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<b>let </b><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:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">B</font>, <font color="Olive" title="b3">C</font> being  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">G</font>  st <font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font> <a href="group_3.html#R4" title="GROUP_3:pred.4">are_conjugated</a>  &amp; <font color="Olive" title="b2">B</font>,<font color="Olive" title="b3">C</font> <a href="group_3.html#R4" title="GROUP_3:pred.4">are_conjugated</a>  holds <br/><font color="Olive" title="b1">A</font>,<font color="Olive" title="b3">C</font> <a href="group_3.html#R4" title="GROUP_3:pred.4">are_conjugated</a> </span><br/><b>let </b><font color="Maroon" title="c2">A</font>, <font color="Maroon" title="c3">B</font>, <font color="Maroon" title="c4">C</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">G</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c3">B</font> <a href="group_3.html#R4" title="GROUP_3:pred.4">are_conjugated</a>  &amp; <font color="Maroon" title="c3">B</font>,<font color="Maroon" title="c4">C</font> <a href="group_3.html#R4" title="GROUP_3:pred.4">are_conjugated</a>  implies <font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c4">C</font> <a href="group_3.html#R4" title="GROUP_3:pred.4">are_conjugated</a>  )</span><br/>







<b>given </b><font color="Maroon" title="c5">g</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">G</font><b> such that </b><a NAME="E2:95"/><i><font color="Green" title="E65">A1</font></i>: 
<font color="Maroon" title="c2">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">B</font> <a href="group_3.html#K4" title="GROUP_3:func.4">|^</a> <font color="Maroon" title="c5">g</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="group_3.html#D9" target="_self" title="GROUP_3:def.9">GROUP_3:def 9</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  not <font color="Maroon" title="c3">B</font>,<font color="Maroon" title="c4">C</font> <a href="group_3.html#R4" title="GROUP_3:pred.4">are_conjugated</a>  or <font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c4">C</font> <a href="group_3.html#R4" title="GROUP_3:pred.4">are_conjugated</a>  )</span><br/>

<b>given </b><font color="Maroon" title="c6">h</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">G</font><b> such that </b><a NAME="E4:95"/><i><font color="Green" title="E66">A2</font></i>: 
<font color="Maroon" title="c3">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">C</font> <a href="group_3.html#K4" title="GROUP_3:func.4">|^</a> <font color="Maroon" title="c6">h</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="group_3.html#D9" target="_self" title="GROUP_3:def.9">GROUP_3:def 9</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c4">C</font> <a href="group_3.html#R4" title="GROUP_3:pred.4">are_conjugated</a> </span><br/>

<a NAME="E5:95"/>
<font color="Maroon" title="c2">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">C</font> <a href="group_3.html#K4" title="GROUP_3:func.4">|^</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">h</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Maroon" title="c5">g</font></span>)</span>
 
<b>by </b><i><a class="txt" href="#E2:95"><i><font color="Green" title="E65">A1</font></i></a>, <a class="txt" href="#E4:95"><i><font color="Green" title="E66">A2</font></i></a>, <a class="ref" href="group_3.html#T56" target="_self" title="GROUP_3:th.56">Th56</a></i>;<br/>
<b>hence </b><a NAME="E6:95"/>
<font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c4">C</font> <a href="group_3.html#R4" title="GROUP_3:pred.4">are_conjugated</a> 
 <b>by </b><i><a class="ref" href="group_3.html#D9" target="_self" title="GROUP_3:def.9">Def9</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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