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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#V4" target="_self">associative</a>  <a href="group_1.html#L1" target="_self">HGrStr</a> ;<br/><b>let </b><font color="Maroon">h</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font>, <font color="Maroon">g</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font>, <font color="Maroon">f</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="binop_1.html#D14">BINOP_1:def 14</a><br/>



<b>set </b><font color="Maroon">o</font> = the <a href="group_1.html#U1" target="_self">mult</a> of <font color="Maroon">G</font>;<br/>
<b>thus </b>the <a href="group_1.html#U1" target="_self">mult</a> of <font color="Maroon">G</font> <a href="binop_1.html#K2">.</a> <font color="Maroon">h</font>,<span class="p1">(<span class="default">the <a href="group_1.html#U1" target="_self">mult</a> of <font color="Maroon">G</font> <a href="binop_1.html#K2">.</a> <font color="Maroon">g</font>,<font color="Maroon">f</font></span>)</span> = 
<font color="Maroon">h</font> <a href="group_1.html#K1" target="_self">*</a> <span class="p1">(<span class="default"><font color="Maroon">g</font> <a href="group_1.html#K1" target="_self">*</a> <font color="Maroon">f</font></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">h</font> <a href="group_1.html#K1" target="_self">*</a> <font color="Maroon">g</font></span>)</span> <a href="group_1.html#K1" target="_self">*</a> <font color="Maroon">f</font>
<b>by </b><i/>
<br/>.= 
the <a href="group_1.html#U1" target="_self">mult</a> of <font color="Maroon">G</font> <a href="binop_1.html#K2">.</a> <span class="p1">(<span class="default">the <a href="group_1.html#U1" target="_self">mult</a> of <font color="Maroon">G</font> <a href="binop_1.html#K2">.</a> <font color="Maroon">h</font>,<font color="Maroon">g</font></span>)</span>,<font color="Maroon">f</font>

;<br/>


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