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<b>let </b><font color="Maroon" title="c1">FCPS</font> be  <a href="anproj_2.html#NV10" title="ANPROJ_2:NV.10">up-3-dimensional</a> <a href="anproj_2.html#NM1" title="ANPROJ_2:NM.1">CollProjectiveSpace</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">o</font>, <font color="Olive" title="b2">a'</font>, <font color="Olive" title="b3">b'</font>, <font color="Olive" title="b4">c'</font>, <font color="Olive" title="b5">a</font>, <font color="Olive" title="b6">b</font>, <font color="Olive" title="b7">c</font>, <font color="Olive" title="b8">p</font>, <font color="Olive" title="b9">q</font>, <font color="Olive" title="b10">r</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">FCPS</font>  st <font color="Olive" title="b1">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">a'</font> &amp; <font color="Olive" title="b1">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">b'</font> &amp; <font color="Olive" title="b1">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b4">c'</font> &amp; <font color="Olive" title="b5">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">a'</font> &amp; <font color="Olive" title="b6">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">b'</font> &amp; <font color="Olive" title="b1">o</font>,<font color="Olive" title="b5">a</font>,<font color="Olive" title="b6">b</font>,<font color="Olive" title="b7">c</font> <a href="projdes1.html#R2" title="PROJDES1:pred.2">constitute_a_quadrangle</a>  &amp; <font color="Olive" title="b1">o</font>,<font color="Olive" title="b5">a</font>,<font color="Olive" title="b2">a'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Olive" title="b1">o</font>,<font color="Olive" title="b6">b</font>,<font color="Olive" title="b3">b'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Olive" title="b1">o</font>,<font color="Olive" title="b7">c</font>,<font color="Olive" title="b4">c'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Olive" title="b5">a</font>,<font color="Olive" title="b6">b</font>,<font color="Olive" title="b8">p</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Olive" title="b2">a'</font>,<font color="Olive" title="b3">b'</font>,<font color="Olive" title="b8">p</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Olive" title="b6">b</font>,<font color="Olive" title="b7">c</font>,<font color="Olive" title="b9">q</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Olive" title="b3">b'</font>,<font color="Olive" title="b4">c'</font>,<font color="Olive" title="b9">q</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Olive" title="b5">a</font>,<font color="Olive" title="b7">c</font>,<font color="Olive" title="b10">r</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Olive" title="b2">a'</font>,<font color="Olive" title="b4">c'</font>,<font color="Olive" title="b10">r</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  holds <br/><font color="Olive" title="b8">p</font>,<font color="Olive" title="b9">q</font>,<font color="Olive" title="b10">r</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> </span><br/><b>let </b><font color="Maroon" title="c2">o</font>, <font color="Maroon" title="c3">a'</font>, <font color="Maroon" title="c4">b'</font>, <font color="Maroon" title="c5">c'</font>, <font color="Maroon" title="c6">a</font>, <font color="Maroon" title="c7">b</font>, <font color="Maroon" title="c8">c</font>, <font color="Maroon" title="c9">p</font>, <font color="Maroon" title="c10">q</font>, <font color="Maroon" title="c11">r</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">FCPS</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">a'</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">b'</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">c'</font> &amp; <font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">a'</font> &amp; <font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">b'</font> &amp; <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font> <a href="projdes1.html#R2" title="PROJDES1:pred.2">constitute_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c3">a'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c4">b'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c5">c'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c9">p</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c4">b'</font>,<font color="Maroon" title="c9">p</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c10">q</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c4">b'</font>,<font color="Maroon" title="c5">c'</font>,<font color="Maroon" title="c10">q</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c11">r</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c5">c'</font>,<font color="Maroon" title="c11">r</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  implies <font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c10">q</font>,<font color="Maroon" title="c11">r</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  )</span><br/>





















