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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> non <a href="msualg_1.html#V2">void</a>  <a href="msualg_1.html#L1">ManySortedSign</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be  <a href="msualg_1.html#V5">non-empty</a>  <a href="msualg_1.html#L3">MSAlgebra</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be   <a href="msualg_3.html#NM1">ManySortedFunction</a> of <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>;<br/>





<b>assume </b><a NAME="E1:38"/>
<font color="Maroon">c<sub>4</sub></font> <a href="msualg_3.html#R2">is_epimorphism</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 ;<br/>

<a NAME="E2:38"/><b>then </b>
 <a href="msualg_4.html#K20" target="_self">MSHomQuot</a> <font color="Maroon">c<sub>4</sub></font> <a href="msualg_3.html#R4">is_isomorphism</a>  <a href="msualg_4.html#K14" target="_self">QuotMSAlg</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p1">(<span class="default"><a href="msualg_4.html#K18" target="_self">MSCng</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="ref" href="msualg_4.html#T5" target="_self">Th5</a></i>;<br/>
<b>hence </b><a NAME="E3:38"/>
 <a href="msualg_4.html#K14" target="_self">QuotMSAlg</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p1">(<span class="default"><a href="msualg_4.html#K18" target="_self">MSCng</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<font color="Maroon">c<sub>3</sub></font> <a href="msualg_3.html#R6">are_isomorphic</a> 
 <b>by </b><i><a class="ref" href="msualg_3.html#D13">MSUALG_3:def 13</a></i>;<br/>


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