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<b>consider </b><font color="Maroon">c<sub>3</sub></font> being   <a href="geomtrap.html#NM2">OrdTrapSpace</a>;<br/>
<b>set </b><font color="Maroon">c<sub>4</sub></font> =  <a href="diraf.html#K2">Lambda</a> <font color="Maroon">c<sub>3</sub></font>;<br/>
<a NAME="E2:110_1_1"/>
for <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font>, <font color="Olive">b<sub>3</sub></font>, <font color="Olive">b<sub>4</sub></font>, <font color="Olive">b<sub>5</sub></font>, <font color="Olive">b<sub>6</sub></font> being  <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="diraf.html#K2">Lambda</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> holds <br/>( <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font> <a href="analoaf.html#R2">//</a> <font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font> &amp; ( <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font> <a href="analoaf.html#R2">//</a> <font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>4</sub></font> &amp; <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font> <a href="analoaf.html#R2">//</a> <font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>6</sub></font> &amp; not <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>2</sub></font> implies <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>6</sub></font> ) &amp; ( <font color="Olive">b<sub>5</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Olive">b<sub>6</sub></font> &amp; <font color="Olive">b<sub>5</sub></font>,<font color="Olive">b<sub>6</sub></font> <a href="analoaf.html#R2">//</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font> &amp; <font color="Olive">b<sub>5</sub></font>,<font color="Olive">b<sub>6</sub></font> <a href="analoaf.html#R2">//</a> <font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>4</sub></font> implies <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font> <a href="analoaf.html#R2">//</a> <font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>4</sub></font> ) &amp; ( <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font> <a href="analoaf.html#R2">//</a> <font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>4</sub></font> implies <font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>4</sub></font> <a href="analoaf.html#R2">//</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font> ) &amp; ex <font color="Olive">b<sub>7</sub></font> being  <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="diraf.html#K2">Lambda</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> st <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font> <a href="analoaf.html#R2">//</a> <font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>7</sub></font> )
 
<b>by </b><i><a class="txt" href="geomtrap.html#E102"><i><font color="Green">Lemma86</font></i></a>, <a class="txt" href="geomtrap.html#E103"><i><font color="Green">Lemma87</font></i></a>, <a class="txt" href="geomtrap.html#E104"><i><font color="Green">Lemma88</font></i></a>, <a class="txt" href="geomtrap.html#E105"><i><font color="Green">Lemma89</font></i></a>, <a class="txt" href="geomtrap.html#E107"><i><font color="Green">Lemma91</font></i></a></i>;<br/>
<a NAME="E3:110_1_1"/><b>then </b>
 <a href="diraf.html#K2">Lambda</a> <font color="Maroon">c<sub>3</sub></font> is <a href="geomtrap.html#V4" target="_self">TrapSpace-like</a>
 
<b>by </b><i><a class="ref" href="geomtrap.html#D15" target="_self">Def15</a></i>;<br/>
<b>hence </b><a NAME="E4:110_1_1"/>
ex <font color="Olive">b<sub>1</sub></font> being non <a href="struct_0.html#V3">empty</a>  <a href="analoaf.html#L1">AffinStruct</a>  st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="analoaf.html#V1">strict</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="geomtrap.html#V4" target="_self">TrapSpace-like</a> )
 ;<br/>


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