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<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">a</font>, <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">c</font>, <font color="Olive" title="b4">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">a</font>,<font color="Olive" title="b2">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b3">c</font>,<font color="Olive" title="b4">d</font> holds <br/>( <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b4">d</font>,<font color="Olive" title="b3">c</font> &amp; <font color="Olive" title="b2">b</font>,<font color="Olive" title="b1">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b3">c</font>,<font color="Olive" title="b4">d</font> &amp; <font color="Olive" title="b2">b</font>,<font color="Olive" title="b1">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b4">d</font>,<font color="Olive" title="b3">c</font> &amp; <font color="Olive" title="b3">c</font>,<font color="Olive" title="b4">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font> &amp; <font color="Olive" title="b3">c</font>,<font color="Olive" title="b4">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b2">b</font>,<font color="Olive" title="b1">a</font> &amp; <font color="Olive" title="b4">d</font>,<font color="Olive" title="b3">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font> &amp; <font color="Olive" title="b4">d</font>,<font color="Olive" title="b3">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b2">b</font>,<font color="Olive" title="b1">a</font> )</span><br/><b>let </b><font color="Maroon" title="c8">a</font>, <font color="Maroon" title="c9">b</font>, <font color="Maroon" title="c10">c</font>, <font color="Maroon" title="c11">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">a</font>,<font color="Maroon" title="c9">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c10">c</font>,<font color="Maroon" title="c11">d</font> implies ( <font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c9">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">d</font>,<font color="Maroon" title="c10">c</font> &amp; <font color="Maroon" title="c9">b</font>,<font color="Maroon" title="c8">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c10">c</font>,<font color="Maroon" title="c11">d</font> &amp; <font color="Maroon" title="c9">b</font>,<font color="Maroon" title="c8">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">d</font>,<font color="Maroon" title="c10">c</font> &amp; <font color="Maroon" title="c10">c</font>,<font color="Maroon" title="c11">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c9">b</font> &amp; <font color="Maroon" title="c10">c</font>,<font color="Maroon" title="c11">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c9">b</font>,<font color="Maroon" title="c8">a</font> &amp; <font color="Maroon" title="c11">d</font>,<font color="Maroon" title="c10">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c9">b</font> &amp; <font color="Maroon" title="c11">d</font>,<font color="Maroon" title="c10">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c9">b</font>,<font color="Maroon" title="c8">a</font> ) )</span><br/>









<b>assume </b><a NAME="E1:91"/><i><font color="Green" title="E68">A1</font></i>: 
<font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c9">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c10">c</font>,<font color="Maroon" title="c11">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="c8">a</font>,<font color="Maroon" title="c9">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">d</font>,<font color="Maroon" title="c10">c</font> &amp; <font color="Maroon" title="c9">b</font>,<font color="Maroon" title="c8">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c10">c</font>,<font color="Maroon" title="c11">d</font> &amp; <font color="Maroon" title="c9">b</font>,<font color="Maroon" title="c8">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">d</font>,<font color="Maroon" title="c10">c</font> &amp; <font color="Maroon" title="c10">c</font>,<font color="Maroon" title="c11">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c9">b</font> &amp; <font color="Maroon" title="c10">c</font>,<font color="Maroon" title="c11">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c9">b</font>,<font color="Maroon" title="c8">a</font> &amp; <font color="Maroon" title="c11">d</font>,<font color="Maroon" title="c10">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c9">b</font> &amp; <font color="Maroon" title="c11">d</font>,<font color="Maroon" title="c10">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c9">b</font>,<font color="Maroon" title="c8">a</font> )</span><br/>

<b>reconsider </b><font color="Maroon" title="c12">a'</font> = <font color="Maroon" title="c8">a</font>, <font color="Maroon" title="c13">b'</font> = <font color="Maroon" title="c9">b</font>, <font color="Maroon" title="c14">c'</font> = <font color="Maroon" title="c10">c</font>, <font color="Maroon" title="c15">d'</font> = <font color="Maroon" title="c11">d</font> as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</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="E3:91"/>
<font color="Maroon" title="c12">a'</font>,<font color="Maroon" title="c13">b'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">c'</font>,<font color="Maroon" title="c15">d'</font>
 
<b>by </b><i><a class="txt" href="#E1:91"><i><font color="Green" title="E68">A1</font></i></a>, <a class="ref" href="analmetr.html#T48" target="_self" title="ANALMETR:th.48">Th48</a></i>;<br/>
<a NAME="E4:91"/><b>then </b>
( <font color="Maroon" title="c12">a'</font>,<font color="Maroon" title="c13">b'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c15">d'</font>,<font color="Maroon" title="c14">c'</font> &amp; <font color="Maroon" title="c13">b'</font>,<font color="Maroon" title="c12">a'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">c'</font>,<font color="Maroon" title="c15">d'</font> &amp; <font color="Maroon" title="c13">b'</font>,<font color="Maroon" title="c12">a'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c15">d'</font>,<font color="Maroon" title="c14">c'</font> &amp; <font color="Maroon" title="c14">c'</font>,<font color="Maroon" title="c15">d'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c12">a'</font>,<font color="Maroon" title="c13">b'</font> &amp; <font color="Maroon" title="c14">c'</font>,<font color="Maroon" title="c15">d'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c13">b'</font>,<font color="Maroon" title="c12">a'</font> &amp; <font color="Maroon" title="c15">d'</font>,<font color="Maroon" title="c14">c'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c12">a'</font>,<font color="Maroon" title="c13">b'</font> &amp; <font color="Maroon" title="c15">d'</font>,<font color="Maroon" title="c14">c'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c13">b'</font>,<font color="Maroon" title="c12">a'</font> )
 
<b>by </b><i><a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/>
<b>hence </b><a NAME="E5:91"/>
( <font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c9">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">d</font>,<font color="Maroon" title="c10">c</font> &amp; <font color="Maroon" title="c9">b</font>,<font color="Maroon" title="c8">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c10">c</font>,<font color="Maroon" title="c11">d</font> &amp; <font color="Maroon" title="c9">b</font>,<font color="Maroon" title="c8">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c11">d</font>,<font color="Maroon" title="c10">c</font> &amp; <font color="Maroon" title="c10">c</font>,<font color="Maroon" title="c11">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c9">b</font> &amp; <font color="Maroon" title="c10">c</font>,<font color="Maroon" title="c11">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c9">b</font>,<font color="Maroon" title="c8">a</font> &amp; <font color="Maroon" title="c11">d</font>,<font color="Maroon" title="c10">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c9">b</font> &amp; <font color="Maroon" title="c11">d</font>,<font color="Maroon" title="c10">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c9">b</font>,<font color="Maroon" title="c8">a</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/>


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