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

<b>let </b><font color="Maroon">F</font> be   <a href="vectsp_1.html#NM2">Field</a>;<br/><b>let </b><font color="Maroon">S</font> be   <a href="symsp_1.html#NM1">SymSp</a> of <font color="Maroon">F</font>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">S</font>;<br/><b>let </b><font color="Maroon">p</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">S</font>;<br/><b>let </b><font color="Maroon">q</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">S</font>;<br/><b>let </b><font color="Maroon">b</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">S</font>;<br/>











<b>assume </b><a NAME="E1:41"/><i><font color="Green">E27</font></i>: 
( <span class="p1">(<span class="default"><a href="group_1.html#K2">1.</a> <font color="Maroon">F</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><a href="group_1.html#K2">1.</a> <font color="Maroon">F</font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">F</font> &amp; not <font color="Maroon">a</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">p</font> &amp; not <font color="Maroon">a</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">q</font> &amp; not <font color="Maroon">b</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">p</font> &amp; not <font color="Maroon">b</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">q</font> )
 ;<br/>

<div><i><font color="Green">E31</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:41_1"/><i><font color="Green">E32</font></i>: 
not <font color="Maroon">p</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">q</font>
 ;<br/><a NAME="E2:41_1"/><b>then </b><i><font color="Green">E34</font></i>: 
( not <font color="Maroon">p</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">a</font> &amp; not <font color="Maroon">q</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">b</font> &amp; not <font color="Maroon">q</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">p</font> )
 <b>by </b><i>, </i>;<br/><a NAME="E3:41_1"/><b>then </b>
(  <a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">p</font>,<font color="Maroon">q</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">a</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">p</font>,<font color="Maroon">a</font></span>)</span> &amp;  <a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">q</font>,<font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">p</font>,<font color="Maroon">b</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">b</font></span>)</span> )
 <b>by </b><i>, , <a class="txt" href="symsp_1.html#E2:41_1"><i><font color="Green">E34</font></i></a></i>;<br/><b>then </b><span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">p</font>,<font color="Maroon">q</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">q</font>,<font color="Maroon">p</font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">p</font>,<font color="Maroon">a</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p3">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">a</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">p</font>,<font color="Maroon">b</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">b</font></span>)</span>
<b>by </b><i><a class="ref" href="group_1.html#D4">GROUP_1:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">p</font>,<font color="Maroon">a</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">a</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p3">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">p</font>,<font color="Maroon">b</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">b</font></span>)</span>
<b>by </b><i><a class="ref" href="group_1.html#D4">GROUP_1:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">p</font>,<font color="Maroon">a</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">p</font>,<font color="Maroon">b</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span> <a href="group_1.html#K10">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">a</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">b</font></span>)</span>
<b>by </b><i><a class="ref" href="vectsp_1.html#T42">VECTSP_1:42</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">p</font>,<font color="Maroon">a</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">p</font>,<font color="Maroon">b</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">a</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">b</font></span>)</span>
<b>by </b><i><a class="ref" href="group_1.html#D4">GROUP_1:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">b</font>,<font color="Maroon">a</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">a</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">b</font></span>)</span>
<b>by </b><i>, , <a class="txt" href="symsp_1.html#E2:41"><i><font color="Green">E31</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">b</font>,<font color="Maroon">a</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">b</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">q</font>,<font color="Maroon">a</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="group_1.html#D4">GROUP_1:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">b</font>,<font color="Maroon">a</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">a</font>,<font color="Maroon">b</font></span>)</span>
<b>by </b><i>, , <a class="txt" href="symsp_1.html#E2:41"><i><font color="Green">E31</font></i></a></i>
;<br/><b>hence </b><a NAME="E5:41_1"/>
<span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">p</font>,<font color="Maroon">q</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">q</font>,<font color="Maroon">p</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">a</font>,<font color="Maroon">b</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">b</font>,<font color="Maroon">a</font></span>)</span>
 ;<br/></div><b>end;</b></div>
<div><i><font color="Green">E35</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:41_2"/><i><font color="Green">E36</font></i>: 
not <font color="Maroon">a</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">b</font>
 ;<br/><a NAME="E2:41_2"/><b>then </b><i><font color="Green">E37</font></i>: 