<b>assume </b><b>that </b><br/><a NAME="E1:29"/><i><font color="Green" title="E25">A1</font></i>: 
( <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">a'</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">b'</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">c'</font> &amp; <font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">a'</font> &amp; <font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">b'</font> )
 <b>and </b><br/><a NAME="E2:29"/><i><font color="Green" title="E26">A2</font></i>: 
<font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font> <a href="projdes1.html#R2" title="PROJDES1:pred.2">constitute_a_quadrangle</a> 
 <b>and </b><br/><a NAME="E3:29"/><i><font color="Green" title="E27">A3</font></i>: 
( <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c3">a'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c4">b'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c5">c'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c9">p</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c4">b'</font>,<font color="Maroon" title="c9">p</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c10">q</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c4">b'</font>,<font color="Maroon" title="c5">c'</font>,<font color="Maroon" title="c10">q</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c11">r</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c5">c'</font>,<font color="Maroon" title="c11">r</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c10">q</font>,<font color="Maroon" title="c11">r</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> </span><br/>

<a NAME="E4:29"/><i><font color="Green" title="E28">A4</font></i>: 
( <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">a'</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">b'</font> &amp; <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">c'</font> &amp; <font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">a'</font> &amp; <font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">b'</font> &amp; not <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c6">a</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c3">a'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c4">b'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c5">c'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c9">p</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c4">b'</font>,<font color="Maroon" title="c9">p</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c10">q</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c4">b'</font>,<font color="Maroon" title="c5">c'</font>,<font color="Maroon" title="c10">q</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c11">r</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c5">c'</font>,<font color="Maroon" title="c11">r</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  )
 
<b>by </b><i><a class="txt" href="#E1:29"><i><font color="Green" title="E25">A1</font></i></a>, <a class="txt" href="#E2:29"><i><font color="Green" title="E26">A2</font></i></a>, <a class="txt" href="#E3:29"><i><font color="Green" title="E27">A3</font></i></a>, <a class="ref" href="projdes1.html#D2" target="_self" title="PROJDES1:def.2">Def2</a></i>;<br/>
<div><i><font color="Green" title="E29">A5</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="29_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:29_1"/><i><font color="Green" title="E30">A6</font></i>: 
not <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c2">o</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c10">q</font>,<font color="Maroon" title="c11">r</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> </span><br/><a NAME="E2:29_1"/><b>then </b>
not <font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c4">b'</font>,<font color="Maroon" title="c5">c'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> 
