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<b>let </b><font color="Maroon">D</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><font color="Maroon">D</font> <a href="monoid_0.html#K11" target="_self">*+^+&lt;0&gt;</a> </span>)</span>, <font color="Maroon">b</font> be   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><font color="Maroon">D</font> <a href="monoid_0.html#K11" target="_self">*+^+&lt;0&gt;</a> </span>)</span>;<br/>



<a NAME="E1:130"/>
 <a href="group_1.html#G1">HGrStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">D</font> <a href="monoid_0.html#K11" target="_self">*+^+&lt;0&gt;</a> </span>)</span>,the <a href="group_1.html#U1">mult</a> of <span class="p1">(<span class="default"><font color="Maroon">D</font> <a href="monoid_0.html#K11" target="_self">*+^+&lt;0&gt;</a> </span>)</span> #) <a href="hidden.html#R1">=</a> <font color="Maroon">D</font> <a href="monoid_0.html#K10" target="_self">*+^</a> 
 
<b>by </b><i/>;<br/>
<b>then reconsider </b><font color="Maroon">p</font> = <font color="Maroon">a</font>, <font color="Maroon">q</font> = <font color="Maroon">b</font> as   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><font color="Maroon">D</font> <a href="monoid_0.html#K10" target="_self">*+^</a> </span>)</span> ;<br/>
<b>thus </b><font color="Maroon">a</font> <a href="monoid_0.html#K2" target="_self">[*]</a> <font color="Maroon">b</font> = 
<font color="Maroon">p</font> <a href="monoid_0.html#K2" target="_self">[*]</a> <font color="Maroon">q</font>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">a</font> <a href="finseq_1.html#K7">^</a> <font color="Maroon">b</font>
<b>by </b><i><a class="txt" href="monoid_0.html#E28"><i><font color="Green">Lemma58</font></i></a></i>
;<br/>


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