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<b>consider </b><font color="Maroon">F</font> being   <a href="vectsp_1.html#NM2">Field</a>;<br/>
<a NAME="E2:42_1_1"/>
for <font color="Olive">a</font>, <font color="Olive">b</font>, <font color="Olive">c</font>, <font color="Olive">d</font>, <font color="Olive">p</font>, <font color="Olive">q</font>, <font color="Olive">r</font>, <font color="Olive">s</font> being  <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="parsp_1.html#K9" target="_self">MPS</a> <font color="Maroon">F</font></span>)</span> holds <br/> ( <font color="Olive">a</font>,<font color="Olive">b</font> <a href="parsp_1.html#R1" target="_self">'||'</a> <font color="Olive">b</font>,<font color="Olive">a</font> &amp; <font color="Olive">a</font>,<font color="Olive">b</font> <a href="parsp_1.html#R1" target="_self">'||'</a> <font color="Olive">c</font>,<font color="Olive">c</font> &amp; ( <font color="Olive">a</font>,<font color="Olive">b</font> <a href="parsp_1.html#R1" target="_self">'||'</a> <font color="Olive">p</font>,<font color="Olive">q</font> &amp; <font color="Olive">a</font>,<font color="Olive">b</font> <a href="parsp_1.html#R1" target="_self">'||'</a> <font color="Olive">r</font>,<font color="Olive">s</font> &amp; not <font color="Olive">p</font>,<font color="Olive">q</font> <a href="parsp_1.html#R1" target="_self">'||'</a> <font color="Olive">r</font>,<font color="Olive">s</font> implies <font color="Olive">a</font> <a href="hidden.html#R1">=</a> <font color="Olive">b</font> ) &amp; ( <font color="Olive">a</font>,<font color="Olive">b</font> <a href="parsp_1.html#R1" target="_self">'||'</a> <font color="Olive">a</font>,<font color="Olive">c</font> implies <font color="Olive">b</font>,<font color="Olive">a</font> <a href="parsp_1.html#R1" target="_self">'||'</a> <font color="Olive">b</font>,<font color="Olive">c</font> ) &amp;  ex <font color="Olive">x</font> being  <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="parsp_1.html#K9" target="_self">MPS</a> <font color="Maroon">F</font></span>)</span> st <br/>( <font color="Olive">a</font>,<font color="Olive">b</font> <a href="parsp_1.html#R1" target="_self">'||'</a> <font color="Olive">c</font>,<font color="Olive">x</font> &amp; <font color="Olive">a</font>,<font color="Olive">c</font> <a href="parsp_1.html#R1" target="_self">'||'</a> <font color="Olive">b</font>,<font color="Olive">x</font> ) )
 
<b>by </b><i><a class="txt" href="parsp_1.html#E10"><i><font color="Green">Lemma29</font></i></a>, <a class="txt" href="parsp_1.html#E11"><i><font color="Green">Lemma30</font></i></a>, <a class="txt" href="parsp_1.html#E12"><i><font color="Green">Lemma31</font></i></a>, <a class="txt" href="parsp_1.html#E13"><i><font color="Green">Lemma32</font></i></a>, </i>;<br/>
<a NAME="E3:42_1_1"/><b>then </b>
 <a href="parsp_1.html#K9" target="_self">MPS</a> <font color="Maroon">F</font> is <a href="parsp_1.html#V2" target="_self">ParSp-like</a>
 
<b>by </b><i><a class="txt" href="parsp_1.html#E14"><i><font color="Green">Lemma34</font></i></a></i>;<br/>
<b>hence </b><a NAME="E4:42_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being non <a href="struct_0.html#V3">empty</a>  <a href="parsp_1.html#L1" target="_self">ParStr</a>  st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="parsp_1.html#V1" target="_self">strict</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="parsp_1.html#V2" target="_self">ParSp-like</a> )
 ;<br/>


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