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<b>let </b><font color="Maroon" title="c1">MS</font> be   <a href="analmetr.html#NM2" title="ANALMETR:NM.2">OrtAfPl</a>;<br/>

<b>set </b><font color="Maroon" title="c2">AS</font> =  <a href="analmetr.html#K3" title="ANALMETR:func.3">Af</a> <font color="Maroon" title="c1">MS</font>;<br/>
<div><i><font color="Green" title="E17">A1</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="17_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:17_1"/><i><font color="Green" title="E18">A2</font></i>: 
 <a href="conmetr.html#NR2" title="CONMETR:NR.2">PAP_holds_in</a> <font color="Maroon" title="c1">MS</font>
 ;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c3">M</font>, <font color="Maroon" title="c4">N</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K3" title="ANALMETR:func.3">Af</a> <font color="Maroon" title="c1">MS</font></span>)</span>;<br/><b>let </b><font color="Maroon" title="c5">o</font>, <font color="Maroon" title="c6">a</font>, <font color="Maroon" title="c7">b</font>, <font color="Maroon" title="c8">c</font>, <font color="Maroon" title="c9">a'</font>, <font color="Maroon" title="c10">b'</font>, <font color="Maroon" title="c11">c'</font> be    <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="c1">MS</font></span>)</span>;<br/><b>assume </b><b>that </b><br/><a NAME="E1:17_1_1"/><i><font color="Green" title="E19">A3</font></i>: 
( <font color="Maroon" title="c3">M</font> <a href="aff_1.html#NR2" title="AFF_1:NR.2">is_line</a>  &amp; <font color="Maroon" title="c4">N</font> <a href="aff_1.html#NR2" title="AFF_1:NR.2">is_line</a>  )
 <b>and </b><br/><a NAME="E2:17_1_1"/><i><font color="Green" title="E20">A4</font></i>: 
<font color="Maroon" title="c3">M</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">N</font>
 <b>and </b><br/><a NAME="E3:17_1_1"/><i><font color="Green" title="E21">A5</font></i>: 
( <font color="Maroon" title="c5">o</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">M</font> &amp; <font color="Maroon" title="c5">o</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">N</font> )
 <b>and </b><br/><a NAME="E4:17_1_1"/><i><font color="Green" title="E22">A6</font></i>: 
( <font color="Maroon" title="c5">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c6">a</font> &amp; <font color="Maroon" title="c5">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">a'</font> &amp; <font color="Maroon" title="c5">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c7">b</font> &amp; <font color="Maroon" title="c5">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">b'</font> &amp; <font color="Maroon" title="c5">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">c</font> &amp; <font color="Maroon" title="c5">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c11">c'</font> )
 <b>and </b><br/><a NAME="E5:17_1_1"/><i><font color="Green" title="E23">A7</font></i>: 
( <font color="Maroon" title="c6">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">M</font> &amp; <font color="Maroon" title="c7">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">M</font> &amp; <font color="Maroon" title="c8">c</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">M</font> &amp; <font color="Maroon" title="c9">a'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">N</font> &amp; <font color="Maroon" title="c10">b'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">N</font> &amp; <font color="Maroon" title="c11">c'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">N</font> )
 <b>and </b><br/><a NAME="E6:17_1_1"/><i><font color="Green" title="E24">A8</font></i>: 
( <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c10">b'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c9">a'</font> &amp; <font color="Maroon" title="c7">b</font>,<font color="Maroon" title="c11">c'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c10">b'</font> )
 ;<br/><b>reconsider </b><font color="Maroon" title="c12">M'</font> = <font color="Maroon" title="c3">M</font>, <font color="Maroon" title="c13">N'</font> = <font color="Maroon" title="c4">N</font> as   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">MS</font> <b>by </b><i><a class="ref" href="analmetr.html#T57" title="ANALMETR:th.57">ANALMETR:57</a></i>;<br/><a NAME="E8:17_1_1"/><i><font color="Green" title="E25">A9</font></i>: 
( <font color="Maroon" title="c12">M'</font> <a href="analmetr.html#NR6" title="ANALMETR:NR.6">is_line</a>  &amp; <font color="Maroon" title="c13">N'</font> <a href="analmetr.html#NR6" title="ANALMETR:NR.6">is_line</a>  )
