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<b>let </b><font color="Maroon" title="c1">R</font> be  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a> <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">add-associative</a> <a href="rlvect_1.html#V5" title="RLVECT_1:attr.5">right_zeroed</a> <a href="vectsp_1.html#V7" title="VECTSP_1:attr.7">distributive</a> <a href="algstr_1.html#V1" title="ALGSTR_1:attr.1">left_zeroed</a> <a href="binom.html#V1" title="BINOM:attr.1">add-cancelable</a>  <a href="vectsp_1.html#L3" title="VECTSP_1:struct.3">doubleLoopStr</a> ;<br/><b>let </b><font color="Maroon" title="c2">a</font>, <font color="Maroon" title="c3">b</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">R</font>;<br/><b>let </b><font color="Maroon" title="c4">n</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/>





<b>thus </b><span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="binom.html#K6" title="BINOM:func.6">*</a> <font color="Maroon" title="c4">n</font></span>)</span> <a href="group_1.html#K1" title="GROUP_1:func.1">*</a> <font color="Maroon" title="c3">b</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">n</font> <a href="binom.html#K5" title="BINOM:func.5">*</a> <font color="Maroon" title="c2">a</font></span>)</span> <a href="group_1.html#K1" title="GROUP_1:func.1">*</a> <font color="Maroon" title="c3">b</font>
<b>by </b><i><a class="ref" href="binom.html#T18" target="_self" title="BINOM:th.18">Th18</a></i>
<br/>.= 
<font color="Maroon" title="c4">n</font> <a href="binom.html#K5" title="BINOM:func.5">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="group_1.html#K1" title="GROUP_1:func.1">*</a> <font color="Maroon" title="c3">b</font></span>)</span>
<b>by </b><i><a class="ref" href="binom.html#T20" target="_self" title="BINOM:th.20">Th20</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="group_1.html#K1" title="GROUP_1:func.1">*</a> <font color="Maroon" title="c3">b</font></span>)</span> <a href="binom.html#K6" title="BINOM:func.6">*</a> <font color="Maroon" title="c4">n</font>
<b>by </b><i><a class="ref" href="binom.html#T18" target="_self" title="BINOM:th.18">Th18</a></i>
<br/>.= 
<font color="Maroon" title="c2">a</font> <a href="group_1.html#K1" title="GROUP_1:func.1">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">n</font> <a href="binom.html#K5" title="BINOM:func.5">*</a> <font color="Maroon" title="c3">b</font></span>)</span>
<b>by </b><i><a class="ref" href="binom.html#T21" target="_self" title="BINOM:th.21">Th21</a></i>
;<br/>


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