 <b>by </b><i><a class="txt" href="#E1:29"><i><font color="Green" title="E25">A1</font></i></a>, <a class="txt" href="#E3:29"><i><font color="Green" title="E27">A3</font></i></a>, <a class="ref" href="projdes1.html#T23" target="_self" title="PROJDES1:th.23">Th23</a></i>;<br/><b>hence </b><a NAME="E3:29_1"/>
<font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c10">q</font>,<font color="Maroon" title="c11">r</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> 
 <b>by </b><i><a class="txt" href="#E1:29"><i><font color="Green" title="E25">A1</font></i></a>, <a class="txt" href="#E3:29"><i><font color="Green" title="E27">A3</font></i></a>, <a class="txt" href="#E1:29_1"><i><font color="Green" title="E30">A6</font></i></a>, <a class="ref" href="projdes1.html#T21" target="_self" title="PROJDES1:th.21">Th21</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="29_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:29_2"/><i><font color="Green" title="E30">A7</font></i>: 
<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c2">o</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c10">q</font>,<font color="Maroon" title="c11">r</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> </span><br/><b>consider </b><font color="Maroon" title="c12">d</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">FCPS</font><b> such that </b><br/><a NAME="E3:29_2"/><i><font color="Green" title="E31">A8</font></i>: 
not <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c12">d</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a> 
 <b>by </b><i><a class="txt" href="#E4:29"><i><font color="Green" title="E28">A4</font></i></a>, <a class="ref" href="projdes1.html#T17" target="_self" title="PROJDES1:th.17">Th17</a></i>;<br/><b>consider </b><font color="Maroon" title="c13">d'</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">FCPS</font><b> such that </b><br/><a NAME="E5:29_2"/><i><font color="Green" title="E32">A9</font></i>: 
( <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c13">d'</font> &amp; <font color="Maroon" title="c12">d</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c13">d'</font> &amp; <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c12">d</font>,<font color="Maroon" title="c13">d'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  )
 <b>by </b><i><a class="ref" href="anproj_2.html#D10" title="ANPROJ_2:def.10">ANPROJ_2:def 10</a></i>;<br/><a NAME="E6:29_2"/><i><font color="Green" title="E33">A10</font></i>: 
( <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c3">a'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c4">b'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c5">c'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  )
 <b>by </b><i><a class="txt" href="#E3:29"><i><font color="Green" title="E27">A3</font></i></a>, <a class="ref" href="projdes1.html#T1" target="_self" title="PROJDES1:th.1">Th1</a></i>;<br/><b>then consider </b><font color="Maroon" title="c14">s</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">FCPS</font><b> such that </b><br/><a NAME="E8:29_2"/><i><font color="Green" title="E34">A11</font></i>: 
( <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c12">d</font>,<font color="Maroon" title="c14">s</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c13">d'</font>,<font color="Maroon" title="c14">s</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  )
 <b>by </b><i><a class="txt" href="#E5:29_2"><i><font color="Green" title="E32">A9</font></i></a>, <a class="ref" href="anproj_2.html#D9" title="ANPROJ_2:def.9">ANPROJ_2:def 9</a></i>;<br/><b>consider </b><font color="Maroon" title="c15">t</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">FCPS</font><b> such that </b><br/><a NAME="E10:29_2"/><i><font color="Green" title="E35">A12</font></i>: 
( <font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c12">d</font>,<font color="Maroon" title="c15">t</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c4">b'</font>,<font color="Maroon" title="c13">d'</font>,<font color="Maroon" title="c15">t</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  )
 <b>by </b><i><a class="txt" href="#E5:29_2"><i><font color="Green" title="E32">A9</font></i></a>, <a class="txt" href="#E6:29_2"><i><font color="Green" title="E33">A10</font></i></a>, <a class="ref" href="anproj_2.html#D9" title="ANPROJ_2:def.9">ANPROJ_2:def 9</a></i>;<br/><b>consider </b><font color="Maroon" title="c16">u</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">FCPS</font><b> such that </b><br/><a NAME="E12:29_2"/><i><font color="Green" title="E36">A13</font></i>: 