 <b>by </b><i><a class="txt" href="euclmetr.html#E1:17_1_1"><i><font color="Green" title="E19">A3</font></i></a>, <a class="ref" href="analmetr.html#T58" title="ANALMETR:th.58">ANALMETR:58</a></i>;<br/><b>reconsider </b><font color="Maroon" title="c14">a1</font> = <font color="Maroon" title="c6">a</font>, <font color="Maroon" title="c15">b1</font> = <font color="Maroon" title="c7">b</font>, <font color="Maroon" title="c16">c1</font> = <font color="Maroon" title="c8">c</font>, <font color="Maroon" title="c17">a1'</font> = <font color="Maroon" title="c9">a'</font>, <font color="Maroon" title="c18">b1'</font> = <font color="Maroon" title="c10">b'</font>, <font color="Maroon" title="c19">c1'</font> = <font color="Maroon" title="c11">c'</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 <font color="Maroon" title="c1">MS</font> <b>by </b><i><a class="ref" href="analmetr.html#T47" title="ANALMETR:th.47">ANALMETR:47</a></i>;<br/><a NAME="E10:17_1_1"/><i><font color="Green" title="E26">A10</font></i>: 
( not <font color="Maroon" title="c17">a1'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c12">M'</font> &amp; not <font color="Maroon" title="c15">b1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c13">N'</font> )
 <b>by </b><i><a class="txt" href="euclmetr.html#E2:17_1_1"><i><font color="Green" title="E20">A4</font></i></a>, <a class="txt" href="euclmetr.html#E3:17_1_1"><i><font color="Green" title="E21">A5</font></i></a>, <a class="txt" href="euclmetr.html#E4:17_1_1"><i><font color="Green" title="E22">A6</font></i></a>, <a class="txt" href="euclmetr.html#E5:17_1_1"><i><font color="Green" title="E23">A7</font></i></a>, <a class="txt" href="euclmetr.html#E8:17_1_1"><i><font color="Green" title="E25">A9</font></i></a>, <a class="ref" href="conmetr.html#T5" title="CONMETR:th.5">CONMETR:5</a></i>;<br/><a NAME="E11:17_1_1"/>
( <font color="Maroon" title="c14">a1</font>,<font color="Maroon" title="c18">b1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c15">b1</font>,<font color="Maroon" title="c17">a1'</font> &amp; <font color="Maroon" title="c15">b1</font>,<font color="Maroon" title="c19">c1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c16">c1</font>,<font color="Maroon" title="c18">b1'</font> )
 <b>by </b><i><a class="txt" href="euclmetr.html#E6:17_1_1"><i><font color="Green" title="E24">A8</font></i></a>, <a class="ref" href="analmetr.html#T48" title="ANALMETR:th.48">ANALMETR:48</a></i>;<br/><a NAME="E12:17_1_1"/><b>then </b>
( <font color="Maroon" title="c15">b1</font>,<font color="Maroon" title="c17">a1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">a1</font>,<font color="Maroon" title="c18">b1'</font> &amp; <font color="Maroon" title="c15">b1</font>,<font color="Maroon" title="c19">c1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c16">c1</font>,<font color="Maroon" title="c18">b1'</font> )
 <b>by </b><i><a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/><a NAME="E13:17_1_1"/><b>then </b>
<font color="Maroon" title="c16">c1</font>,<font color="Maroon" title="c17">a1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">a1</font>,<font color="Maroon" title="c19">c1'</font>
 <b>by </b><i><a class="txt" href="euclmetr.html#E1:17_1"><i><font color="Green" title="E18">A2</font></i></a>, <a class="txt" href="euclmetr.html#E3:17_1_1"><i><font color="Green" title="E21">A5</font></i></a>, <a class="txt" href="euclmetr.html#E4:17_1_1"><i><font color="Green" title="E22">A6</font></i></a>, <a class="txt" href="euclmetr.html#E5:17_1_1"><i><font color="Green" title="E23">A7</font></i></a>, <a class="txt" href="euclmetr.html#E8:17_1_1"><i><font color="Green" title="E25">A9</font></i></a>, <a class="txt" href="euclmetr.html#E10:17_1_1"><i><font color="Green" title="E26">A10</font></i></a>, <a class="ref" href="conmetr.html#D2" title="CONMETR:def.2">CONMETR:def 2</a></i>;<br/><a NAME="E14:17_1_1"/><b>then </b>
<font color="Maroon" title="c14">a1</font>,<font color="Maroon" title="c19">c1'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c16">c1</font>,<font color="Maroon" title="c17">a1'</font>
 <b>by </b><i><a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/><b>hence </b><a NAME="E15:17_1_1"/>
<font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c11">c'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">c</font>,<font color="Maroon" title="c9">a'</font>
