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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="struct_0.html#V3">empty</a>  <a href="altcat_1.html#L1">AltGraph</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be  non <a href="struct_0.html#V3">empty</a> <a href="altcat_2.html#V1">reflexive</a>  <a href="altcat_1.html#L1">AltGraph</a> ;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be  <a href="functor0.html#V8">feasible</a>  <a href="functor0.html#L2">FunctorStr</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>5</sub></font> be    <a href="functor0.html#L2">FunctorStr</a> of <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>;<br/>







<b>assume </b><a NAME="E1:15"/><i><font color="Green">E10</font></i>: 
( <font color="Maroon">c<sub>4</sub></font> is <a href="functor0.html#V20">surjective</a> &amp; <font color="Maroon">c<sub>5</sub></font> is <a href="functor0.html#V20">surjective</a> )
 ;<br/>

<a NAME="E2:15"/><b>then </b><i><font color="Green">E11</font></i>: 
( <font color="Maroon">c<sub>4</sub></font> is <a href="functor0.html#V18">full</a> &amp; <font color="Maroon">c<sub>5</sub></font> is <a href="functor0.html#V18">full</a> )
 
<b>by </b><i><a class="ref" href="functor0.html#D35">FUNCTOR0:def 35</a></i>;<br/>
<a NAME="E3:15"/><i><font color="Green">E12</font></i>: 
( <font color="Maroon">c<sub>4</sub></font> is <a href="functor0.html#V5">onto</a> &amp; <font color="Maroon">c<sub>5</sub></font> is <a href="functor0.html#V5">onto</a> )
 
<b>by </b><i><a class="txt" href="functor1.html#E1:15"><i><font color="Green">E10</font></i></a>, <a class="ref" href="functor0.html#D35">FUNCTOR0:def 35</a></i>;<br/>
<a NAME="E4:15"/><i><font color="Green">E13</font></i>: 
<font color="Maroon">c<sub>5</sub></font> <a href="functor0.html#K13">*</a> <font color="Maroon">c<sub>4</sub></font> is <a href="functor0.html#V18">full</a>
 
<b>by </b><i><a class="txt" href="functor1.html#E2:15"><i><font color="Green">E11</font></i></a>, <a class="ref" href="functor1.html#T10" target="_self">Th10</a></i>;<br/>
<a NAME="E5:15"/>
<font color="Maroon">c<sub>5</sub></font> <a href="functor0.html#K13">*</a> <font color="Maroon">c<sub>4</sub></font> is <a href="functor0.html#V5">onto</a>
 
<b>by </b><i><a class="txt" href="functor1.html#E3:15"><i><font color="Green">E12</font></i></a>, <a class="ref" href="functor1.html#T9" target="_self">Th9</a></i>;<br/>
<b>hence </b><a NAME="E6:15"/>
<font color="Maroon">c<sub>5</sub></font> <a href="functor0.html#K13">*</a> <font color="Maroon">c<sub>4</sub></font> is <a href="functor0.html#V20">surjective</a>
 <b>by </b><i><a class="txt" href="functor1.html#E4:15"><i><font color="Green">E13</font></i></a>, <a class="ref" href="functor0.html#D35">FUNCTOR0:def 35</a></i>;<br/>


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