( <font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c12">d</font>,<font color="Maroon" title="c16">u</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c5">c'</font>,<font color="Maroon" title="c13">d'</font>,<font color="Maroon" title="c16">u</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  )
 <b>by </b><i><a class="txt" href="#E5:29_2"><i><font color="Green" title="E32">A9</font></i></a>, <a class="txt" href="#E6:29_2"><i><font color="Green" title="E33">A10</font></i></a>, <a class="ref" href="anproj_2.html#D9" title="ANPROJ_2:def.9">ANPROJ_2:def 9</a></i>;<br/><a NAME="E13:29_2"/><i><font color="Green" title="E37">A14</font></i>: 
( not <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c2">o</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c2">o</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c2">o</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  )
 <b>by </b><i><a class="txt" href="#E4:29"><i><font color="Green" title="E28">A4</font></i></a>, <a class="ref" href="projdes1.html#T1" target="_self" title="PROJDES1:th.1">Th1</a></i>;<br/><a NAME="E14:29_2"/><b>then </b><i><font color="Green" title="E38">A15</font></i>: 
not <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c12">d</font>,<font color="Maroon" title="c2">o</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a> 
 <b>by </b><i><a class="txt" href="#E1:29_2"><i><font color="Green" title="E30">A7</font></i></a>, <a class="txt" href="#E3:29_2"><i><font color="Green" title="E31">A8</font></i></a>, <a class="ref" href="projdes1.html#T22" target="_self" title="PROJDES1:th.22">Th22</a></i>;<br/><a NAME="E15:29_2"/>
( not <font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c12">d</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a>  &amp; <font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c2">o</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a>  )
 <b>by </b><i><a class="txt" href="#E1:29_2"><i><font color="Green" title="E30">A7</font></i></a>, <a class="txt" href="#E3:29_2"><i><font color="Green" title="E31">A8</font></i></a>, <a class="ref" href="projdes1.html#T11" target="_self" title="PROJDES1:th.11">Th11</a></i>;<br/><a NAME="E16:29_2"/><b>then </b><i><font color="Green" title="E39">A16</font></i>: 
not <font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c12">d</font>,<font color="Maroon" title="c2">o</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a> 
 <b>by </b><i><a class="txt" href="#E13:29_2"><i><font color="Green" title="E37">A14</font></i></a>, <a class="ref" href="projdes1.html#T22" target="_self" title="PROJDES1:th.22">Th22</a></i>;<br/><a NAME="E17:29_2"/>
( not <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c12">d</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a>  &amp; <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c2">o</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a>  )
 <b>by </b><i><a class="txt" href="#E1:29_2"><i><font color="Green" title="E30">A7</font></i></a>, <a class="txt" href="#E3:29_2"><i><font color="Green" title="E31">A8</font></i></a>, <a class="ref" href="projdes1.html#T11" target="_self" title="PROJDES1:th.11">Th11</a></i>;<br/><a NAME="E18:29_2"/><b>then </b><i><font color="Green" title="E40">A17</font></i>: 
not <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c12">d</font>,<font color="Maroon" title="c2">o</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a> 
 <b>by </b><i><a class="txt" href="#E13:29_2"><i><font color="Green" title="E37">A14</font></i></a>, <a class="ref" href="projdes1.html#T22" target="_self" title="PROJDES1:th.22">Th22</a></i>;<br/><a NAME="E19:29_2"/><b>then </b><i><font color="Green" title="E41">A18</font></i>: 
not <font color="Maroon" title="c14">s</font>,<font color="Maroon" title="c15">t</font>,<font color="Maroon" title="c16">u</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> 
