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<b>let </b><font color="Maroon" title="c1">G</font> be  <a href="vectsp_1.html#V2" title="VECTSP_1:attr.2">left-distributive</a> <a href="algstr_2.html#NM1" title="ALGSTR_2:NM.1">doubleLoop</a>;<br/><b>let </b><font color="Maroon" title="c2">x</font>, <font color="Maroon" title="c3">y</font>, <font color="Maroon" title="c4">a</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">G</font>;<br/>







<b>thus </b><span class="p1">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="algstr_2.html#K2" title="ALGSTR_2:func.2">-</a> <font color="Maroon" title="c3">y</font></span>)</span> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Maroon" title="c4">a</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Maroon" title="c4">a</font></span>)</span> <a href="algstr_0.html#K1" title="ALGSTR_0:func.1">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="algstr_2.html#K1" title="ALGSTR_2:func.1">-</a> <font color="Maroon" title="c3">y</font></span>)</span> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Maroon" title="c4">a</font></span>)</span>
<b>by </b><i><a class="ref" href="vectsp_1.html#D12" title="VECTSP_1:def.12">VECTSP_1:def 12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Maroon" title="c4">a</font></span>)</span> <a href="algstr_2.html#K2" title="ALGSTR_2:func.2">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">y</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Maroon" title="c4">a</font></span>)</span>
<b>by </b><i><a class="ref" href="algstr_2.html#T21" target="_self" title="ALGSTR_2:th.21">Th21</a></i>
;<br/>


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