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

<span class="kw">let </span><font color="Maroon" title="c3">OTS</font> be   <a href="geomtrap.html#NM2" title="GEOMTRAP:NM.2">OrdTrapSpace</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <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> </span><br/>

<span class="kw">set </span><font color="Maroon" title="c4">TS</font> =  <a href="diraf.html#K2" title="DIRAF:func.2">Lambda</a> <font color="Maroon" title="c3">OTS</font>;<br/>
<span class="kw">let </span><font color="Maroon" title="c5">a9</font>, <font color="Maroon" title="c6">b9</font>, <font color="Maroon" title="c7">c9</font>, <font color="Maroon" title="c8">d9</font>, <font color="Maroon" title="c9">p9</font>, <font color="Maroon" title="c10">q9</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>; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="geomtrap.html#D15" target="_self" title="GEOMTRAP:def.15">GEOMTRAP:def 15</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">b9</font>,<font color="Maroon" title="c5">a9</font> &amp; ( <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> &amp; <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c10">q9</font> &amp; not <font color="Maroon" title="c5">a9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">b9</font> implies <font color="Maroon" title="c8">d9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">q9</font> ) &amp; ( <font color="Maroon" title="c9">p9</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">q9</font> &amp; <font color="Maroon" title="c9">p9</font>,<font color="Maroon" title="c10">q9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> &amp; <font color="Maroon" title="c9">p9</font>,<font color="Maroon" title="c10">q9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> implies <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> ) &amp; ( <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> implies <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> ) &amp;  ex <font color="Olive" title="b1">x9</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="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Olive" title="b1">x9</font> )</span><br/>

<span class="kw">thus </span><a NAME="E1:114"/>
<font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">b9</font>,<font color="Maroon" title="c5">a9</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="geomtrap.html#E108"><span class="lab"><font color="Green" title="E91">Lm42</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( ( <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> &amp; <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c10">q9</font> &amp; not <font color="Maroon" title="c5">a9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">b9</font> implies <font color="Maroon" title="c8">d9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">q9</font> ) &amp; ( <font color="Maroon" title="c9">p9</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">q9</font> &amp; <font color="Maroon" title="c9">p9</font>,<font color="Maroon" title="c10">q9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> &amp; <font color="Maroon" title="c9">p9</font>,<font color="Maroon" title="c10">q9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> implies <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> ) &amp; ( <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> implies <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> ) &amp;  ex <font color="Olive" title="b1">x9</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="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Olive" title="b1">x9</font> )</span><br/>

<span class="kw">thus </span><a NAME="E2:114"/>
( <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> &amp; <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c10">q9</font> &amp; not <font color="Maroon" title="c5">a9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">b9</font> implies <font color="Maroon" title="c8">d9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">q9</font> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="geomtrap.html#E106"><span class="lab"><font color="Green" title="E89">Lm40</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( ( <font color="Maroon" title="c9">p9</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">q9</font> &amp; <font color="Maroon" title="c9">p9</font>,<font color="Maroon" title="c10">q9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> &amp; <font color="Maroon" title="c9">p9</font>,<font color="Maroon" title="c10">q9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> implies <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> ) &amp; ( <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> implies <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> ) &amp;  ex <font color="Olive" title="b1">x9</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="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Olive" title="b1">x9</font> )</span><br/>

<span class="kw">thus </span><a NAME="E3:114"/>
( <font color="Maroon" title="c9">p9</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">q9</font> &amp; <font color="Maroon" title="c9">p9</font>,<font color="Maroon" title="c10">q9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> &amp; <font color="Maroon" title="c9">p9</font>,<font color="Maroon" title="c10">q9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> implies <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="geomtrap.html#E105"><span class="lab"><font color="Green" title="E88">Lm39</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( ( <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> implies <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> ) &amp;  ex <font color="Olive" title="b1">x9</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="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Olive" title="b1">x9</font> )</span><br/>

<span class="kw">thus </span><a NAME="E4:114"/>
( <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> implies <font color="Maroon" title="c7">c9</font>,<font color="Maroon" title="c8">d9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a9</font>,<font color="Maroon" title="c6">b9</font> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="geomtrap.html#E104"><span class="lab"><font color="Green" title="E87">Lm38</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  ex <font color="Olive" title="b1">x9</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="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Olive" title="b1">x9</font></span><br/>

<span class="kw">thus </span><a NAME="E5:114"/>
 ex <font color="Olive" title="b1">x9</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="c5">a9</font>,<font color="Maroon" title="c6">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c9</font>,<font color="Olive" title="b1">x9</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="geomtrap.html#E103"><span class="lab"><font color="Green" title="E86">Lm37</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