 <b>by </b><i><a class="ref" href="analmetr.html#T48" title="ANALMETR:th.48">ANALMETR:48</a></i>;<br/></div><b>end;</b></div><b>hence </b><a NAME="E3:17_1"/>
 <a href="analmetr.html#K3" title="ANALMETR:func.3">Af</a> <font color="Maroon" title="c1">MS</font> <a href="papdesaf.html#NR1" title="PAPDESAF:NR.1">satisfies_PAP'</a> 
 <b>by </b><i><a class="ref" href="aff_2.html#D2" title="AFF_2:def.2">AFF_2:def 2</a></i>;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:17_2"/><i><font color="Green" title="E18">A11</font></i>: 
 <a href="analmetr.html#K3" title="ANALMETR:func.3">Af</a> <font color="Maroon" title="c1">MS</font> <a href="papdesaf.html#NR1" title="PAPDESAF:NR.1">satisfies_PAP'</a> 
 ;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c3">o</font>, <font color="Maroon" title="c4">a1</font>, <font color="Maroon" title="c5">a2</font>, <font color="Maroon" title="c6">a3</font>, <font color="Maroon" title="c7">b1</font>, <font color="Maroon" title="c8">b2</font>, <font color="Maroon" title="c9">b3</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">MS</font>;<br/><b>let </b><font color="Maroon" title="c10">M</font>, <font color="Maroon" title="c11">N</font> be   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">MS</font>;<br/><b>assume </b><b>that </b><br/><a NAME="E1:17_2_1"/><i><font color="Green" title="E19">A12</font></i>: 
( <font color="Maroon" title="c10">M</font> <a href="analmetr.html#NR6" title="ANALMETR:NR.6">is_line</a>  &amp; <font color="Maroon" title="c11">N</font> <a href="analmetr.html#NR6" title="ANALMETR:NR.6">is_line</a>  )
 <b>and </b><br/><a NAME="E2:17_2_1"/><i><font color="Green" title="E20">A13</font></i>: 
( <font color="Maroon" title="c3">o</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">M</font> &amp; <font color="Maroon" title="c4">a1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">M</font> &amp; <font color="Maroon" title="c5">a2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">M</font> &amp; <font color="Maroon" title="c6">a3</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">M</font> &amp; <font color="Maroon" title="c3">o</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">N</font> &amp; <font color="Maroon" title="c7">b1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">N</font> &amp; <font color="Maroon" title="c8">b2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">N</font> &amp; <font color="Maroon" title="c9">b3</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">N</font> )
 <b>and </b><br/><a NAME="E3:17_2_1"/><i><font color="Green" title="E21">A14</font></i>: 
( not <font color="Maroon" title="c8">b2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">M</font> &amp; not <font color="Maroon" title="c6">a3</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">N</font> )
 <b>and </b><br/><a NAME="E4:17_2_1"/><i><font color="Green" title="E22">A15</font></i>: 
( <font color="Maroon" title="c3">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">a1</font> &amp; <font color="Maroon" title="c3">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">a2</font> &amp; <font color="Maroon" title="c3">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c6">a3</font> &amp; <font color="Maroon" title="c3">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c7">b1</font> &amp; <font color="Maroon" title="c3">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">b2</font> &amp; <font color="Maroon" title="c3">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">b3</font> )
 <b>and </b><br/><a NAME="E5:17_2_1"/><i><font color="Green" title="E23">A16</font></i>: 
( <font color="Maroon" title="c6">a3</font>,<font color="Maroon" title="c8">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a2</font>,<font color="Maroon" title="c7">b1</font> &amp; <font color="Maroon" title="c6">a3</font>,<font color="Maroon" title="c9">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a1</font>,<font color="Maroon" title="c7">b1</font> )
 ;<br/><a NAME="E6:17_2_1"/><i><font color="Green" title="E24">A17</font></i>: 
( <font color="Maroon" title="c5">a2</font>,<font color="Maroon" title="c7">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">a3</font>,<font color="Maroon" title="c8">b2</font> &amp; <font color="Maroon" title="c6">a3</font>,<font color="Maroon" title="c9">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a1</font>,<font color="Maroon" title="c7">b1</font> )