( not <font color="Maroon">b</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">a</font> &amp; not <font color="Maroon">p</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">a</font> &amp; not <font color="Maroon">q</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">a</font> &amp; not <font color="Maroon">p</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">b</font> &amp; not <font color="Maroon">q</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">b</font> )
 <b>by </b><i><a class="txt" href="symsp_1.html#E1:41_2"><i><font color="Green">E36</font></i></a>, </i>;<br/><a NAME="E3:41_2"/><b>then </b>
(  <a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">p</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">a</font>,<font color="Maroon">p</font></span>)</span> &amp;  <a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">b</font>,<font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">a</font>,<font color="Maroon">q</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">q</font></span>)</span> )
 <b>by </b><i>, </i>;<br/><b>then </b><span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">a</font>,<font color="Maroon">b</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">b</font>,<font color="Maroon">a</font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">a</font>,<font color="Maroon">p</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p3">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">p</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">a</font>,<font color="Maroon">q</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">q</font></span>)</span>
<b>by </b><i><a class="ref" href="group_1.html#D4">GROUP_1:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">a</font>,<font color="Maroon">p</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">p</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p3">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">a</font>,<font color="Maroon">q</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">q</font></span>)</span>
<b>by </b><i><a class="ref" href="group_1.html#D4">GROUP_1:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">a</font>,<font color="Maroon">p</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">a</font>,<font color="Maroon">q</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span> <a href="group_1.html#K10">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">p</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">q</font></span>)</span>
<b>by </b><i><a class="ref" href="vectsp_1.html#T42">VECTSP_1:42</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">a</font>,<font color="Maroon">p</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">a</font>,<font color="Maroon">q</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">p</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">q</font></span>)</span>
<b>by </b><i><a class="ref" href="group_1.html#D4">GROUP_1:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">q</font>,<font color="Maroon">p</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">p</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">q</font></span>)</span>
<b>by </b><i>, <a class="txt" href="symsp_1.html#E7"><i><font color="Green">Lemma40</font></i></a>, <a class="txt" href="symsp_1.html#E2:41"><i><font color="Green">E31</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">q</font>,<font color="Maroon">p</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">q</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">p</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="group_1.html#D4">GROUP_1:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">q</font>,<font color="Maroon">p</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">p</font>,<font color="Maroon">q</font></span>)</span>
<b>by </b><i><a class="txt" href="symsp_1.html#E7"><i><font color="Green">Lemma40</font></i></a>, <a class="txt" href="symsp_1.html#E2:41"><i><font color="Green">E31</font></i></a></i>
;<br/><b>hence </b><a NAME="E5:41_2"/>
<span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">p</font>,<font color="Maroon">q</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">q</font>,<font color="Maroon">p</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">a</font>,<font color="Maroon">b</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">b</font>,<font color="Maroon">a</font></span>)</span>
 ;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="41_3"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:41_3"/><i><font color="Green">E38</font></i>: 
( <font color="Maroon">p</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">q</font> &amp; <font color="Maroon">a</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">b</font> )
 ;<br/><a NAME="E2:41_3"/><b>then </b><i><font color="Green">E39</font></i>: 
( <font color="Maroon">q</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">p</font> &amp; <font color="Maroon">b</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">a</font> &amp; not <font color="Maroon">p</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">a</font> &amp; not <font color="Maroon">q</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">a</font> &amp; not <font color="Maroon">p</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">b</font> &amp; not <font color="Maroon">q</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">b</font> &amp; <font color="Maroon">a</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">a</font> )
 <b>by </b><i>, , <a class="txt" href="symsp_1.html#E4"><i><font color="Green">Lemma20</font></i></a></i>;<br/><a NAME="E3:41_3"/><b>then </b><i><font color="Green">E44</font></i>: 
(  <a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">p</font>,<font color="Maroon">q</font> <a href="hidden.html#R1">=</a>  <a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">q</font> &amp;  <a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">q</font>,<font color="Maroon">p</font> <a href="hidden.html#R1">=</a>  <a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">q</font>,<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span> )
 <b>by </b><i><a class="txt" href="symsp_1.html#E2:41_3"><i><font color="Green">E39</font></i></a>, </i>;<br/><a NAME="E4:41_3"/><i><font color="Green">E45</font></i>: 
not <font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">a</font>
