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<a NAME="E1:112_1_1"/>
 <a href="diraf.html#K2" title="DIRAF:func.2">Lambda</a> <font color="Maroon" title="c3">OTS</font> is <a href="geomtrap.html#V4" title="GEOMTRAP:attr.4">TrapSpace-like</a>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="112_1_1_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon" title="c4">a'</font>, <font color="Maroon" title="c5">b'</font>, <font color="Maroon" title="c6">c'</font>, <font color="Maroon" title="c7">d'</font>, <font color="Maroon" title="c8">p'</font>, <font color="Maroon" title="c9">q'</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="diraf.html#K2" title="DIRAF:func.2">Lambda</a> <font color="Maroon" title="c3">OTS</font></span>)</span>; <i><font color="Red">:: according to </font></i><a class="ref" href="geomtrap.html#D15" target="_self" title="GEOMTRAP:def.15">GEOMTRAP:def 15</a><br/>

<b>thus </b><a NAME="E1:112_1_1_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="c5">b'</font>,<font color="Maroon" title="c4">a'</font> &amp; ( <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="c7">d'</font> &amp; <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="c9">q'</font> &amp; not <font color="Maroon" title="c4">a'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">b'</font> implies <font color="Maroon" title="c7">d'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">q'</font> ) &amp; ( <font color="Maroon" title="c8">p'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">q'</font> &amp; <font color="Maroon" title="c8">p'</font>,<font color="Maroon" title="c9">q'</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> &amp; <font color="Maroon" title="c8">p'</font>,<font color="Maroon" title="c9">q'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">c'</font>,<font color="Maroon" title="c7">d'</font> implies <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="c7">d'</font> ) &amp; ( <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="c7">d'</font> implies <font color="Maroon" title="c6">c'</font>,<font color="Maroon" title="c7">d'</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> ) &amp;  ex <font color="Olive" title="b1">x'</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="diraf.html#K2" title="DIRAF:func.2">Lambda</a> <font color="Maroon" title="c3">OTS</font></span>)</span> st <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="Olive" title="b1">x'</font> )
 <b>by </b><i><a class="txt" href="geomtrap.html#E102"><i><font color="Green" title="E85">Lm36</font></i></a>, <a class="txt" href="geomtrap.html#E103"><i><font color="Green" title="E86">Lm37</font></i></a>, <a class="txt" href="geomtrap.html#E104"><i><font color="Green" title="E87">Lm38</font></i></a>, <a class="txt" href="geomtrap.html#E105"><i><font color="Green" title="E88">Lm39</font></i></a>, <a class="txt" href="geomtrap.html#E107"><i><font color="Green" title="E90">Lm41</font></i></a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E2:112_1_1"/>
 <a href="diraf.html#K2" title="DIRAF:func.2">Lambda</a> <font color="Maroon" title="c3">OTS</font> is <a href="geomtrap.html#V4" title="GEOMTRAP:attr.4">TrapSpace-like</a>
 ;<br/>


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