 <b>by </b><i><a class="txt" href="euclmetr.html#E5:17_2_1"><i><font color="Green" title="E23">A16</font></i></a>, <a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/><b>reconsider </b><font color="Maroon" title="c12">M'</font> = <font color="Maroon" title="c10">M</font>, <font color="Maroon" title="c13">N'</font> = <font color="Maroon" title="c11">N</font> as   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K3" title="ANALMETR:func.3">Af</a> <font color="Maroon" title="c1">MS</font></span>)</span> <b>by </b><i><a class="ref" href="analmetr.html#T57" title="ANALMETR:th.57">ANALMETR:57</a></i>;<br/><a NAME="E8:17_2_1"/><i><font color="Green" title="E25">A18</font></i>: 
( <font color="Maroon" title="c12">M'</font> <a href="aff_1.html#NR2" title="AFF_1:NR.2">is_line</a>  &amp; <font color="Maroon" title="c13">N'</font> <a href="aff_1.html#NR2" title="AFF_1:NR.2">is_line</a>  )
 <b>by </b><i><a class="txt" href="euclmetr.html#E1:17_2_1"><i><font color="Green" title="E19">A12</font></i></a>, <a class="ref" href="analmetr.html#T58" title="ANALMETR:th.58">ANALMETR:58</a></i>;<br/><b>reconsider </b><font color="Maroon" title="c14">a</font> = <font color="Maroon" title="c4">a1</font>, <font color="Maroon" title="c15">b</font> = <font color="Maroon" title="c5">a2</font>, <font color="Maroon" title="c16">c</font> = <font color="Maroon" title="c6">a3</font>, <font color="Maroon" title="c17">a'</font> = <font color="Maroon" title="c7">b1</font>, <font color="Maroon" title="c18">b'</font> = <font color="Maroon" title="c8">b2</font>, <font color="Maroon" title="c19">c'</font> = <font color="Maroon" title="c9">b3</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="c1">MS</font></span>)</span> <b>by </b><i><a class="ref" href="analmetr.html#T47" title="ANALMETR:th.47">ANALMETR:47</a></i>;<br/><a NAME="E10:17_2_1"/>
( <font color="Maroon" title="c15">b</font>,<font color="Maroon" title="c17">a'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c16">c</font>,<font color="Maroon" title="c18">b'</font> &amp; <font color="Maroon" title="c16">c</font>,<font color="Maroon" title="c19">c'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">a</font>,<font color="Maroon" title="c17">a'</font> )
 <b>by </b><i><a class="txt" href="euclmetr.html#E6:17_2_1"><i><font color="Green" title="E24">A17</font></i></a>, <a class="ref" href="analmetr.html#T48" title="ANALMETR:th.48">ANALMETR:48</a></i>;<br/><a NAME="E11:17_2_1"/><b>then </b>
<font color="Maroon" title="c15">b</font>,<font color="Maroon" title="c19">c'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">a</font>,<font color="Maroon" title="c18">b'</font>
 <b>by </b><i><a class="txt" href="euclmetr.html#E1:17_2"><i><font color="Green" title="E18">A11</font></i></a>, <a class="txt" href="euclmetr.html#E2:17_2_1"><i><font color="Green" title="E20">A13</font></i></a>, <a class="txt" href="euclmetr.html#E3:17_2_1"><i><font color="Green" title="E21">A14</font></i></a>, <a class="txt" href="euclmetr.html#E4:17_2_1"><i><font color="Green" title="E22">A15</font></i></a>, <a class="txt" href="euclmetr.html#E8:17_2_1"><i><font color="Green" title="E25">A18</font></i></a>, <a class="ref" href="aff_2.html#D2" title="AFF_2:def.2">AFF_2:def 2</a></i>;<br/><a NAME="E12:17_2_1"/><b>then </b>
<font color="Maroon" title="c5">a2</font>,<font color="Maroon" title="c9">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a1</font>,<font color="Maroon" title="c8">b2</font>
 <b>by </b><i><a class="ref" href="analmetr.html#T48" title="ANALMETR:th.48">ANALMETR:48</a></i>;<br/><b>hence </b><a NAME="E13:17_2_1"/>
<font color="Maroon" title="c4">a1</font>,<font color="Maroon" title="c8">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">a2</font>,<font color="Maroon" title="c9">b3</font>
 <b>by </b><i><a class="ref" href="analmetr.html#T81" title="ANALMETR:th.81">ANALMETR:81</a></i>;<br/></div><b>end;</b></div><b>hence </b><a NAME="E3:17_2"/>
 <a href="conmetr.html#NR2" title="CONMETR:NR.2">PAP_holds_in</a> <font color="Maroon" title="c1">MS</font>
 <b>by </b><i><a class="ref" href="conmetr.html#D2" title="CONMETR:def.2">CONMETR:def 2</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:17"/>
(  <a href="conmetr.html#NR2" title="CONMETR:NR.2">PAP_holds_in</a> <font color="Maroon" title="c1">MS</font> iff  <a href="analmetr.html#K3" title="ANALMETR:func.3">Af</a> <font color="Maroon" title="c1">MS</font> <a href="papdesaf.html#NR1" title="PAPDESAF:NR.1">satisfies_PAP'</a>  )
 <b>by </b><i><a class="txt" href="euclmetr.html#E1:17"><i><font color="Green" title="E17">A1</font></i></a></i>;<br/>


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