</a> &amp; <font color="Maroon" title="c1">C1</font> <a href="functor0.html#K9" title="FUNCTOR0:func.9">--&gt;</a> <span class="p1">(<span class="default"><a href="altcat_1.html#K8" title="ALTCAT_1:func.8">idm</a> <font color="Maroon" title="c3">o</font></span>)</span> is <a href="functor0.html#V13" title="FUNCTOR0:attr.13">comp-preserving</a> ) or ( <font color="Maroon" title="c1">C1</font> <a href="functor0.html#K9" title="FUNCTOR0:func.9">--&gt;</a> <span class="p1">(<span class="default"><a href="altcat_1.html#K8" title="ALTCAT_1:func.8">idm</a> <font color="Maroon" title="c3">o</font></span>)</span> is <a href="functor0.html#V11" title="FUNCTOR0:attr.11">Contravariant</a> &amp; <font color="Maroon" title="c1">C1</font> <a href="functor0.html#K9" title="FUNCTOR0:func.9">--&gt;</a> <span class="p1">(<span class="default"><a href="altcat_1.html#K8" title="ALTCAT_1:func.8">idm</a> <font color="Maroon" title="c3">o</font></span>)</span> is <a href="functor0.html#V14" title="FUNCTOR0:attr.14">comp-reversing</a> ) ) )</span><br/>

<b>thus </b><a NAME="E2:70_1_1"/>
( <font color="Maroon" title="c1">C1</font> <a href="functor0.html#K9" title="FUNCTOR0:func.9">--&gt;</a> <span class="p1">(<span class="default"><a href="altcat_1.html#K8" title="ALTCAT_1:func.8">idm</a> <font color="Maroon" title="c3">o</font></span>)</span> is <a href="functor0.html#V8" title="FUNCTOR0:attr.8">feasible</a> &amp; <font color="Maroon" title="c1">C1</font> <a href="functor0.html#K9" title="FUNCTOR0:func.9">--&gt;</a> <span class="p1">(<span class="default"><a href="altcat_1.html#K8" title="ALTCAT_1:func.8">idm</a> <font color="Maroon" title="c3">o</font></span>)</span> is <a href="functor0.html#V12" title="FUNCTOR0:attr.12">id-preserving</a> &amp; ( ( <font color="Maroon" title="c1">C1</font> <a href="functor0.html#K9" title="FUNCTOR0:func.9">--&gt;</a> <span class="p1">(<span class="default"><a href="altcat_1.html#K8" title="ALTCAT_1:func.8">idm</a> <font color="Maroon" title="c3">o</font></span>)</span> is <a href="functor0.html#V10" title="FUNCTOR0:attr.10">Covariant</a> &amp; <font color="Maroon" title="c1">C1</font> <a href="functor0.html#K9" title="FUNCTOR0:func.9">--&gt;</a> <span class="p1">(<span class="default"><a href="altcat_1.html#K8" title="ALTCAT_1:func.8">idm</a> <font color="Maroon" title="c3">o</font></span>)</span> is <a href="functor0.html#V13" title="FUNCTOR0:attr.13">comp-preserving</a> ) or ( <font color="Maroon" title="c1">C1</font> <a href="functor0.html#K9" title="FUNCTOR0:func.9">--&gt;</a> <span class="p1">(<span class="default"><a href="altcat_1.html#K8" title="ALTCAT_1:func.8">idm</a> <font color="Maroon" title="c3">o</font></span>)</span> is <a href="functor0.html#V11" title="FUNCTOR0:attr.11">Contravariant</a> &amp; <font color="Maroon" title="c1">C1</font> <a href="functor0.html#K9" title="FUNCTOR0:func.9">--&gt;</a> <span class="p1">(<span class="default"><a href="altcat_1.html#K8" title="ALTCAT_1:func.8">idm</a> <font color="Maroon" title="c3">o</font></span>)</span> is <a href="functor0.html#V14" title="FUNCTOR0:attr.14">comp-reversing</a> ) ) )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