 <b>by </b><i><a class="txt" href="#E1:29"><i><font color="Green" title="E25">A1</font></i></a>, <a class="txt" href="#E3:29"><i><font color="Green" title="E27">A3</font></i></a>, <a class="txt" href="#E1:29_2"><i><font color="Green" title="E30">A7</font></i></a>, <a class="txt" href="#E3:29_2"><i><font color="Green" title="E31">A8</font></i></a>, <a class="txt" href="#E5:29_2"><i><font color="Green" title="E32">A9</font></i></a>, <a class="txt" href="#E8:29_2"><i><font color="Green" title="E34">A11</font></i></a>, <a class="txt" href="#E10:29_2"><i><font color="Green" title="E35">A12</font></i></a>, <a class="txt" href="#E12:29_2"><i><font color="Green" title="E36">A13</font></i></a>, <a class="txt" href="#E14:29_2"><i><font color="Green" title="E38">A15</font></i></a>, <a class="txt" href="#E16:29_2"><i><font color="Green" title="E39">A16</font></i></a>, <a class="ref" href="projdes1.html#T24" target="_self" title="PROJDES1:th.24">Th24</a></i>;<br/><a NAME="E20:29_2"/>
not <font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c4">b'</font>,<font color="Maroon" title="c13">d'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> 
 <b>by </b><i><a class="txt" href="#E1:29"><i><font color="Green" title="E25">A1</font></i></a>, <a class="txt" href="#E3:29"><i><font color="Green" title="E27">A3</font></i></a>, <a class="txt" href="#E5:29_2"><i><font color="Green" title="E32">A9</font></i></a>, <a class="txt" href="#E14:29_2"><i><font color="Green" title="E38">A15</font></i></a>, <a class="ref" href="projdes1.html#T23" target="_self" title="PROJDES1:th.23">Th23</a></i>;<br/><a NAME="E21:29_2"/><b>then </b>
<font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c15">t</font>,<font color="Maroon" title="c14">s</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> 
 <b>by </b><i><a class="txt" href="#E1:29"><i><font color="Green" title="E25">A1</font></i></a>, <a class="txt" href="#E3:29"><i><font color="Green" title="E27">A3</font></i></a>, <a class="txt" href="#E8:29_2"><i><font color="Green" title="E34">A11</font></i></a>, <a class="txt" href="#E10:29_2"><i><font color="Green" title="E35">A12</font></i></a>, <a class="txt" href="#E14:29_2"><i><font color="Green" title="E38">A15</font></i></a>, <a class="ref" href="projdes1.html#T21" target="_self" title="PROJDES1:th.21">Th21</a></i>;<br/><a NAME="E22:29_2"/><b>then </b><i><font color="Green" title="E42">A19</font></i>: 
<font color="Maroon" title="c15">t</font>,<font color="Maroon" title="c14">s</font>,<font color="Maroon" title="c9">p</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> 
 <b>by </b><i><a class="ref" href="projdes1.html#T1" target="_self" title="PROJDES1:th.1">Th1</a></i>;<br/><a NAME="E23:29_2"/>
not <font color="Maroon" title="c4">b'</font>,<font color="Maroon" title="c5">c'</font>,<font color="Maroon" title="c13">d'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> 
 <b>by </b><i><a class="txt" href="#E1:29"><i><font color="Green" title="E25">A1</font></i></a>, <a class="txt" href="#E3:29"><i><font color="Green" title="E27">A3</font></i></a>, <a class="txt" href="#E5:29_2"><i><font color="Green" title="E32">A9</font></i></a>, <a class="txt" href="#E16:29_2"><i><font color="Green" title="E39">A16</font></i></a>, <a class="ref" href="projdes1.html#T23" target="_self" title="PROJDES1:th.23">Th23</a></i>;<br/><a NAME="E24:29_2"/><b>then </b>
<font color="Maroon" title="c10">q</font>,<font color="Maroon" title="c16">u</font>,<font color="Maroon" title="c15">t</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> 
 <b>by </b><i><a class="txt" href="#E1:29"><i><font color="Green" title="E25">A1</font></i></a>, <a class="txt" href="#E3:29"><i><font color="Green" title="E27">A3</font></i></a>, <a class="txt" href="#E10:29_2"><i><font color="Green" title="E35">A12</font></i></a>, <a class="txt" href="#E12:29_2"><i><font color="Green" title="E36">A13</font></i></a>, <a class="txt" href="#E16:29_2"><i><font color="Green" title="E39">A16</font></i></a>, <a class="ref" href="projdes1.html#T21" target="_self" title="PROJDES1:th.21">Th21</a></i>;<br/><a NAME="E25:29_2"/><b>then </b><i><font color="Green" title="E43">A20</font></i>: 
<font color="Maroon" title="c16">u</font>,<font color="Maroon" title="c15">t</font>,<font color="Maroon" title="c10">q</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> 
 <b>by </b><i><a class="ref" href="projdes1.html#T1" target="_self" title="PROJDES1:th.1">Th1</a></i>;<br/><a NAME="E26:29_2"/>
not <font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c5">c'</font>,<font color="Maroon" title="c13">d'</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> 
 <b>by </b><i><a class="txt" href="#E1:29"><i><font color="Green" title="E25">A1</font></i></a>, <a class="txt" href="#E3:29"><i><font color="Green" title="E27">A3</font></i></a>, <a class="txt" href="#E5:29_2"><i><font color="Green" title="E32">A9</font></i></a>, <a class="txt" href="#E18:29_2"><i><font color="Green" title="E40">A17</font></i></a>, <a class="ref" href="projdes1.html#T23" target="_self" title="PROJDES1:th.23">Th23</a></i>;<br/><a NAME="E27:29_2"/><b>then </b>
