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<b>let </b><font color="Maroon" title="c1">X</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c2">G</font> be  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a>  <a href="group_1.html#L1" title="GROUP_1:struct.1">HGrStr</a> ;<br/><b>let </b><font color="Maroon" title="c3">a</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="monoid_1.html#K9" title="MONOID_1:func.9">.:</a> <font color="Maroon" title="c2">G</font>,<font color="Maroon" title="c1">X</font></span>)</span>; <i><font color="Red">:: according to </font></i><a class="ref" href="monoid_0.html#D1" title="MONOID_0:def.1">MONOID_0:def 1</a><br/>





<a NAME="E1:32"/>
<font color="Maroon" title="c3">a</font> is    <a href="fraenkel.html#M2" title="FRAENKEL:mode.2">Element</a> of  <a href="fraenkel.html#K1" title="FRAENKEL:func.1">Funcs</a> <font color="Maroon" title="c1">X</font>,<font color="Maroon">H<sub>3</sub></font>(<font color="Maroon" title="c2">G</font>)
 
<b>by </b><i><a class="ref" href="monoid_1.html#T18" target="_self" title="MONOID_1:th.18">Th18</a></i>;<br/>
<b>hence </b><a NAME="E2:32"/>
<font color="Maroon" title="c3">a</font> is    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> 
 ;<br/>


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