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<span class="kw">let </span><font color="Maroon" title="c1">G</font> be   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">N1</font>, <font color="Olive" title="b2">N2</font> being  <a href="group_3.html#V1" title="GROUP_3:attr.1">normal</a>   <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Maroon" title="c1">G</font> holds  <span class="p1"><a href="group_5.html#K8" title="GROUP_5:func.8">[.</a><span class="default"><font color="Olive" title="b1">N1</font>,<font color="Olive" title="b2">N2</font></span><a href="group_5.html#K8" title="GROUP_5:func.8">.]</a></span> <a href="group_2.html#R1" title="GROUP_2:pred.1">=</a> <span class="p1"><a href="group_5.html#K8" title="GROUP_5:func.8">[.</a><span class="default"><font color="Olive" title="b2">N2</font>,<font color="Olive" title="b1">N1</font></span><a href="group_5.html#K8" title="GROUP_5:func.8">.]</a></span></span><br/><span class="kw">let </span><font color="Maroon" title="c2">N1</font>, <font color="Maroon" title="c3">N2</font> be   <a href="group_3.html#V1" title="GROUP_3:attr.1">normal</a>   <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Maroon" title="c1">G</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <span class="p1"><a href="group_5.html#K8" title="GROUP_5:func.8">[.</a><span class="default"><font color="Maroon" title="c2">N1</font>,<font color="Maroon" title="c3">N2</font></span><a href="group_5.html#K8" title="GROUP_5:func.8">.]</a></span> <a href="group_2.html#R1" title="GROUP_2:pred.1">=</a> <span class="p1"><a href="group_5.html#K8" title="GROUP_5:func.8">[.</a><span class="default"><font color="Maroon" title="c3">N2</font>,<font color="Maroon" title="c2">N1</font></span><a href="group_5.html#K8" title="GROUP_5:func.8">.]</a></span></span><br/>





<a NAME="E1:83"/>
( <span class="p1"><a href="group_5.html#K8" title="GROUP_5:func.8">[.</a><span class="default"><font color="Maroon" title="c2">N1</font>,<font color="Maroon" title="c3">N2</font></span><a href="group_5.html#K8" title="GROUP_5:func.8">.]</a></span> is    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <span class="p1"><a href="group_5.html#K8" title="GROUP_5:func.8">[.</a><span class="default"><font color="Maroon" title="c3">N2</font>,<font color="Maroon" title="c2">N1</font></span><a href="group_5.html#K8" title="GROUP_5:func.8">.]</a></span> &amp; <span class="p1"><a href="group_5.html#K8" title="GROUP_5:func.8">[.</a><span class="default"><font color="Maroon" title="c3">N2</font>,<font color="Maroon" title="c2">N1</font></span><a href="group_5.html#K8" title="GROUP_5:func.8">.]</a></span> is    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <span class="p1"><a href="group_5.html#K8" title="GROUP_5:func.8">[.</a><span class="default"><font color="Maroon" title="c2">N1</font>,<font color="Maroon" title="c3">N2</font></span><a href="group_5.html#K8" title="GROUP_5:func.8">.]</a></span> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="group_5.html#E87"><span class="lab"><font color="Green" title="E38">Lm2</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:83"/>
<span class="p1"><a href="group_5.html#K8" title="GROUP_5:func.8">[.</a><span class="default"><font color="Maroon" title="c2">N1</font>,<font color="Maroon" title="c3">N2</font></span><a href="group_5.html#K8" title="GROUP_5:func.8">.]</a></span> <a href="group_2.html#R1" title="GROUP_2:pred.1">=</a> <span class="p1"><a href="group_5.html#K8" title="GROUP_5:func.8">[.</a><span class="default"><font color="Maroon" title="c3">N2</font>,<font color="Maroon" title="c2">N1</font></span><a href="group_5.html#K8" title="GROUP_5:func.8">.]</a></span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="group_2.html#T64" title="GROUP_2:th.64">GROUP_2:64</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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