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

<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be   <a href="unialg_1.html#NM2">Universal_Algebra</a>;<br/>





<b>assume </b><a NAME="E1:19"/><i><font color="Green">E17</font></i>: 
<font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="alg_1.html#R5" target="_self">are_isomorphic</a> 
 ;<br/>

<b>assume </b><a NAME="E2:19"/><i><font color="Green">E18</font></i>: 
<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="alg_1.html#R5" target="_self">are_isomorphic</a> 
 ;<br/>

<b>consider </b><font color="Maroon">c<sub>4</sub></font> being   <a href="struct_0.html#NM7">Function</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font><b> such that </b><br/><a NAME="E4:19"/><i><font color="Green">E19</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="alg_1.html#R4" target="_self">is_isomorphism</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="alg_1.html#E1:19"><i><font color="Green">E17</font></i></a>, <a class="ref" href="alg_1.html#D5" target="_self">Def5</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>5</sub></font> being   <a href="struct_0.html#NM7">Function</a> of <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font><b> such that </b><br/><a NAME="E6:19"/><i><font color="Green">E20</font></i>: 
<font color="Maroon">c<sub>5</sub></font> <a href="alg_1.html#R4" target="_self">is_isomorphism</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="alg_1.html#E2:19"><i><font color="Green">E18</font></i></a>, <a class="ref" href="alg_1.html#D5" target="_self">Def5</a></i>;<br/>
<a NAME="E7:19"/>
<font color="Maroon">c<sub>5</sub></font> <a href="partfun1.html#K1">*</a> <font color="Maroon">c<sub>4</sub></font> <a href="alg_1.html#R4" target="_self">is_isomorphism</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="txt" href="alg_1.html#E4:19"><i><font color="Green">E19</font></i></a>, <a class="txt" href="alg_1.html#E6:19"><i><font color="Green">E20</font></i></a>, <a class="ref" href="alg_1.html#T12" target="_self">Th12</a></i>;<br/>
<b>hence </b><a NAME="E8:19"/>
<font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="alg_1.html#R5" target="_self">are_isomorphic</a> 
 <b>by </b><i><a class="ref" href="alg_1.html#D5" target="_self">Def5</a></i>;<br/>


</div>
