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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="group_1.html#NM1">Group</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="group_2.html#M1">Subgroup</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<i><font color="Green">E52</font></i>:  <a href="subset_1.html#K2">[#]</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> = 
the <a href="struct_0.html#U1">carrier</a> of <a href="group_1.html#G1">HGrStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font>,the <a href="group_1.html#U1">mult</a> of <font color="Maroon">c<sub>1</sub></font> #)
<b>by </b><i><a class="ref" href="subset_1.html#D4">SUBSET_1:def 4</a></i>
<br/>.= 
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="group_2.html#K6">(Omega).</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>

;<br/>
<a NAME="E2:70"/>
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="group_2.html#K6">(Omega).</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="group_2.html#K7">carr</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="subset_1.html#K2">[#]</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="txt" href="group_4.html#E1:70"><i><font color="Green">E52</font></i></a>, <a class="ref" href="subset_1.html#T28">SUBSET_1:28</a></i>;<br/>
<b>hence </b><span class="p1">(<span class="default"><a href="group_2.html#K6">(Omega).</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="group_4.html#K8" target="_self">"\/"</a> <font color="Maroon">c<sub>2</sub></font> = 
 <a href="group_4.html#K5" target="_self">gr</a> <span class="p1">(<span class="default"><a href="group_2.html#K7">carr</a> <span class="p2">(<span class="default"><a href="group_2.html#K6">(Omega).</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="group_4.html#E1:70"><i><font color="Green">E52</font></i></a></i>
<br/>.= 
 <a href="group_2.html#K6">(Omega).</a> <font color="Maroon">c<sub>1</sub></font>
<b>by </b><i><a class="ref" href="group_4.html#T40" target="_self">Th40</a></i>
;<br/><br/>

<b>hence </b><a NAME="E4:70"/>
<font color="Maroon">c<sub>2</sub></font> <a href="group_4.html#K8" target="_self">"\/"</a> <span class="p1">(<span class="default"><a href="group_2.html#K6">(Omega).</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="group_2.html#R1">=</a>  <a href="group_2.html#K6">(Omega).</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/>


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