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

<b>let </b><font color="Maroon">S</font> be   <a href="analoaf.html#NM1">OAffinSpace</a>;<br/><b>let </b><font color="Maroon">x</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">S</font>;<br/><b>let </b><font color="Maroon">y</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">S</font>;<br/><b>let </b><font color="Maroon">z</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">S</font>;<br/>







<b>assume </b><a NAME="E1:28"/><i><font color="Green">E21</font></i>: 
<font color="Maroon">x</font>,<font color="Maroon">y</font> <a href="diraf.html#R2" target="_self">'||'</a> <font color="Maroon">x</font>,<font color="Maroon">z</font>
 ;<br/>

<div><i><font color="Green">E26</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="28_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:28_1"/><i><font color="Green">E27</font></i>: 
<font color="Maroon">x</font>,<font color="Maroon">y</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">x</font>,<font color="Maroon">z</font>
 ;<br/><div><i><font color="Green">E29</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="28_1_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:28_1_1"/>
<font color="Maroon">x</font>,<font color="Maroon">y</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">y</font>,<font color="Maroon">z</font>
 ;<br/><a NAME="E2:28_1_1"/><b>then </b>
<font color="Maroon">y</font>,<font color="Maroon">x</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">z</font>,<font color="Maroon">y</font>
 <b>by </b><i><a class="ref" href="analoaf.html#D5">ANALOAF:def 5</a></i>;<br/><b>hence </b><a NAME="E3:28_1_1"/>
<font color="Maroon">y</font>,<font color="Maroon">x</font> <a href="diraf.html#R2" target="_self">'||'</a> <font color="Maroon">y</font>,<font color="Maroon">z</font>
 <b>by </b><i/>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="28_1_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:28_1_2"/>
<font color="Maroon">x</font>,<font color="Maroon">z</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">z</font>,<font color="Maroon">y</font>
 ;<br/><a NAME="E2:28_1_2"/><b>then </b>
<font color="Maroon">y</font>,<font color="Maroon">z</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">z</font>,<font color="Maroon">x</font>
 <b>by </b><i/>;<br/><a NAME="E3:28_1_2"/><b>then </b>
<font color="Maroon">y</font>,<font color="Maroon">z</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">y</font>,<font color="Maroon">x</font>
 <b>by </b><i><a class="ref" href="analoaf.html#D5">ANALOAF:def 5</a></i>;<br/><a NAME="E4:28_1_2"/><b>then </b>
<font color="Maroon">y</font>,<font color="Maroon">x</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">y</font>,<font color="Maroon">z</font>
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E5:28_1_2"/>
<font color="Maroon">y</font>,<font color="Maroon">x</font> <a href="diraf.html#R2" target="_self">'||'</a> <font color="Maroon">y</font>,<font color="Maroon">z</font>
 <b>by </b><i/>;<br/></div><b>end;</b></div><b>hence </b><a NAME="E4:28_1"/>
<font color="Maroon">y</font>,<font color="Maroon">x</font> <a href="diraf.html#R2" target="_self">'||'</a> <font color="Maroon">y</font>,<font color="Maroon">z</font>
 <b>by </b><i>, <a class="txt" href="diraf.html#E1:28"><i><font color="Green">E21</font></i></a>, <a class="ref" href="analoaf.html#D5">ANALOAF:def 5</a></i>;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="28_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:28_2"/>
<font color="Maroon">x</font>,<font color="Maroon">y</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">z</font>,<font color="Maroon">x</font>
 ;<br/><a NAME="E2:28_2"/><b>then </b>
<font color="Maroon">y</font>,<font color="Maroon">x</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">x</font>,<font color="Maroon">z</font>
 <b>by </b><i><a class="ref" href="analoaf.html#D5">ANALOAF:def 5</a></i>;<br/><a NAME="E3:28_2"/><b>then </b>
<font color="Maroon">y</font>,<font color="Maroon">x</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">y</font>,<font color="Maroon">z</font>
 <b>by </b><i><a class="ref" href="analoaf.html#D5">ANALOAF:def 5</a></i>;<br/><b>hence </b><a NAME="E4:28_2"/>
<font color="Maroon">y</font>,<font color="Maroon">x</font> <a href="diraf.html#R2" target="_self">'||'</a> <font color="Maroon">y</font>,<font color="Maroon">z</font>
 <b>by </b><i/>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:28"/>
<font color="Maroon">y</font>,<font color="Maroon">x</font> <a href="diraf.html#R2" target="_self">'||'</a> <font color="Maroon">y</font>,<font color="Maroon">z</font>
 <b>by </b><i><a class="ref" href="diraf.html#D1" target="_self">Def1</a>, , </i>;<br/>


</div>
