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<b>let </b><font color="Maroon" title="c1">U1</font>, <font color="Maroon" title="c2">U2</font>, <font color="Maroon" title="c3">U3</font> be   <a href="unialg_1.html#NM2" title="UNIALG_1:NM.2">Universal_Algebra</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">U1</font>,<font color="Maroon" title="c2">U2</font> <a href="alg_1.html#R5" title="ALG_1:pred.5">are_isomorphic</a>  &amp; <font color="Maroon" title="c2">U2</font>,<font color="Maroon" title="c3">U3</font> <a href="alg_1.html#R5" title="ALG_1:pred.5">are_isomorphic</a>  implies <font color="Maroon" title="c1">U1</font>,<font color="Maroon" title="c3">U3</font> <a href="alg_1.html#R5" title="ALG_1:pred.5">are_isomorphic</a>  )</span><br/>





<b>assume </b><a NAME="E1:18"/><i><font color="Green" title="E17">A1</font></i>: 
<font color="Maroon" title="c1">U1</font>,<font color="Maroon" title="c2">U2</font> <a href="alg_1.html#R5" title="ALG_1:pred.5">are_isomorphic</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  not <font color="Maroon" title="c2">U2</font>,<font color="Maroon" title="c3">U3</font> <a href="alg_1.html#R5" title="ALG_1:pred.5">are_isomorphic</a>  or <font color="Maroon" title="c1">U1</font>,<font color="Maroon" title="c3">U3</font> <a href="alg_1.html#R5" title="ALG_1:pred.5">are_isomorphic</a>  )</span><br/>

<b>assume </b><a NAME="E2:18"/><i><font color="Green" title="E18">A2</font></i>: 
<font color="Maroon" title="c2">U2</font>,<font color="Maroon" title="c3">U3</font> <a href="alg_1.html#R5" title="ALG_1:pred.5">are_isomorphic</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">U1</font>,<font color="Maroon" title="c3">U3</font> <a href="alg_1.html#R5" title="ALG_1:pred.5">are_isomorphic</a> </span><br/>

<b>consider </b><font color="Maroon" title="c4">f</font> being   <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><b> such that </b><br/><a NAME="E4:18"/><i><font color="Green" title="E19">A3</font></i>: 
<font color="Maroon" title="c4">f</font> <a href="alg_1.html#R4" title="ALG_1:pred.4">is_isomorphism</a> <font color="Maroon" title="c1">U1</font>,<font color="Maroon" title="c2">U2</font>
 <b>by </b><i><a class="txt" href="alg_1.html#E1:18"><i><font color="Green" title="E17">A1</font></i></a>, <a class="ref" href="alg_1.html#D5" target="_self" title="ALG_1:def.5">Def5</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c5">g</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Maroon" title="c2">U2</font>,<font color="Maroon" title="c3">U3</font><b> such that </b><br/><a NAME="E6:18"/><i><font color="Green" title="E20">A4</font></i>: 
<font color="Maroon" title="c5">g</font> <a href="alg_1.html#R4" title="ALG_1:pred.4">is_isomorphism</a> <font color="Maroon" title="c2">U2</font>,<font color="Maroon" title="c3">U3</font>
 <b>by </b><i><a class="txt" href="alg_1.html#E2:18"><i><font color="Green" title="E18">A2</font></i></a>, <a class="ref" href="alg_1.html#D5" target="_self" title="ALG_1:def.5">Def5</a></i>;<br/>
<a NAME="E7:18"/>
<font color="Maroon" title="c5">g</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Maroon" title="c4">f</font> <a href="alg_1.html#R4" title="ALG_1:pred.4">is_isomorphism</a> <font color="Maroon" title="c1">U1</font>,<font color="Maroon" title="c3">U3</font>
 
<b>by </b><i><a class="txt" href="alg_1.html#E4:18"><i><font color="Green" title="E19">A3</font></i></a>, <a class="txt" href="alg_1.html#E6:18"><i><font color="Green" title="E20">A4</font></i></a>, <a class="ref" href="alg_1.html#T12" target="_self" title="ALG_1:th.12">Th12</a></i>;<br/>
<b>hence </b><a NAME="E8:18"/>
<font color="Maroon" title="c1">U1</font>,<font color="Maroon" title="c3">U3</font> <a href="alg_1.html#R5" title="ALG_1:pred.5">are_isomorphic</a> 
 <b>by </b><i><a class="ref" href="alg_1.html#D5" target="_self" title="ALG_1:def.5">Def5</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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