 <b>by </b><i><a class="txt" href="symsp_1.html#E7"><i><font color="Green">Lemma40</font></i></a>, </i>;<br/><a NAME="E5:41_3"/><i><font color="Green">E46</font></i>: 
not <font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">q</font>
 <b>by </b><i>, <a class="txt" href="symsp_1.html#E2:41_3"><i><font color="Green">E39</font></i></a>, </i>;<br/><a NAME="E6:41_3"/><b>then </b><i><font color="Green">E47</font></i>: 
( not <font color="Maroon">a</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font> &amp; not <font color="Maroon">q</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font> &amp; not <font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">q</font> )
 <b>by </b><i>, </i>;<br/><a NAME="E7:41_3"/><b>then </b>
(  <a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">q</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">q</font>,<font color="Maroon">a</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">a</font></span>)</span> &amp;  <a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">q</font>,<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">b</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">q</font>,<font color="Maroon">b</font></span>)</span> )
 <b>by </b><i>, </i>;<br/><b>then </b><span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">p</font>,<font color="Maroon">q</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">q</font>,<font color="Maroon">p</font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">a</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p3">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <span class="p0">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">q</font>,<font color="Maroon">a</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<span class="p5">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">b</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">q</font>,<font color="Maroon">b</font></span>)</span>
<b>by </b><i>, <a class="ref" href="group_1.html#D4">GROUP_1:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">a</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <span class="p0">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">q</font>,<font color="Maroon">a</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p3">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<span class="p0">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">b</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">q</font>,<font color="Maroon">b</font></span>)</span>
<b>by </b><i><a class="ref" href="group_1.html#D4">GROUP_1:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">a</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<span class="p5">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">b</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span> <a href="group_1.html#K10">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <span class="p5">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">q</font>,<font color="Maroon">a</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">q</font>,<font color="Maroon">b</font></span>)</span>
<b>by </b><i><a class="ref" href="vectsp_1.html#T42">VECTSP_1:42</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">a</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<span class="p5">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">b</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">q</font>,<font color="Maroon">a</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">q</font>,<font color="Maroon">b</font></span>)</span>
<b>by </b><i><a class="ref" href="group_1.html#D4">GROUP_1:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">b</font>,<font color="Maroon">a</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">q</font>,<font color="Maroon">a</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">q</font>,<font color="Maroon">b</font></span>)</span>
<b>by </b><i>, , <a class="txt" href="symsp_1.html#E2:41"><i><font color="Green">E31</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">b</font>,<font color="Maroon">a</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">q</font>,<font color="Maroon">b</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">q</font>,<font color="Maroon">a</font></span>)</span> <a href="vectsp_1.html#K4">"</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="group_1.html#D4">GROUP_1:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">b</font>,<font color="Maroon">a</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">a</font></span>)</span>,<font color="Maroon">a</font>,<font color="Maroon">b</font></span>)</span>
<b>by </b><i><a class="txt" href="symsp_1.html#E3:41_3"><i><font color="Green">E44</font></i></a>, <a class="txt" href="symsp_1.html#E2:41"><i><font color="Green">E31</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">b</font>,<font color="Maroon">a</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">a</font>,<font color="Maroon">b</font></span>)</span>
<b>by </b><i>, <a class="txt" href="symsp_1.html#E2:41_3"><i><font color="Green">E39</font></i></a>, <a class="txt" href="symsp_1.html#E7"><i><font color="Green">Lemma40</font></i></a>, <a class="txt" href="symsp_1.html#E1:41"><i><font color="Green">E27</font></i></a></i>
;<br/><b>hence </b><a NAME="E9:41_3"/>
<span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">p</font>,<font color="Maroon">q</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">q</font>,<font color="Maroon">p</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">a</font>,<font color="Maroon">b</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">b</font>,<font color="Maroon">a</font></span>)</span>
 ;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E5:41"/>
<span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">a</font>,<font color="Maroon">p</font>,<font color="Maroon">q</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">b</font>,<font color="Maroon">q</font>,<font color="Maroon">p</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">p</font>,<font color="Maroon">a</font>,<font color="Maroon">b</font></span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="symsp_1.html#K1" target="_self">ProJ</a> <font color="Maroon">q</font>,<font color="Maroon">b</font>,<font color="Maroon">a</font></span>)</span>
 <b>by </b><i>, </i>;<br/>


</div>
