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<b>let </b><font color="Maroon" title="c3">OTS</font> be   <a href="geomtrap.html#NM2" title="GEOMTRAP:NM.2">OrdTrapSpace</a>;<br/><b>let </b><font color="Maroon" title="c4">a</font>, <font color="Maroon" title="c5">b</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c3">OTS</font>;<br/>





<b>consider </b><font color="Maroon" title="c6">c</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c3">OTS</font><b> such that </b><br/><a NAME="E2:107"/><i><font color="Green" title="E90">A1</font></i>: 
( <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c6">c</font> or <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">c</font>,<font color="Maroon" title="c4">a</font> )
 <b>by </b><i><a class="ref" href="geomtrap.html#D14" target="_self" title="GEOMTRAP:def.14">Def14</a></i>;<br/>
<div><i><font color="Green" title="E91">A2</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="107_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:107_1"/><i><font color="Green" title="E92">A3</font></i>: 
<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">c</font>,<font color="Maroon" title="c4">a</font>
 ;<br/><a NAME="E2:107_1"/><b>then </b>
<font color="Maroon" title="c6">c</font>,<font color="Maroon" title="c4">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font>
 <b>by </b><i><a class="ref" href="geomtrap.html#D14" target="_self" title="GEOMTRAP:def.14">Def14</a></i>;<br/><a NAME="E3:107_1"/><b>then </b>
( <font color="Maroon" title="c6">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">a</font> &amp; <font color="Maroon" title="c4">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">b</font> )
 <b>by </b><i><a class="ref" href="geomtrap.html#D14" target="_self" title="GEOMTRAP:def.14">Def14</a></i>;<br/><b>hence </b><a NAME="E4:107_1"/>
<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font>
 <b>by </b><i><a class="txt" href="geomtrap.html#E1:107_1"><i><font color="Green" title="E92">A3</font></i></a></i>;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="107_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:107_2"/><i><font color="Green" title="E92">A4</font></i>: 
<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c6">c</font>
 ;<br/><div><i><font color="Green" title="E93">A5</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="107_2_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:107_2_1"/><i><font color="Green" title="E94">A6</font></i>: 
<font color="Maroon" title="c4">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c6">c</font>
 ;<br/><a NAME="E2:107_2_1"/>
<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c6">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font>
 <b>by </b><i><a class="txt" href="geomtrap.html#E1:107_2"><i><font color="Green" title="E92">A4</font></i></a>, <a class="ref" href="geomtrap.html#D14" target="_self" title="GEOMTRAP:def.14">Def14</a></i>;<br/><b>hence </b><a NAME="E3:107_2_1"/>
<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font>
 <b>by </b><i><a class="txt" href="geomtrap.html#E1:107_2_1"><i><font color="Green" title="E94">A6</font></i></a>, <a class="ref" href="geomtrap.html#D14" target="_self" title="GEOMTRAP:def.14">Def14</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="107_2_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:107_2_2"/>
<font color="Maroon" title="c4">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">c</font>
 ;<br/><a NAME="E2:107_2_2"/><b>then </b>
<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c4">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font>
 <b>by </b><i><a class="txt" href="geomtrap.html#E1:107_2"><i><font color="Green" title="E92">A4</font></i></a>, <a class="ref" href="geomtrap.html#D14" target="_self" title="GEOMTRAP:def.14">Def14</a></i>;<br/><b>hence </b><a NAME="E3:107_2_2"/>
<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font>
 <b>by </b><i><a class="ref" href="geomtrap.html#D14" target="_self" title="GEOMTRAP:def.14">Def14</a></i>;<br/></div><b>end;</b></div><b>hence </b><a NAME="E4:107_2"/>
<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font>
 <b>by </b><i><a class="txt" href="geomtrap.html#E2:107_2"><i><font color="Green" title="E93">A5</font></i></a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E5:107"/>
<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font>
 <b>by </b><i><a class="txt" href="geomtrap.html#E2:107"><i><font color="Green" title="E90">A1</font></i></a>, <a class="txt" href="geomtrap.html#E3:107"><i><font color="Green" title="E91">A2</font></i></a></i>;<br/>


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