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<b>let </b><font color="Maroon">G</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="group_1.html#L1">HGrStr</a> ;<br/><b>let </b><font color="Maroon">A</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">g</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">h</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font>;<br/>







<b>assume </b><a NAME="E1:31"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">G</font> is <a href="group_1.html#V4">associative</a>
 ;<br/>

<b>thus </b><span class="p1">(<span class="default"><font color="Maroon">A</font> <a href="group_2.html#K4" target="_self">*</a> <font color="Maroon">g</font></span>)</span> <a href="group_2.html#K4" target="_self">*</a> <font color="Maroon">h</font> = 
<font color="Maroon">A</font> <a href="group_2.html#K2" target="_self">*</a> <span class="p1">(<span class="default"><span class="p2"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">g</font></span><a href="domain_1.html#K6">}</a></span> <a href="group_2.html#K2" target="_self">*</a> <span class="p2"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">h</font></span><a href="domain_1.html#K6">}</a></span></span>)</span>
<b>by </b><i>, </i>
<br/>.= 
<font color="Maroon">A</font> <a href="group_2.html#K4" target="_self">*</a> <span class="p1">(<span class="default"><font color="Maroon">g</font> <a href="group_1.html#K1">*</a> <font color="Maroon">h</font></span>)</span>
<b>by </b><i/>
;<br/>


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