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<b>set </b><font color="Maroon" title="c1">M</font> =  <a href="algstr_0.html#K8" title="ALGSTR_0:func.8">Trivial-multLoopStr</a> ;<br/>
<b>thus </b><a NAME="E1:72_1_1"/>
 <a href="algstr_0.html#K8" title="ALGSTR_0:func.8">Trivial-multLoopStr</a>  is <a href="algstr_0.html#V27" title="ALGSTR_0:attr.27">right_invertible</a>
  <i><font color="Red">:: according to </font></i><a class="ref" href="algstr_0.html#D33" target="_self" title="ALGSTR_0:def.33">ALGSTR_0:def 33</a><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="72_1_1_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon" title="c2">x</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="algstr_0.html#K8" title="ALGSTR_0:func.8">Trivial-multLoopStr</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="algstr_0.html#D32" target="_self" title="ALGSTR_0:def.32">ALGSTR_0:def 32</a><br/>

<b>take </b>
<font color="Maroon" title="c2">x</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="algstr_0.html#D28" target="_self" title="ALGSTR_0:def.28">ALGSTR_0:def 28</a><br/>

<b>thus </b><a NAME="E1:72_1_1_1"/>
<font color="Maroon" title="c2">x</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Maroon" title="c2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <a href="algstr_0.html#K8" title="ALGSTR_0:func.8">Trivial-multLoopStr</a> 
 <b>by </b><i><a class="ref" href="struct_0.html#D10" title="STRUCT_0:def.10">STRUCT_0:def 10</a></i>;<br/>


</div><b>end;</b></div>

<b>let </b><font color="Maroon" title="c2">x</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="algstr_0.html#K8" title="ALGSTR_0:func.8">Trivial-multLoopStr</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="algstr_0.html#D31" target="_self" title="ALGSTR_0:def.31">ALGSTR_0:def 31</a><br/>

<b>take </b>
<font color="Maroon" title="c2">x</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="algstr_0.html#D27" target="_self" title="ALGSTR_0:def.27">ALGSTR_0:def 27</a><br/>

<b>thus </b><a NAME="E2:72_1_1"/>
<font color="Maroon" title="c2">x</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Maroon" title="c2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <a href="algstr_0.html#K8" title="ALGSTR_0:func.8">Trivial-multLoopStr</a> 
 <b>by </b><i><a class="ref" href="struct_0.html#D10" title="STRUCT_0:def.10">STRUCT_0:def 10</a></i>;<br/>


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