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

<b>let </b><font color="Maroon" title="c1">S</font> be   <a href="analoaf.html#NM1" title="ANALOAF:NM.1">OAffinSpace</a>;<br/><b>let </b><font color="Maroon" title="c2">x</font>, <font color="Maroon" title="c3">y</font>, <font color="Maroon" title="c4">t</font>, <font color="Maroon" title="c5">z</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">S</font>;<br/>









<b>assume </b><a NAME="E1:22"/><i><font color="Green" title="E13">A1</font></i>: 
(  <a href="diraf.html#R1" title="DIRAF:pred.1">Mid</a> <font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c3">y</font>,<font color="Maroon" title="c4">t</font> &amp;  <a href="diraf.html#R1" title="DIRAF:pred.1">Mid</a> <font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c5">z</font>,<font color="Maroon" title="c4">t</font> )
 ;<br/>

<a NAME="E2:22"/><b>then </b><i><font color="Green" title="E14">A2</font></i>: 
( <font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c3">y</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c3">y</font>,<font color="Maroon" title="c4">t</font> &amp; <font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c5">z</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">z</font>,<font color="Maroon" title="c4">t</font> )
 
<b>by </b><i><a class="ref" href="diraf.html#D3" target="_self" title="DIRAF:def.3">Def3</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="22_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:22_1"/><i><font color="Green" title="E15">A3</font></i>: 
<font color="Maroon" title="c2">x</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">t</font>
 ;<br/><a NAME="E2:22_1"/>
( <font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c3">y</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c4">t</font> &amp; <font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c5">z</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c4">t</font> )
 <b>by </b><i><a class="txt" href="diraf.html#E2:22"><i><font color="Green" title="E14">A2</font></i></a>, <a class="ref" href="analoaf.html#D5" title="ANALOAF:def.5">ANALOAF:def 5</a></i>;<br/><a NAME="E3:22_1"/><b>then </b>
( <font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c3">y</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c4">t</font> &amp; <font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c4">t</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c5">z</font> )
 <b>by </b><i><a class="ref" href="diraf.html#T5" target="_self" title="DIRAF:th.5">Th5</a></i>;<br/><a NAME="E4:22_1"/><b>then </b>
<font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c3">y</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c5">z</font>
 <b>by </b><i><a class="txt" href="diraf.html#E1:22_1"><i><font color="Green" title="E15">A3</font></i></a>, <a class="ref" href="diraf.html#T6" target="_self" title="DIRAF:th.6">Th6</a></i>;<br/><b>hence </b><a NAME="E5:22_1"/>
(  <a href="diraf.html#R1" title="DIRAF:pred.1">Mid</a> <font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c3">y</font>,<font color="Maroon" title="c5">z</font> or  <a href="diraf.html#R1" title="DIRAF:pred.1">Mid</a> <font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c5">z</font>,<font color="Maroon" title="c3">y</font> )
 <b>by </b><i><a class="ref" href="diraf.html#T11" target="_self" title="DIRAF:th.11">Th11</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:22"/>
(  <a href="diraf.html#R1" title="DIRAF:pred.1">Mid</a> <font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c3">y</font>,<font color="Maroon" title="c5">z</font> or  <a href="diraf.html#R1" title="DIRAF:pred.1">Mid</a> <font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c5">z</font>,<font color="Maroon" title="c3">y</font> )
 <b>by </b><i><a class="txt" href="diraf.html#E1:22"><i><font color="Green" title="E13">A1</font></i></a>, <a class="ref" href="diraf.html#T12" target="_self" title="DIRAF:th.12">Th12</a></i>;<br/>


</div>
