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

<b>let </b><font color="Maroon" title="c7">POS</font> be   <a href="analmetr.html#NM1" title="ANALMETR:NM.1">OrtAfSp</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">p</font>, <font color="Olive" title="b2">q</font>, <font color="Olive" title="b3">a</font>, <font color="Olive" title="b4">b</font>, <font color="Olive" title="b5">c</font>, <font color="Olive" title="b6">d</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c7">POS</font>  st <font color="Olive" title="b1">p</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">q</font> &amp; ( ( <font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">b</font> &amp; <font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b5">c</font>,<font color="Olive" title="b6">d</font> ) or ( <font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">b</font> &amp; <font color="Olive" title="b5">c</font>,<font color="Olive" title="b6">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">q</font> ) or ( <font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">q</font> &amp; <font color="Olive" title="b5">c</font>,<font color="Olive" title="b6">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">q</font> ) or ( <font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">q</font> &amp; <font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b5">c</font>,<font color="Olive" title="b6">d</font> ) ) holds <br/><font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b5">c</font>,<font color="Olive" title="b6">d</font></span><br/><b>let </b><font color="Maroon" title="c8">p</font>, <font color="Maroon" title="c9">q</font>, <font color="Maroon" title="c10">a</font>, <font color="Maroon" title="c11">b</font>, <font color="Maroon" title="c12">c</font>, <font color="Maroon" title="c13">d</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c7">POS</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c8">p</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">q</font> &amp; ( ( <font color="Maroon" title="c8">p</font>,<font color="Maroon" title="c9">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c11">b</font> &amp; <font color="Maroon" title="c8">p</font>,<font color="Maroon" title="c9">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c12">c</font>,<font color="Maroon" title="c13">d</font> ) or ( <font color="Maroon" title="c8">p</font>,<font color="Maroon" title="c9">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c11">b</font> &amp; <font color="Maroon" title="c12">c</font>,<font color="Maroon" title="c13">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">p</font>,<font color="Maroon" title="c9">q</font> ) or ( <font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c11">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">p</font>,<font color="Maroon" title="c9">q</font> &amp; <font color="Maroon" title="c12">c</font>,<font color="Maroon" title="c13">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">p</font>,<font color="Maroon" title="c9">q</font> ) or ( <font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c11">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">p</font>,<font color="Maroon" title="c9">q</font> &amp; <font color="Maroon" title="c8">p</font>,<font color="Maroon" title="c9">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c12">c</font>,<font color="Maroon" title="c13">d</font> ) ) implies <font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c11">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c12">c</font>,<font color="Maroon" title="c13">d</font> )</span><br/>













<b>assume </b><b>that </b><br/><a NAME="E1:92"/><i><font color="Green" title="E68">A1</font></i>: 
<font color="Maroon" title="c8">p</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">q</font>
 <b>and </b><br/><a NAME="E2:92"/><i><font color="Green" title="E69">A2</font></i>: 
( ( <font color="Maroon" title="c8">p</font>,<font color="Maroon" title="c9">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c11">b</font> &amp; <font color="Maroon" title="c8">p</font>,<font color="Maroon" title="c9">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c12">c</font>,<font color="Maroon" title="c13">d</font> ) or ( <font color="Maroon" title="c8">p</font>,<font color="Maroon" title="c9">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c11">b</font> &amp; <font color="Maroon" title="c12">c</font>,<font color="Maroon" title="c13">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">p</font>,<font color="Maroon" title="c9">q</font> ) or ( <font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c11">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">p</font>,<font color="Maroon" title="c9">q</font> &amp; <font color="Maroon" title="c12">c</font>,<font color="Maroon" title="c13">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">p</font>,<font color="Maroon" title="c9">q</font> ) or ( <font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c11">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">p</font>,<font color="Maroon" title="c9">q</font> &amp; <font color="Maroon" title="c8">p</font>,<font color="Maroon" title="c9">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c12">c</font>,<font color="Maroon" title="c13">d</font> ) )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c11">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c12">c</font>,<font color="Maroon" title="c13">d</font></span><br/>

<b>reconsider </b><font color="Maroon" title="c14">p'</font> = <font color="Maroon" title="c8">p</font>, <font color="Maroon" title="c15">q'</font> = <font color="Maroon" title="c9">q</font>, <font color="Maroon" title="c16">a'</font> = <font color="Maroon" title="c10">a</font>, <font color="Maroon" title="c17">b'</font> = <font color="Maroon" title="c11">b</font>, <font color="Maroon" title="c18">c'</font> = <font color="Maroon" title="c12">c</font>, <font color="Maroon" title="c19">d'</font> = <font color="Maroon" title="c13">d</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K3" title="ANALMETR:func.3">Af</a> <font color="Maroon" title="c7">POS</font></span>)</span> ;<br/>
<a NAME="E4:92"/>
( ( <font color="Maroon" title="c14">p'</font>,<font color="Maroon" title="c15">q'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c16">a'</font>,<font color="Maroon" title="c17">b'</font> &amp; <font color="Maroon" title="c14">p'</font>,<font color="Maroon" title="c15">q'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c18">c'</font>,<font color="Maroon" title="c19">d'</font> ) or ( <font color="Maroon" title="c14">p'</font>,<font color="Maroon" title="c15">q'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c16">a'</font>,<font color="Maroon" title="c17">b'</font> &amp; <font color="Maroon" title="c18">c'</font>,<font color="Maroon" title="c19">d'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">p'</font>,<font color="Maroon" title="c15">q'</font> ) or ( <font color="Maroon" title="c16">a'</font>,<font color="Maroon" title="c17">b'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">p'</font>,<font color="Maroon" title="c15">q'</font> &amp; <font color="Maroon" title="c18">c'</font>,<font color="Maroon" title="c19">d'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">p'</font>,<font color="Maroon" title="c15">q'</font> ) or ( <font color="Maroon" title="c16">a'</font>,<font color="Maroon" title="c17">b'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">p'</font>,<font color="Maroon" title="c15">q'</font> &amp; <font color="Maroon" title="c14">p'</font>,<font color="Maroon" title="c15">q'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c18">c'</font>,<font color="Maroon" title="c19">d'</font> ) )
 
<b>by </b><i><a class="txt" href="#E2:92"><i><font color="Green" title="E69">A2</font></i></a>, <a class="ref" href="analmetr.html#T48" target="_self" title="ANALMETR:th.48">Th48</a></i>;<br/>
<a NAME="E5:92"/><b>then </b>
<font color="Maroon" title="c16">a'</font>,<font color="Maroon" title="c17">b'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c18">c'</font>,<font color="Maroon" title="c19">d'</font>
 
<b>by </b><i><a class="txt" href="#E1:92"><i><font color="Green" title="E68">A1</font></i></a>, <a class="ref" href="aff_1.html#T14" title="AFF_1:th.14">AFF_1:14</a></i>;<br/>
<b>hence </b><a NAME="E6:92"/>
<font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c11">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c12">c</font>,<font color="Maroon" title="c13">d</font>
 <b>by </b><i><a class="ref" href="analmetr.html#T48" target="_self" title="ANALMETR:th.48">Th48</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>
