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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/>



<a NAME="E1:102"/>
( the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="group_2.html#K6" target="_self">(Omega).</a> <font color="Maroon">G</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="group_2.html#K7" target="_self">carr</a> <span class="p1">(<span class="default"><a href="group_2.html#K6" target="_self">(Omega).</a> <font color="Maroon">G</font></span>)</span> &amp;  <a href="group_2.html#K6" target="_self">(Omega).</a> <font color="Maroon">G</font> <a href="hidden.html#R1">=</a>  <a href="group_1.html#G1">HGrStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">G</font>,the <a href="group_1.html#U1">mult</a> of <font color="Maroon">G</font> #) &amp;  <a href="subset_1.html#K2">[#]</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">G</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">G</font> &amp; <span class="p1">(<span class="default"><a href="subset_1.html#K2">[#]</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">G</font></span>)</span> <a href="group_2.html#K4" target="_self">*</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">G</font> &amp; <font color="Maroon">a</font> <a href="group_2.html#K3" target="_self">*</a> <span class="p1">(<span class="default"><a href="subset_1.html#K2">[#]</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">G</font></span>)</span> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">G</font> &amp; <font color="Maroon">a</font> <a href="group_2.html#K12" target="_self">*</a> <span class="p1">(<span class="default"><a href="group_2.html#K6" target="_self">(Omega).</a> <font color="Maroon">G</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="group_2.html#K3" target="_self">*</a> <span class="p1">(<span class="default"><a href="group_2.html#K7" target="_self">carr</a> <span class="p2">(<span class="default"><a href="group_2.html#K6" target="_self">(Omega).</a> <font color="Maroon">G</font></span>)</span></span>)</span> &amp; <span class="p1">(<span class="default"><a href="group_2.html#K7" target="_self">carr</a> <span class="p2">(<span class="default"><a href="group_2.html#K6" target="_self">(Omega).</a> <font color="Maroon">G</font></span>)</span></span>)</span> <a href="group_2.html#K4" target="_self">*</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="group_2.html#K6" target="_self">(Omega).</a> <font color="Maroon">G</font></span>)</span> <a href="group_2.html#K13" target="_self">*</a> <font color="Maroon">a</font> )
 
<b>by </b><i>, <a class="ref" href="subset_1.html#D4">SUBSET_1:def 4</a></i>;<br/>
<b>hence </b><a NAME="E2:102"/>
( <font color="Maroon">a</font> <a href="group_2.html#K12" target="_self">*</a> <span class="p1">(<span class="default"><a href="group_2.html#K6" target="_self">(Omega).</a> <font color="Maroon">G</font></span>)</span> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">G</font> &amp; <span class="p1">(<span class="default"><a href="group_2.html#K6" target="_self">(Omega).</a> <font color="Maroon">G</font></span>)</span> <a href="group_2.html#K13" target="_self">*</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">G</font> )
 ;<br/>


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