<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E60">Th41</font></span>: <a NAME="T41"><span class="comment"><font color="firebrick">:: FUNCTOR0:41</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">B</font> being   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/>  for <font color="Olive" title="b3">F</font> being   <a href="functor0.html#V6" title="FUNCTOR0:attr.6">reflexive</a>   <a href="functor0.html#V8" title="FUNCTOR0:attr.8">feasible</a>   <a href="functor0.html#L2" title="FUNCTOR0:struct.2">FunctorStr</a> over <font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font>  st <font color="Olive" title="b3">F</font> is  <a href="functor0.html#V21" title="FUNCTOR0:attr.21">bijective</a>  &amp; <font color="Olive" title="b3">F</font> is  <a href="functor0.html#V7" title="FUNCTOR0:attr.7">coreflexive</a>  &amp; <font color="Olive" title="b3">F</font> is  <a href="functor0.html#V11" title="FUNCTOR0:attr.11">Contravariant</a>  holds <br/> for <font color="Olive" title="b4">o1</font>, <font color="Olive" title="b5">o2</font> being   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">Object</a> of <font color="Olive" title="b2">B</font><br/>  for <font color="Olive" title="b6">m</font> being   <a href="altcat_1.html#NM2" title="ALTCAT_1:NM.2">Morphism</a> of <font color="Olive" title="b4">o1</font>,<font color="Olive" title="b5">o2</font>  st <span class="p1"><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">&lt;^</a><span class="default"><font color="Olive" title="b4">o1</font>,<font color="Olive" title="b5">o2</font></span><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">^&gt;</a></span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  holds <br/><span class="p1">(<span class="default"><a href="functor0.html#K3" title="FUNCTOR0:func.3">Morph-Map</a> (<font color="Olive" title="b3">F</font>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b3">F</font> <a href="functor0.html#K14" title="FUNCTOR0:func.14">"</a></span>)</span> <a href="functor0.html#K2" title="FUNCTOR0:func.2">.</a> <font color="Olive" title="b5">o2</font></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b3">F</font> <a href="functor0.html#K14" title="FUNCTOR0:func.14">"</a></span>)</span> <a href="functor0.html#K2" title="FUNCTOR0:func.2">.</a> <font color="Olive" title="b4">o1</font></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="functor0.html#K3" title="FUNCTOR0:func.3">Morph-Map</a> (<span class="p3">(<span class="default"><font color="Olive" title="b3">F</font> <a href="functor0.html#K14" title="FUNCTOR0:func.14">"</a></span>)</span>,<font color="Olive" title="b4">o1</font>,<font color="Olive" title="b5">o2</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b6">m</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">m</font></div></div>
