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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">x</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">y</font> be   <a href="struct_0.html#NM1">Element</a> of <a href="algstr_1.html#K6" target="_self">multEX_0</a> ;<br/>

<b>assume </b><a NAME="E1:53"/><i><font color="Green">E24</font></i>: 
<font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <a href="algstr_1.html#K6" target="_self">multEX_0</a> 
 ;<br/>

<b>assume </b><a NAME="E2:53"/><i><font color="Green">E25</font></i>: 
<font color="Maroon">a</font> <a href="group_1.html#K1">*</a> <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="group_1.html#K1">*</a> <font color="Maroon">y</font>
 ;<br/>

<b>reconsider </b><font color="Maroon">aa</font> = <font color="Maroon">a</font>, <font color="Maroon">p</font> = <font color="Maroon">x</font>, <font color="Maroon">q</font> = <font color="Maroon">y</font> as   <a href="real_1.html#NM1">Real</a> ;<br/>
<font color="Maroon">aa</font> <a href="binop_2.html#K11">*</a> <font color="Maroon">p</font> = 
<font color="Maroon">a</font> <a href="group_1.html#K1">*</a> <font color="Maroon">y</font>
<b>by </b><i>, <a class="ref" href="algstr_1.html#D5" target="_self">Def5</a></i>
<br/>.= 
<font color="Maroon">aa</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/>
<b>hence </b><a NAME="E5:53"/>
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">y</font>
 <b>by </b><i>, <a class="ref" href="xcmplx_1.html#T5">XCMPLX_1:5</a></i>;<br/>


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