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<b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <a href="algstr_1.html#K6" target="_self">multEX_0</a> , <font color="Maroon">b</font> be   <a href="struct_0.html#NM1">Element</a> of <a href="algstr_1.html#K6" target="_self">multEX_0</a> , <font color="Maroon">c</font> be   <a href="struct_0.html#NM1">Element</a> of <a href="algstr_1.html#K6" target="_self">multEX_0</a> ;<br/>

<b>reconsider </b><font color="Maroon">p</font> = <font color="Maroon">a</font>, <font color="Maroon">q</font> = <font color="Maroon">b</font>, <font color="Maroon">r</font> = <font color="Maroon">c</font> as   <a href="real_1.html#NM1">Real</a> ;<br/>
<a NAME="E2:64"/><i><font color="Green">E24</font></i>: 
<font color="Maroon">a</font> <a href="group_1.html#K1">*</a> <font color="Maroon">b</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p</font> <a href="binop_2.html#K11">*</a> <font color="Maroon">q</font>
 
<b>by </b><i><a class="ref" href="algstr_1.html#D5" target="_self">Def5</a></i>;<br/>
<a NAME="E3:64"/><i><font color="Green">E25</font></i>: 
<font color="Maroon">b</font> <a href="group_1.html#K1">*</a> <font color="Maroon">c</font> <a href="hidden.html#R1">=</a> <font color="Maroon">q</font> <a href="binop_2.html#K11">*</a> <font color="Maroon">r</font>
 
<b>by </b><i><a class="ref" href="algstr_1.html#D5" target="_self">Def5</a></i>;<br/>
<b>thus </b><span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="group_1.html#K1">*</a> <font color="Maroon">b</font></span>)</span> <a href="group_1.html#K1">*</a> <font color="Maroon">c</font> = 
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="binop_2.html#K11">*</a> <font color="Maroon">q</font></span>)</span> <a href="binop_2.html#K11">*</a> <font color="Maroon">r</font>
<b>by </b><i><a class="txt" href="algstr_1.html#E39"><i><font color="Green">Lemma54</font></i></a>, <a class="ref" href="algstr_1.html#D5" target="_self">Def5</a></i>
<br/>.= 
<font color="Maroon">p</font> <a href="binop_2.html#K11">*</a> <span class="p1">(<span class="default"><font color="Maroon">q</font> <a href="binop_2.html#K11">*</a> <font color="Maroon">r</font></span>)</span>

<br/>.= 
<font color="Maroon">a</font> <a href="group_1.html#K1">*</a> <span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="group_1.html#K1">*</a> <font color="Maroon">c</font></span>)</span>
<b>by </b><i><a class="txt" href="algstr_1.html#E40"><i><font color="Green">Lemma55</font></i></a>, <a class="ref" href="algstr_1.html#D5" target="_self">Def5</a></i>
;<br/>


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