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<b>let </b><font color="Maroon">R</font> be  non <a href="struct_0.html#V3">empty</a> <a href="group_1.html#V2">unital</a>  <a href="group_1.html#L1">HGrStr</a> ;<br/><b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font>;<br/>



<a NAME="E1:18"/>
<span class="p1">(<span class="default"><a href="group_1.html#K5">power</a> <font color="Maroon">R</font></span>)</span> <a href="binop_1.html#K2">.</a> <font color="Maroon">a</font>,0 <a href="hidden.html#R1">=</a>  <a href="group_1.html#K2">1.</a> <font color="Maroon">R</font>
 
<b>by </b><i><a class="ref" href="group_1.html#D8">GROUP_1:def 8</a></i>;<br/>
<b>hence </b><a NAME="E2:18"/>
<font color="Maroon">a</font> <a href="binom.html#K2" target="_self">|^</a> 0 <a href="hidden.html#R1">=</a>  <a href="group_1.html#K2">1.</a> <font color="Maroon">R</font>
 ;<br/>

<a NAME="E3:18"/>
0 <a href="nat_1.html#K1">+</a> 1 <a href="hidden.html#R1">=</a> 1
 
;<br/>
<b>then </b><span class="p1">(<span class="default"><a href="group_1.html#K5">power</a> <font color="Maroon">R</font></span>)</span> <a href="binop_1.html#K2">.</a> <font color="Maroon">a</font>,1 = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="group_1.html#K5">power</a> <font color="Maroon">R</font></span>)</span> <a href="binop_1.html#K2">.</a> <font color="Maroon">a</font>,0</span>)</span> <a href="group_1.html#K1">*</a> <font color="Maroon">a</font>
<b>by </b><i><a class="ref" href="group_1.html#D8">GROUP_1:def 8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="group_1.html#K2">1.</a> <font color="Maroon">R</font></span>)</span> <a href="group_1.html#K1">*</a> <font color="Maroon">a</font>
<b>by </b><i><a class="ref" href="group_1.html#D8">GROUP_1:def 8</a></i>
<br/>.= 
<font color="Maroon">a</font>
<b>by </b><i><a class="ref" href="group_1.html#D5">GROUP_1:def 5</a></i>
;<br/>
<b>hence </b><a NAME="E5:18"/>
<font color="Maroon">a</font> <a href="binom.html#K2" target="_self">|^</a> 1 <a href="hidden.html#R1">=</a> <font color="Maroon">a</font>
 ;<br/>


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