<font color="Maroon" title="c11">r</font>,<font color="Maroon" title="c16">u</font>,<font color="Maroon" title="c14">s</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> 
 <b>by </b><i><a class="txt" href="#E1:29"><i><font color="Green" title="E25">A1</font></i></a>, <a class="txt" href="#E3:29"><i><font color="Green" title="E27">A3</font></i></a>, <a class="txt" href="#E8:29_2"><i><font color="Green" title="E34">A11</font></i></a>, <a class="txt" href="#E12:29_2"><i><font color="Green" title="E36">A13</font></i></a>, <a class="txt" href="#E18:29_2"><i><font color="Green" title="E40">A17</font></i></a>, <a class="ref" href="projdes1.html#T21" target="_self" title="PROJDES1:th.21">Th21</a></i>;<br/><a NAME="E28:29_2"/><b>then </b><i><font color="Green" title="E44">A21</font></i>: 
<font color="Maroon" title="c14">s</font>,<font color="Maroon" title="c16">u</font>,<font color="Maroon" title="c11">r</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> 
 <b>by </b><i><a class="ref" href="projdes1.html#T1" target="_self" title="PROJDES1:th.1">Th1</a></i>;<br/><a NAME="E29:29_2"/><i><font color="Green" title="E45">A22</font></i>: 
( <font color="Maroon" title="c12">d</font>,<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c14">s</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c13">d'</font>,<font color="Maroon" title="c3">a'</font>,<font color="Maroon" title="c14">s</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a>  )
 <b>by </b><i><a class="txt" href="#E8:29_2"><i><font color="Green" title="E34">A11</font></i></a>, <a class="ref" href="projdes1.html#T1" target="_self" title="PROJDES1:th.1">Th1</a></i>;<br/><a NAME="E30:29_2"/>
not <font color="Maroon" title="c12">d</font>,<font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c6">a</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> 
 <b>by </b><i><a class="txt" href="#E14:29_2"><i><font color="Green" title="E38">A15</font></i></a>, <a class="ref" href="projdes1.html#T10" target="_self" title="PROJDES1:th.10">Th10</a></i>;<br/><a NAME="E31:29_2"/><b>then </b>
not <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c12">d</font>,<font color="Maroon" title="c6">a</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> 
 <b>by </b><i><a class="ref" href="projdes1.html#T1" target="_self" title="PROJDES1:th.1">Th1</a></i>;<br/><a NAME="E32:29_2"/><b>then </b>
<font color="Maroon" title="c14">s</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c6">a</font>
 <b>by </b><i><a class="txt" href="#E1:29"><i><font color="Green" title="E25">A1</font></i></a>, <a class="txt" href="#E3:29"><i><font color="Green" title="E27">A3</font></i></a>, <a class="txt" href="#E5:29_2"><i><font color="Green" title="E32">A9</font></i></a>, <a class="txt" href="#E29:29_2"><i><font color="Green" title="E45">A22</font></i></a>, <a class="ref" href="projdes1.html#T8" target="_self" title="PROJDES1:th.8">Th8</a></i>;<br/><a NAME="E33:29_2"/><b>then </b><i><font color="Green" title="E46">A23</font></i>: 
not <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c14">s</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a> 
 <b>by </b><i><a class="txt" href="#E3:29_2"><i><font color="Green" title="E31">A8</font></i></a>, <a class="txt" href="#E29:29_2"><i><font color="Green" title="E45">A22</font></i></a>, <a class="ref" href="projdes1.html#T19" target="_self" title="PROJDES1:th.19">Th19</a></i>;<br/><a NAME="E34:29_2"/><i><font color="Green" title="E47">A24</font></i>: 
( <font color="Maroon" title="c6">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c7">b</font> &amp; <font color="Maroon" title="c7">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">c</font> &amp; <font color="Maroon" title="c8">c</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c6">a</font> &amp; <font color="Maroon" title="c14">s</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c15">t</font> &amp; <font color="Maroon" title="c15">t</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c16">u</font> &amp; <font color="Maroon" title="c16">u</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c14">s</font> )
