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<b>let </b><font color="Maroon">C</font> be   <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">o</font> be   <a href="cat_1.html#NM1">Object</a> of <font color="Maroon">C</font>;<br/><b>let </b><font color="Maroon">m</font> be   <a href="cat_1.html#NM2">Morphism</a> of <span class="p1">(<span class="default"><font color="Maroon">C</font> <a href="cat_5.html#K14" target="_self">-SliceCat</a> <font color="Maroon">o</font></span>)</span>;<br/>





<b>consider </b><font color="Maroon">a</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="cat_5.html#K12" target="_self">Hom</a> <font color="Maroon">o</font>, <font color="Maroon">b</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="cat_5.html#K12" target="_self">Hom</a> <font color="Maroon">o</font>, <font color="Maroon">f</font> being   <a href="cat_1.html#NM2">Morphism</a> of <font color="Maroon">C</font><b> such that </b><br/><a NAME="E2:55"/><i><font color="Green">E17</font></i>: 
( <font color="Maroon">m</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="cat_2.html#K13">[</a><span class="default"><span class="p2"><a href="cat_2.html#K13">[</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">b</font></span><a href="cat_2.html#K13">]</a></span>,<font color="Maroon">f</font></span><a href="cat_2.html#K13">]</a></span> &amp;  <a href="cat_1.html#K2">dom</a> <font color="Maroon">b</font> <a href="hidden.html#R1">=</a>  <a href="cat_1.html#K3">cod</a> <font color="Maroon">f</font> &amp; <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b</font> <a href="cat_1.html#K4">*</a> <font color="Maroon">f</font> )
 <b>by </b><i/>;<br/>
<a NAME="E3:55"/>
( <font color="Maroon">m</font> <a href="cat_5.html#K17" target="_self">`11</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> &amp; <font color="Maroon">m</font> <a href="cat_5.html#K18" target="_self">`12</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">b</font> &amp; <font color="Maroon">m</font> <a href="cat_5.html#K16" target="_self">`2</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">f</font> )
 
<b>by </b><i>, <a class="ref" href="mcart_1.html#T7">MCART_1:7</a>, <a class="ref" href="mcart_1.html#T89">MCART_1:89</a></i>;<br/>
<b>hence </b><a NAME="E4:55"/>
( <font color="Maroon">m</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="cat_2.html#K13">[</a><span class="default"><span class="p2"><a href="cat_2.html#K13">[</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon">m</font> <a href="cat_5.html#K17" target="_self">`11</a> </span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">m</font> <a href="cat_5.html#K18" target="_self">`12</a> </span>)</span></span><a href="cat_2.html#K13">]</a></span>,<span class="p2">(<span class="default"><font color="Maroon">m</font> <a href="cat_5.html#K16" target="_self">`2</a> </span>)</span></span><a href="cat_2.html#K13">]</a></span> &amp;  <a href="cat_1.html#K2">dom</a> <span class="p1">(<span class="default"><font color="Maroon">m</font> <a href="cat_5.html#K18" target="_self">`12</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="cat_1.html#K3">cod</a> <span class="p1">(<span class="default"><font color="Maroon">m</font> <a href="cat_5.html#K16" target="_self">`2</a> </span>)</span> &amp; <font color="Maroon">m</font> <a href="cat_5.html#K17" target="_self">`11</a>  <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">m</font> <a href="cat_5.html#K18" target="_self">`12</a> </span>)</span> <a href="cat_1.html#K4">*</a> <span class="p1">(<span class="default"><font color="Maroon">m</font> <a href="cat_5.html#K16" target="_self">`2</a> </span>)</span> &amp;  <a href="cat_1.html#K2">dom</a> <font color="Maroon">m</font> <a href="hidden.html#R1">=</a> <font color="Maroon">m</font> <a href="cat_5.html#K17" target="_self">`11</a>  &amp;  <a href="cat_1.html#K3">cod</a> <font color="Maroon">m</font> <a href="hidden.html#R1">=</a> <font color="Maroon">m</font> <a href="cat_5.html#K18" target="_self">`12</a>  )
 <b>by </b><i>, </i>;<br/>


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