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<b>let </b><font color="Maroon">C</font> be   <a href="altcat_1.html#NM4">category</a>;<br/><b>let </b><font color="Maroon">o1</font> be   <a href="altcat_1.html#NM1">object</a> of <span class="p1">(<span class="default"><a href="altcat_4.html#K2" target="_self">AllEpi</a> <font color="Maroon">C</font></span>)</span>, <font color="Maroon">o2</font> be   <a href="altcat_1.html#NM1">object</a> of <span class="p1">(<span class="default"><a href="altcat_4.html#K2" target="_self">AllEpi</a> <font color="Maroon">C</font></span>)</span>;<br/><b>let </b><font color="Maroon">m</font> be   <a href="altcat_1.html#NM2">Morphism</a> of <font color="Maroon">o1</font>,<font color="Maroon">o2</font>;<br/>





<b>assume </b><a NAME="E1:66"/><i><font color="Green">E24</font></i>: 
<span class="p1"><a href="altcat_1.html#K1">&lt;^</a><span class="default"><font color="Maroon">o1</font>,<font color="Maroon">o2</font></span><a href="altcat_1.html#K1">^&gt;</a></span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 ;<br/>

<b>reconsider </b><font color="Maroon">p1</font> = <font color="Maroon">o1</font>, <font color="Maroon">p2</font> = <font color="Maroon">o2</font> as   <a href="altcat_1.html#NM1">object</a> of <font color="Maroon">C</font> <b>by </b><i><a class="ref" href="altcat_4.html#T4" target="_self">Th4</a></i>;<br/>
<b>reconsider </b><font color="Maroon">p</font> = <font color="Maroon">m</font> as   <a href="altcat_1.html#NM2">Morphism</a> of <font color="Maroon">p1</font>,<font color="Maroon">p2</font> <b>by </b><i>, <a class="ref" href="altcat_2.html#T34">ALTCAT_2:34</a></i>;<br/>
<a NAME="E4:66"/>
<font color="Maroon">m</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="altcat_1.html#K1">&lt;^</a><span class="default"><font color="Maroon">o1</font>,<font color="Maroon">o2</font></span><a href="altcat_1.html#K1">^&gt;</a></span>
 
<b>by </b><i/>;<br/>
<a NAME="E5:66"/><b>then </b>
<font color="Maroon">p</font> <a href="hidden.html#R2">in</a> the <a href="altcat_1.html#U1">Arrows</a> of <span class="p1">(<span class="default"><a href="altcat_4.html#K2" target="_self">AllEpi</a> <font color="Maroon">C</font></span>)</span> <a href="binop_1.html#K1">.</a> <font color="Maroon">o1</font>,<font color="Maroon">o2</font>
 
;<br/>
<a NAME="E6:66"/><b>then </b>
( <span class="p1"><a href="altcat_1.html#K1">&lt;^</a><span class="default"><font color="Maroon">p1</font>,<font color="Maroon">p2</font></span><a href="altcat_1.html#K1">^&gt;</a></span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">p</font> is <a href="altcat_3.html#V5">epi</a> )
 
<b>by </b><i><a class="ref" href="altcat_4.html#T4" target="_self">Th4</a></i>;<br/>
<b>hence </b><a NAME="E7:66"/>
<font color="Maroon">m</font> is <a href="altcat_3.html#V5">epi</a>
 <b>by </b><i>, </i>;<br/>


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