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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="cat_1.html#NM1">Object</a> of <font color="Maroon">c<sub>2</sub></font>;<br/>





<b>assume </b><a NAME="E1:94"/><i><font color="Green">E65</font></i>: 
 <a href="ens_1.html#K17" target="_self">Hom</a> <font color="Maroon">c<sub>2</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/>

<b>thus </b><span class="p1">(<span class="default"><a href="ens_1.html#K26" target="_self">hom??</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="cat_2.html#K15">?-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="oppcat_1.html#K3">opp</a> </span>)</span> = 
<span class="p1">(<span class="default"><a href="funct_5.html#K3">curry</a> <span class="p2">(<span class="default"><a href="ens_1.html#K26" target="_self">hom??</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="cat_1.html#K10">id</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="oppcat_1.html#K3">opp</a> </span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><a href="funct_5.html#K3">curry</a> <span class="p2">(<span class="default"><a href="ens_1.html#K26" target="_self">hom??</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="oppcat_1.html#K5">opp</a> </span>)</span>
<b>by </b><i><a class="ref" href="oppcat_1.html#T21">OPPCAT_1:21</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="funct_5.html#K3">curry</a> <span class="p2">(<span class="default"><a href="ens_1.html#K26" target="_self">hom??</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="oppcat_1.html#D4">OPPCAT_1:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="funct_5.html#K3">curry</a> <span class="p2">(<span class="default"><a href="ens_1.html#K23" target="_self">hom??</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="ens_1.html#E1:94"><i><font color="Green">E65</font></i></a>, <a class="ref" href="ens_1.html#D28" target="_self">Def28</a></i>
<br/>.= 
 <a href="ens_1.html#K20" target="_self">hom?-</a> <font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="ref" href="ens_1.html#T57" target="_self">Th57</a></i>
<br/>.= 
 <a href="ens_1.html#K24" target="_self">hom?-</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="txt" href="ens_1.html#E1:94"><i><font color="Green">E65</font></i></a>, <a class="ref" href="ens_1.html#D26" target="_self">Def26</a></i>
;<br/>


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