<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon" title="c1">U1</font>, <font color="Maroon" title="c2">U2</font> be   <a href="unialg_1.html#NM2" title="UNIALG_1:NM.2">Universal_Algebra</a>;<br/><b>let </b><font color="Maroon" title="c3">h</font> be   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Maroon" title="c1">U1</font>,<font color="Maroon" title="c2">U2</font>;<br/>





<b>assume </b><a NAME="E1:31"/><i><font color="Green" title="E25">A1</font></i>: 
<font color="Maroon" title="c1">U1</font>,<font color="Maroon" title="c2">U2</font> <a href="unialg_2.html#R1" title="UNIALG_2:pred.1">are_similar</a> 
 ;<br/>

<b>assume </b><a NAME="E2:31"/><i><font color="Green" title="E26">A2</font></i>: 
 <a href="msuhom_1.html#K3" title="MSUHOM_1:func.3">MSAlg</a> <font color="Maroon" title="c3">h</font> <a href="msualg_3.html#R4" title="MSUALG_3:pred.4">is_isomorphism</a>  <a href="msualg_1.html#K10" title="MSUALG_1:func.10">MSAlg</a> <font color="Maroon" title="c1">U1</font>,<span class="p1">(<span class="default"><a href="msualg_1.html#K10" title="MSUALG_1:func.10">MSAlg</a> <font color="Maroon" title="c2">U2</font></span>)</span> <a href="msuhom_1.html#K2" title="MSUHOM_1:func.2">Over</a> <span class="p1">(<span class="default"><a href="msualg_1.html#K7" title="MSUALG_1:func.7">MSSign</a> <font color="Maroon" title="c1">U1</font></span>)</span>
 ;<br/>

<a NAME="E3:31"/><b>then </b><i><font color="Green" title="E27">A3</font></i>: 
 <a href="msuhom_1.html#K3" title="MSUHOM_1:func.3">MSAlg</a> <font color="Maroon" title="c3">h</font> <a href="msualg_3.html#R3" title="MSUALG_3:pred.3">is_monomorphism</a>  <a href="msualg_1.html#K10" title="MSUALG_1:func.10">MSAlg</a> <font color="Maroon" title="c1">U1</font>,<span class="p1">(<span class="default"><a href="msualg_1.html#K10" title="MSUALG_1:func.10">MSAlg</a> <font color="Maroon" title="c2">U2</font></span>)</span> <a href="msuhom_1.html#K2" title="MSUHOM_1:func.2">Over</a> <span class="p1">(<span class="default"><a href="msualg_1.html#K7" title="MSUALG_1:func.7">MSSign</a> <font color="Maroon" title="c1">U1</font></span>)</span>
 
<b>by </b><i><a class="ref" href="msualg_3.html#D12" title="MSUALG_3:def.12">MSUALG_3:def 12</a></i>;<br/>
<a NAME="E4:31"/><i><font color="Green" title="E28">A4</font></i>: 
 <a href="msuhom_1.html#K3" title="MSUHOM_1:func.3">MSAlg</a> <font color="Maroon" title="c3">h</font> <a href="msualg_3.html#R2" title="MSUALG_3:pred.2">is_epimorphism</a>  <a href="msualg_1.html#K10" title="MSUALG_1:func.10">MSAlg</a> <font color="Maroon" title="c1">U1</font>,<span class="p1">(<span class="default"><a href="msualg_1.html#K10" title="MSUALG_1:func.10">MSAlg</a> <font color="Maroon" title="c2">U2</font></span>)</span> <a href="msuhom_1.html#K2" title="MSUHOM_1:func.2">Over</a> <span class="p1">(<span class="default"><a href="msualg_1.html#K7" title="MSUALG_1:func.7">MSSign</a> <font color="Maroon" title="c1">U1</font></span>)</span>
 
<b>by </b><i><a class="txt" href="msuhom_1.html#E2:31"><i><font color="Green" title="E26">A2</font></i></a>, <a class="ref" href="msualg_3.html#D12" title="MSUALG_3:def.12">MSUALG_3:def 12</a></i>;<br/>
<b>thus </b><a NAME="E5:31"/>
<font color="Maroon" title="c3">h</font> <a href="alg_1.html#R2" title="ALG_1:pred.2">is_monomorphism</a> <font color="Maroon" title="c1">U1</font>,<font color="Maroon" title="c2">U2</font>
 <b>by </b><i><a class="txt" href="msuhom_1.html#E1:31"><i><font color="Green" title="E25">A1</font></i></a>, <a class="txt" href="msuhom_1.html#E3:31"><i><font color="Green" title="E27">A3</font></i></a>, <a class="ref" href="msuhom_1.html#T23" target="_self" title="MSUHOM_1:th.23">Th23</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="alg_1.html#D4" title="ALG_1:def.4">ALG_1:def 4</a><br/>

<b>thus </b><a NAME="E6:31"/>
<font color="Maroon" title="c3">h</font> <a href="alg_1.html#R3" title="ALG_1:pred.3">is_epimorphism</a> <font color="Maroon" title="c1">U1</font>,<font color="Maroon" title="c2">U2</font>
 <b>by </b><i><a class="txt" href="msuhom_1.html#E1:31"><i><font color="Green" title="E25">A1</font></i></a>, <a class="txt" href="msuhom_1.html#E4:31"><i><font color="Green" title="E28">A4</font></i></a>, <a class="ref" href="msuhom_1.html#T22" target="_self" title="MSUHOM_1:th.22">Th22</a></i>;<br/>


</div>
