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<div class="add">

<b>set </b><font color="Maroon" title="c1">M</font> =  <a href="algstr_0.html#K10" title="ALGSTR_0:func.10">Trivial-multLoopStr_0</a> ;<br/>
<b>thus </b><a NAME="E1:92_1_1"/>
 <a href="algstr_0.html#K10" title="ALGSTR_0:func.10">Trivial-multLoopStr_0</a>  is <a href="algstr_0.html#V34" title="ALGSTR_0:attr.34">almost_right_invertible</a>
  <i><font color="Red">:: according to </font></i><a class="ref" href="algstr_0.html#D41" target="_self" title="ALGSTR_0:def.41">ALGSTR_0:def 41</a><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="92_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#K10" title="ALGSTR_0:func.10">Trivial-multLoopStr_0</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="algstr_0.html#D40" target="_self" title="ALGSTR_0:def.40">ALGSTR_0:def 40</a><br/>

<b>assume </b><a NAME="E1:92_1_1_1"/>
<font color="Maroon" title="c2">x</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <a href="algstr_0.html#K10" title="ALGSTR_0:func.10">Trivial-multLoopStr_0</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="E2:92_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#K10" title="ALGSTR_0:func.10">Trivial-multLoopStr_0</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#K10" title="ALGSTR_0:func.10">Trivial-multLoopStr_0</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="algstr_0.html#D39" target="_self" title="ALGSTR_0:def.39">ALGSTR_0:def 39</a><br/>

<b>assume </b><a NAME="E2:92_1_1"/>
<font color="Maroon" title="c2">x</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <a href="algstr_0.html#K10" title="ALGSTR_0:func.10">Trivial-multLoopStr_0</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="E3:92_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#K10" title="ALGSTR_0:func.10">Trivial-multLoopStr_0</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>
