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<b>let </b><font color="Maroon">G</font> be   <a href="group_1.html#NM1">Group</a>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">N</font> be  <a href="group_3.html#V1">normal</a>  <a href="group_2.html#M1">Subgroup</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">S</font> be   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="group_6.html#K6" target="_self">./.</a> <font color="Maroon">N</font></span>)</span>;<br/>







<b>assume </b><a NAME="E1:32"/><i><font color="Green">E45</font></i>: 
<font color="Maroon">S</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="group_2.html#K12">*</a> <font color="Maroon">N</font>
 ;<br/>

<b>reconsider </b><font color="Maroon">g</font> = <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="group_1.html#K3">"</a> </span>)</span> <a href="group_2.html#K12">*</a> <font color="Maroon">N</font> as   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="group_6.html#K6" target="_self">./.</a> <font color="Maroon">N</font></span>)</span> <b>by </b><i/>;<br/>
<i><font color="Green">E46</font></i>: <font color="Maroon">S</font> <a href="group_1.html#K1">*</a> <font color="Maroon">g</font> = 
<span class="p1">(<span class="default"><a href="group_6.html#K7" target="_self">@</a> <font color="Maroon">S</font></span>)</span> <a href="group_2.html#K2">*</a> <span class="p1">(<span class="default"><a href="group_6.html#K7" target="_self">@</a> <font color="Maroon">g</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">N</font> <a href="group_2.html#K13">*</a> <font color="Maroon">a</font></span>)</span> <a href="group_2.html#K2">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="group_1.html#K3">"</a> </span>)</span> <a href="group_2.html#K12">*</a> <font color="Maroon">N</font></span>)</span>
<b>by </b><i>, <a class="ref" href="group_3.html#T140">GROUP_3:140</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">N</font> <a href="group_2.html#K13">*</a> <font color="Maroon">a</font></span>)</span> <a href="group_2.html#K4">*</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="group_1.html#K3">"</a> </span>)</span></span>)</span> <a href="group_2.html#K10">*</a> <font color="Maroon">N</font>
<b>by </b><i><a class="ref" href="group_3.html#T10">GROUP_3:10</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">N</font> <a href="group_2.html#K13">*</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="group_1.html#K1">*</a> <span class="p3">(<span class="default"><font color="Maroon">a</font> <a href="group_1.html#K3">"</a> </span>)</span></span>)</span></span>)</span> <a href="group_2.html#K10">*</a> <font color="Maroon">N</font>
<b>by </b><i><a class="ref" href="group_2.html#T129">GROUP_2:129</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">N</font> <a href="group_2.html#K13">*</a> <span class="p2">(<span class="default"><a href="group_1.html#K2">1.</a> <font color="Maroon">G</font></span>)</span></span>)</span> <a href="group_2.html#K10">*</a> <font color="Maroon">N</font>
<b>by </b><i><a class="ref" href="group_1.html#D6">GROUP_1:def 6</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="group_2.html#K7">carr</a> <font color="Maroon">N</font></span>)</span> <a href="group_2.html#K2">*</a> <span class="p1">(<span class="default"><a href="group_2.html#K7">carr</a> <font color="Maroon">N</font></span>)</span>
<b>by </b><i><a class="ref" href="group_2.html#T132">GROUP_2:132</a></i>
<br/>.= 
 <a href="group_2.html#K7">carr</a> <font color="Maroon">N</font>
<b>by </b><i><a class="ref" href="group_2.html#T91">GROUP_2:91</a></i>
;<br/>
<i><font color="Green">E51</font></i>: <font color="Maroon">g</font> <a href="group_1.html#K1">*</a> <font color="Maroon">S</font> = 
<span class="p1">(<span class="default"><a href="group_6.html#K7" target="_self">@</a> <font color="Maroon">g</font></span>)</span> <a href="group_2.html#K2">*</a> <span class="p1">(<span class="default"><a href="group_6.html#K7" target="_self">@</a> <font color="Maroon">S</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">a</font> <a href="group_1.html#K3">"</a> </span>)</span> <a href="group_2.html#K12">*</a> <font color="Maroon">N</font></span>)</span> <a href="group_2.html#K4">*</a> <font color="Maroon">a</font></span>)</span> <a href="group_2.html#K10">*</a> <font color="Maroon">N</font>
<b>by </b><i>, <a class="ref" href="group_3.html#T10">GROUP_3:10</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="group_1.html#K3">"</a> </span>)</span> <a href="group_2.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">N</font> <a href="group_2.html#K13">*</a> <font color="Maroon">a</font></span>)</span></span>)</span> <a href="group_2.html#K10">*</a> <font color="Maroon">N</font>
<b>by </b><i><a class="ref" href="group_2.html#T128">GROUP_2:128</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="group_1.html#K3">"</a> </span>)</span> <a href="group_2.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="group_2.html#K12">*</a> <font color="Maroon">N</font></span>)</span></span>)</span> <a href="group_2.html#K10">*</a> <font color="Maroon">N</font>
<b>by </b><i><a class="ref" href="group_3.html#T140">GROUP_3:140</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">a</font> <a href="group_1.html#K3">"</a> </span>)</span> <a href="group_1.html#K1">*</a> <font color="Maroon">a</font></span>)</span> <a href="group_2.html#K12">*</a> <font color="Maroon">N</font></span>)</span> <a href="group_2.html#K10">*</a> <font color="Maroon">N</font>
<b>by </b><i><a class="ref" href="group_2.html#T127">GROUP_2:127</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="group_1.html#K2">1.</a> <font color="Maroon">G</font></span>)</span> <a href="group_2.html#K12">*</a> <font color="Maroon">N</font></span>)</span> <a href="group_2.html#K10">*</a> <font color="Maroon">N</font>
<b>by </b><i><a class="ref" href="group_1.html#D6">GROUP_1:def 6</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="group_1.html#K2">1.</a> <font color="Maroon">G</font></span>)</span> <a href="group_2.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">N</font> <a href="group_4.html#K7">*</a> <font color="Maroon">N</font></span>)</span>
<b>by </b><i><a class="ref" href="group_4.html#T60">GROUP_4:60</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="group_1.html#K2">1.</a> <font color="Maroon">G</font></span>)</span> <a href="group_2.html#K3">*</a> <span class="p1">(<span class="default"><a href="group_2.html#K7">carr</a> <font color="Maroon">N</font></span>)</span>
<b>by </b><i><a class="ref" href="group_4.html#T58">GROUP_4:58</a></i>
<br/>.= 
 <a href="group_2.html#K7">carr</a> <font color="Maroon">N</font>
<b>by </b><i><a class="ref" href="group_2.html#T43">GROUP_2:43</a></i>
;<br/>
<a NAME="E5:32"/>
 <a href="group_1.html#K2">1.</a> <span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="group_6.html#K6" target="_self">./.</a> <font color="Maroon">N</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="group_2.html#K7">carr</a> <font color="Maroon">N</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E6:32"/>
<font color="Maroon">S</font> <a href="group_1.html#K3">"</a>  <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="group_1.html#K3">"</a> </span>)</span> <a href="group_2.html#K12">*</a> <font color="Maroon">N</font>
 <b>by </b><i>, , <a class="ref" href="group_1.html#D6">GROUP_1:def 6</a></i>;<br/>


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