 <b>by </b><i><a class="txt" href="#E4:29"><i><font color="Green" title="E28">A4</font></i></a>, <a class="txt" href="#E19:29_2"><i><font color="Green" title="E41">A18</font></i></a>, <a class="ref" href="anproj_2.html#D7" title="ANPROJ_2:def.7">ANPROJ_2:def 7</a></i>;<br/><a NAME="E35:29_2"/><i><font color="Green" title="E48">A25</font></i>: 
( <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c6">a</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a>  &amp; <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c7">b</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a>  &amp; <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c8">c</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a>  &amp; <font color="Maroon" title="c14">s</font>,<font color="Maroon" title="c15">t</font>,<font color="Maroon" title="c16">u</font>,<font color="Maroon" title="c14">s</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a>  &amp; <font color="Maroon" title="c14">s</font>,<font color="Maroon" title="c15">t</font>,<font color="Maroon" title="c16">u</font>,<font color="Maroon" title="c15">t</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a>  &amp; <font color="Maroon" title="c14">s</font>,<font color="Maroon" title="c15">t</font>,<font color="Maroon" title="c16">u</font>,<font color="Maroon" title="c16">u</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a>  )
 <b>by </b><i><a class="ref" href="projdes1.html#T18" target="_self" title="PROJDES1:th.18">Th18</a></i>;<br/><a NAME="E36:29_2"/><b>then </b><i><font color="Green" title="E49">A26</font></i>: 
( <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c9">p</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a>  &amp; <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c10">q</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a>  &amp; <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c11">r</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a>  )
 <b>by </b><i><a class="txt" href="#E3:29"><i><font color="Green" title="E27">A3</font></i></a>, <a class="txt" href="#E34:29_2"><i><font color="Green" title="E47">A24</font></i></a>, <a class="ref" href="projdes1.html#T14" target="_self" title="PROJDES1:th.14">Th14</a></i>;<br/><a NAME="E37:29_2"/>
( <font color="Maroon" title="c14">s</font>,<font color="Maroon" title="c15">t</font>,<font color="Maroon" title="c16">u</font>,<font color="Maroon" title="c9">p</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a>  &amp; <font color="Maroon" title="c14">s</font>,<font color="Maroon" title="c15">t</font>,<font color="Maroon" title="c16">u</font>,<font color="Maroon" title="c10">q</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a>  &amp; <font color="Maroon" title="c14">s</font>,<font color="Maroon" title="c15">t</font>,<font color="Maroon" title="c16">u</font>,<font color="Maroon" title="c11">r</font> <a href="projdes1.html#R1" title="PROJDES1:pred.1">are_coplanar</a>  )
 <b>by </b><i><a class="txt" href="#E22:29_2"><i><font color="Green" title="E42">A19</font></i></a>, <a class="txt" href="#E25:29_2"><i><font color="Green" title="E43">A20</font></i></a>, <a class="txt" href="#E28:29_2"><i><font color="Green" title="E44">A21</font></i></a>, <a class="txt" href="#E34:29_2"><i><font color="Green" title="E47">A24</font></i></a>, <a class="txt" href="#E35:29_2"><i><font color="Green" title="E48">A25</font></i></a>, <a class="ref" href="projdes1.html#T14" target="_self" title="PROJDES1:th.14">Th14</a></i>;<br/><b>hence </b><a NAME="E38:29_2"/>
<font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c10">q</font>,<font color="Maroon" title="c11">r</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> 
 <b>by </b><i><a class="txt" href="#E4:29"><i><font color="Green" title="E28">A4</font></i></a>, <a class="txt" href="#E19:29_2"><i><font color="Green" title="E41">A18</font></i></a>, <a class="txt" href="#E33:29_2"><i><font color="Green" title="E46">A23</font></i></a>, <a class="txt" href="#E36:29_2"><i><font color="Green" title="E49">A26</font></i></a>, <a class="ref" href="projdes1.html#T20" target="_self" title="PROJDES1:th.20">Th20</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/></div><b>end;</b></div>
<b>hence </b><a NAME="E7:29"/>
<font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c10">q</font>,<font color="Maroon" title="c11">r</font> <a href="collsp.html#R1" title="COLLSP:pred.1">is_collinear</a> 
 <b>by </b><i><a class="txt" href="#E5:29"><i><font color="Green" title="E29">A5</font></i></a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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