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<span class="kw">let </span><font color="Maroon" title="c1">G</font> be   <a href="group_1a.html#NM1" title="GROUP_1A:NM.1">addGroup</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">H1</font>, <font color="Olive" title="b2">H2</font> being    <a href="group_1a.html#M1" title="GROUP_1A:mode.1">Subgroup</a> of <font color="Maroon" title="c1">G</font> holds   <a href="group_1a.html#K1" title="GROUP_1A:func.1">0_</a> <font color="Olive" title="b1">H1</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a> <font color="Olive" title="b2">H2</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">H1</font>, <font color="Maroon" title="c3">H2</font> be    <a href="group_1a.html#M1" title="GROUP_1A:mode.1">Subgroup</a> of <font color="Maroon" title="c1">G</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="group_1a.html#K1" title="GROUP_1A:func.1">0_</a> <font color="Maroon" title="c2">H1</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a> <font color="Maroon" title="c3">H2</font></span><br/>





<a NAME="E1:113"/>
 <a href="group_1a.html#K1" title="GROUP_1A:func.1">0_</a> <font color="Maroon" title="c2">H1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_1a.html#K1" title="GROUP_1A:func.1">0_</a> <font color="Maroon" title="c1">G</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="group_1a.html#T90" target="_self" onmouseover="rs('group_1a/T90')" onmouseout="rh()">Th44</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:113"/>
 <a href="group_1a.html#K1" title="GROUP_1A:func.1">0_</a> <font color="Maroon" title="c2">H1</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a> <font color="Maroon" title="c3">H2</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="group_1a.html#T92" target="_self" onmouseover="rs('group_1a/T92')" onmouseout="rh()">Th46</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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