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<b>let </b><font color="Maroon" title="c3">IT</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font>;<br/>

<b>consider </b><font color="Maroon" title="c4">x1</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font><b> such that </b><br/><a NAME="E2:70_1_1"/><i><font color="Green" title="E50">A2</font></i>: 
<font color="Maroon" title="c4">x1</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> <font color="Maroon" title="c1">L</font>
 <b>by </b><i><a class="txt" href="algstr_1.html#E1:70"><i><font color="Green" title="E49">A1</font></i></a>, <a class="ref" href="algstr_1.html#D24" target="_self" title="ALGSTR_1:def.24">Def24</a></i>;<br/>
<a NAME="E3:70_1_1"/><i><font color="Green" title="E51">A3</font></i>: 
<font color="Maroon" title="c2">x</font> is <a href="algstr_0.html#V23" title="ALGSTR_0:attr.23">left_invertible</a>
 
<b>by </b><i><a class="txt" href="algstr_1.html#E2:70_1_1"><i><font color="Green" title="E50">A2</font></i></a>, <a class="ref" href="algstr_0.html#D27" title="ALGSTR_0:def.27">ALGSTR_0:def 27</a></i>;<br/>
<a NAME="E4:70_1_1"/>
<font color="Maroon" title="c2">x</font> is <a href="algstr_0.html#V17" title="ALGSTR_0:attr.17">right_mult-cancelable</a>
 
<b>by </b><i><a class="txt" href="algstr_1.html#E1:70"><i><font color="Green" title="E49">A1</font></i></a>, <a class="ref" href="algstr_0.html#D37" title="ALGSTR_0:def.37">ALGSTR_0:def 37</a></i>;<br/>
<b>hence </b><a NAME="E5:70_1_1"/>
( <font color="Maroon" title="c3">IT</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">x</font> <a href="algstr_0.html#K11" title="ALGSTR_0:func.11">"</a>  iff <font color="Maroon" title="c3">IT</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> <font color="Maroon" title="c1">L</font> )
 <b>by </b><i><a class="txt" href="algstr_1.html#E3:70_1_1"><i><font color="Green" title="E51">A3</font></i></a>, <a class="ref" href="algstr_0.html#D35" title="ALGSTR_0:def.35">ALGSTR_0:def 35</a></i>;<br/>


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