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

<b>let </b><font color="Maroon" title="c1">FdSp</font> be   <a href="parsp_2.html#NM1" title="PARSP_2:NM.1">FanodesSp</a>;<br/><b>let </b><font color="Maroon" title="c2">b</font>, <font color="Maroon" title="c3">q</font>, <font color="Maroon" title="c4">c</font>, <font color="Maroon" title="c5">a</font>, <font color="Maroon" title="c6">p</font>, <font color="Maroon" title="c7">r</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">FdSp</font>;<br/>













<b>assume </b><a NAME="E1:55"/>
( not <font color="Maroon" title="c2">b</font>,<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c4">c</font> <a href="parsp_2.html#R1" title="PARSP_2:pred.1">is_collinear</a>  &amp;  <a href="parsp_2.html#R2" title="PARSP_2:pred.2">parallelogram</a> <font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c2">b</font>,<font color="Maroon" title="c3">q</font> &amp;  <a href="parsp_2.html#R2" title="PARSP_2:pred.2">parallelogram</a> <font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c7">r</font> )
 ;<br/>

<a NAME="E2:55"/><b>then </b>
( not <font color="Maroon" title="c2">b</font>,<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c4">c</font> <a href="parsp_2.html#R1" title="PARSP_2:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c5">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c6">p</font> &amp; <font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c6">p</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Maroon" title="c2">b</font>,<font color="Maroon" title="c3">q</font> &amp; <font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c6">p</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c7">r</font> &amp; <font color="Maroon" title="c2">b</font>,<font color="Maroon" title="c4">c</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c7">r</font> )
 
<b>by </b><i><a class="ref" href="parsp_2.html#D3" target="_self" title="PARSP_2:def.3">Def3</a>, <a class="ref" href="parsp_2.html#T34" target="_self" title="PARSP_2:th.34">Th34</a>, <a class="ref" href="parsp_2.html#T47" target="_self" title="PARSP_2:th.47">Th47</a></i>;<br/>
<a NAME="E3:55"/><b>then </b>
( not <font color="Maroon" title="c2">b</font>,<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c4">c</font> <a href="parsp_2.html#R1" title="PARSP_2:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c2">b</font>,<font color="Maroon" title="c3">q</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c7">r</font> &amp; <font color="Maroon" title="c2">b</font>,<font color="Maroon" title="c4">c</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c7">r</font> )
 
<b>by </b><i><a class="ref" href="parsp_1.html#D12" title="PARSP_1:def.12">PARSP_1:def 12</a></i>;<br/>
<b>hence </b><a NAME="E4:55"/>
 <a href="parsp_2.html#R2" title="PARSP_2:pred.2">parallelogram</a> <font color="Maroon" title="c2">b</font>,<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c7">r</font>
 <b>by </b><i><a class="ref" href="parsp_2.html#D3" target="_self" title="PARSP_2:def.3">Def3</a></i>;<br/>


</div>
