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<b>reconsider </b><font color="Maroon" title="c1">G0</font> =  <a href="algstr_0.html#G3" title="ALGSTR_0:aggr.3">multMagma</a>(# <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> ,<a href="binop_2.html#K33" title="BINOP_2:func.33">addreal</a>  #) as   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a> <b>by </b><i><a class="ref" href="group_1.html#T7" target="_self" title="GROUP_1:th.7">Th7</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c1">G0</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">G0</font> is <a href="algstr_0.html#V15" title="ALGSTR_0:attr.15">strict</a> &amp; <font color="Maroon" title="c1">G0</font> is <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a> )</span><br/>

<b>thus </b><a NAME="E2:77_1_1"/>
<font color="Maroon" title="c1">G0</font> is <a href="algstr_0.html#V15" title="ALGSTR_0:attr.15">strict</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">G0</font> is <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a></span><br/>

<b>let </b><font color="Maroon" title="c2">a</font>, <font color="Maroon" title="c3">g</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">G0</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="group_1.html#D16" target="_self" title="GROUP_1:def.16">GROUP_1:def 16</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">a</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Maroon" title="c3">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">g</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Maroon" title="c2">a</font></span><br/>

<b>reconsider </b><font color="Maroon" title="c4">A</font> = <font color="Maroon" title="c2">a</font>, <font color="Maroon" title="c5">B</font> = <font color="Maroon" title="c3">g</font> as   <a href="real_1.html#NM1" title="REAL_1:NM.1">Real</a> ;<br/>
<b>thus </b><font color="Maroon" title="c2">a</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Maroon" title="c3">g</font> = 
<font color="Maroon" title="c5">B</font> <a href="binop_2.html#K9" title="BINOP_2:func.9">+</a> <font color="Maroon" title="c4">A</font>
<b>by </b><i><a class="ref" href="binop_2.html#D9" title="BINOP_2:def.9">BINOP_2:def 9</a></i>
<br/>.= 
<font color="Maroon" title="c3">g</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Maroon" title="c2">a</font>
<b>by </b><i><a class="ref" href="binop_2.html#D9" title="BINOP_2:def.9">BINOP_2:def 9</a></i>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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