<?xml version="1.0"?>
<div class="add">

<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" 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">a</font>, <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">c</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">G</font> holds  <span class="p1"><a href="group_5.html#K3" title="GROUP_5:func.3">[.</a><span class="default"><font color="Olive" title="b1">a</font>,<span class="p2">(<span class="default"><font color="Olive" title="b2">b</font> <a href="group_1.html#K2" title="GROUP_1:func.2">"</a></span>)</span>,<font color="Olive" title="b3">c</font></span><a href="group_5.html#K3" title="GROUP_5:func.3">.]</a></span> <a href="group_3.html#K2" title="GROUP_3:func.2">|^</a> <font color="Olive" title="b2">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="group_5.html#K3" title="GROUP_5:func.3">[.</a><span class="default"><font color="Olive" title="b2">b</font>,<font color="Olive" title="b1">a</font>,<span class="p2">(<span class="default"><font color="Olive" title="b3">c</font> <a href="group_3.html#K2" title="GROUP_3:func.2">|^</a> <font color="Olive" title="b2">b</font></span>)</span></span><a href="group_5.html#K3" title="GROUP_5:func.3">.]</a></span></span><br/><span class="kw">let </span><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#NM1" title="STRUCT_0:NM.1">Element</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"> <span class="p1"><a href="group_5.html#K3" title="GROUP_5:func.3">[.</a><span class="default"><font color="Maroon" title="c2">a</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="group_1.html#K2" title="GROUP_1:func.2">"</a></span>)</span>,<font color="Maroon" title="c4">c</font></span><a href="group_5.html#K3" title="GROUP_5:func.3">.]</a></span> <a href="group_3.html#K2" title="GROUP_3:func.2">|^</a> <font color="Maroon" title="c3">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="group_5.html#K3" title="GROUP_5:func.3">[.</a><span class="default"><font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c4">c</font> <a href="group_3.html#K2" title="GROUP_3:func.2">|^</a> <font color="Maroon" title="c3">b</font></span>)</span></span><a href="group_5.html#K3" title="GROUP_5:func.3">.]</a></span></span><br/>







<a NAME="E1:7"/>
<span class="p1"><a href="group_5.html#K3" title="GROUP_5:func.3">[.</a><span class="default"><font color="Maroon" title="c2">a</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="group_1.html#K2" title="GROUP_1:func.2">"</a></span>)</span>,<font color="Maroon" title="c4">c</font></span><a href="group_5.html#K3" title="GROUP_5:func.3">.]</a></span> <a href="group_3.html#K2" title="GROUP_3:func.2">|^</a> <font color="Maroon" title="c3">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="group_5.html#K2" title="GROUP_5:func.2">[.</a><span class="default"><span class="p2">(<span class="default"><span class="p3"><a href="group_5.html#K2" title="GROUP_5:func.2">[.</a><span class="default"><font color="Maroon" title="c2">a</font>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="group_1.html#K2" title="GROUP_1:func.2">"</a></span>)</span></span><a href="group_5.html#K2" title="GROUP_5:func.2">.]</a></span> <a href="group_3.html#K2" title="GROUP_3:func.2">|^</a> <font color="Maroon" title="c3">b</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c4">c</font> <a href="group_3.html#K2" title="GROUP_3:func.2">|^</a> <font color="Maroon" title="c3">b</font></span>)</span></span><a href="group_5.html#K2" title="GROUP_5:func.2">.]</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="grnilp_1.html#T5" target="_self" onmouseover="rs('grnilp_1/T5')" onmouseout="rh()">Th5</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:7"/>
<span class="p1"><a href="group_5.html#K3" title="GROUP_5:func.3">[.</a><span class="default"><font color="Maroon" title="c2">a</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="group_1.html#K2" title="GROUP_1:func.2">"</a></span>)</span>,<font color="Maroon" title="c4">c</font></span><a href="group_5.html#K3" title="GROUP_5:func.3">.]</a></span> <a href="group_3.html#K2" title="GROUP_3:func.2">|^</a> <font color="Maroon" title="c3">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="group_5.html#K3" title="GROUP_5:func.3">[.</a><span class="default"><font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c4">c</font> <a href="group_3.html#K2" title="GROUP_3:func.2">|^</a> <font color="Maroon" title="c3">b</font></span>)</span></span><a href="group_5.html#K3" title="GROUP_5:func.3">.]</a></span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="grnilp_1.html#T6" target="_self" onmouseover="rs('grnilp_1/T6')" onmouseout="rh()">Th6</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/>


</div>
