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<b>let </b><font color="Maroon" title="c1">SAS</font> be   <a href="diraf.html#NM2" title="DIRAF:NM.2">AffinPlane</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">SAS</font> <a href="aff_2.html#NR2" title="AFF_2:NR.2">satisfies_PAP</a>  implies for <font color="Olive" title="b1">a1</font>, <font color="Olive" title="b2">a2</font>, <font color="Olive" title="b3">a3</font>, <font color="Olive" title="b4">b1</font>, <font color="Olive" title="b5">b2</font>, <font color="Olive" title="b6">b3</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">SAS</font>  st <font color="Olive" title="b1">a1</font>,<font color="Olive" title="b2">a2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b1">a1</font>,<font color="Olive" title="b3">a3</font> &amp; <font color="Olive" title="b4">b1</font>,<font color="Olive" title="b5">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b4">b1</font>,<font color="Olive" title="b6">b3</font> &amp; <font color="Olive" title="b1">a1</font>,<font color="Olive" title="b5">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b2">a2</font>,<font color="Olive" title="b4">b1</font> &amp; <font color="Olive" title="b2">a2</font>,<font color="Olive" title="b6">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b3">a3</font>,<font color="Olive" title="b5">b2</font> holds <br/><font color="Olive" title="b3">a3</font>,<font color="Olive" title="b4">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b1">a1</font>,<font color="Olive" title="b6">b3</font> )</span><br/>

<b>assume </b><a NAME="E1:1"/><i><font color="Green" title="E2">A1</font></i>: 
<font color="Maroon" title="c1">SAS</font> <a href="aff_2.html#NR2" title="AFF_2:NR.2">satisfies_PAP</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">a1</font>, <font color="Olive" title="b2">a2</font>, <font color="Olive" title="b3">a3</font>, <font color="Olive" title="b4">b1</font>, <font color="Olive" title="b5">b2</font>, <font color="Olive" title="b6">b3</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">SAS</font>  st <font color="Olive" title="b1">a1</font>,<font color="Olive" title="b2">a2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b1">a1</font>,<font color="Olive" title="b3">a3</font> &amp; <font color="Olive" title="b4">b1</font>,<font color="Olive" title="b5">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b4">b1</font>,<font color="Olive" title="b6">b3</font> &amp; <font color="Olive" title="b1">a1</font>,<font color="Olive" title="b5">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b2">a2</font>,<font color="Olive" title="b4">b1</font> &amp; <font color="Olive" title="b2">a2</font>,<font color="Olive" title="b6">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b3">a3</font>,<font color="Olive" title="b5">b2</font> holds <br/><font color="Olive" title="b3">a3</font>,<font color="Olive" title="b4">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b1">a1</font>,<font color="Olive" title="b6">b3</font></span><br/>

<a NAME="E2:1"/><b>then </b><i><font color="Green" title="E3">A2</font></i>: 
<font color="Maroon" title="c1">SAS</font> <a href="aff_2.html#NR13" title="AFF_2:NR.13">satisfies_pap</a> 
 
<b>by </b><i><a class="ref" href="aff_2.html#T23" title="AFF_2:th.23">AFF_2:23</a></i>;<br/>
<b>let </b><font color="Maroon" title="c2">a1</font>, <font color="Maroon" title="c3">a2</font>, <font color="Maroon" title="c4">a3</font>, <font color="Maroon" title="c5">b1</font>, <font color="Maroon" title="c6">b2</font>, <font color="Maroon" title="c7">b3</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">SAS</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c3">a2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c4">a3</font> &amp; <font color="Maroon" title="c5">b1</font>,<font color="Maroon" title="c6">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">b1</font>,<font color="Maroon" title="c7">b3</font> &amp; <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c6">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c5">b1</font> &amp; <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c7">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c6">b2</font> implies <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font> )</span><br/>

<b>assume </b><b>that </b><br/><a NAME="E3:1"/><i><font color="Green" title="E4">A3</font></i>: 
( <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c3">a2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c4">a3</font> &amp; <font color="Maroon" title="c5">b1</font>,<font color="Maroon" title="c6">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">b1</font>,<font color="Maroon" title="c7">b3</font> )
 <b>and </b><br/><a NAME="E4:1"/><i><font color="Green" title="E5">A4</font></i>: 
( <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c6">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c5">b1</font> &amp; <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c7">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c6">b2</font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/>

<a NAME="E5:1"/><i><font color="Green" title="E6">A5</font></i>: 
(  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c4">a3</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c5">b1</font>,<font color="Maroon" title="c6">b2</font>,<font color="Maroon" title="c7">b3</font> )
 
<b>by </b><i><a class="txt" href="pardepap.html#E3:1"><i><font color="Green" title="E4">A3</font></i></a>, <a class="ref" href="aff_1.html#D1" title="AFF_1:def.1">AFF_1:def 1</a></i>;<br/>
<b>then consider </b><font color="Maroon" title="c8">M</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">SAS</font><b> such that </b><br/><a NAME="E7:1"/><i><font color="Green" title="E7">A6</font></i>: 
<font color="Maroon" title="c8">M</font> <a href="aff_1.html#NR2" title="AFF_1:NR.2">is_line</a> 
 <b>and </b><br/><a NAME="E8:1"/><i><font color="Green" title="E8">A7</font></i>: 
( <font color="Maroon" title="c2">a1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">M</font> &amp; <font color="Maroon" title="c3">a2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">M</font> &amp; <font color="Maroon" title="c4">a3</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">M</font> )
 <b>by </b><i><a class="ref" href="aff_1.html#T33" title="AFF_1:th.33">AFF_1:33</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c9">N</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">SAS</font><b> such that </b><br/><a NAME="E10:1"/><i><font color="Green" title="E9">A8</font></i>: 
<font color="Maroon" title="c9">N</font> <a href="aff_1.html#NR2" title="AFF_1:NR.2">is_line</a> 
 <b>and </b><br/><a NAME="E11:1"/><i><font color="Green" title="E10">A9</font></i>: 
( <font color="Maroon" title="c5">b1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">N</font> &amp; <font color="Maroon" title="c6">b2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">N</font> &amp; <font color="Maroon" title="c7">b3</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">N</font> )
 <b>by </b><i><a class="txt" href="pardepap.html#E5:1"><i><font color="Green" title="E6">A5</font></i></a>, <a class="ref" href="aff_1.html#T33" title="AFF_1:th.33">AFF_1:33</a></i>;<br/>
<div><i><font color="Green" title="E11">A10</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="1_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:1_1"/>
( <font color="Maroon" title="c8">M</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">N</font> &amp; <font color="Maroon" title="c8">M</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a> <font color="Maroon" title="c9">N</font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/><a NAME="E2:1_1"/><b>then </b>
<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E2:1"><i><font color="Green" title="E3">A2</font></i></a>, <a class="txt" href="pardepap.html#E4:1"><i><font color="Green" title="E5">A4</font></i></a>, <a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E8:1"><i><font color="Green" title="E8">A7</font></i></a>, <a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E11:1"><i><font color="Green" title="E10">A9</font></i></a>, <a class="ref" href="aff_2.html#D13" title="AFF_2:def.13">AFF_2:def 13</a></i>;<br/><b>hence </b><a NAME="E3:1_1"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</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><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:1_2"/><i><font color="Green" title="E12">A11</font></i>: 
( <font color="Maroon" title="c8">M</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">N</font> &amp; not <font color="Maroon" title="c8">M</font> <a href="aff_1.html#R4" title="AFF_1:pred.4">//</a> <font color="Maroon" title="c9">N</font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/><b>then consider </b><font color="Maroon" title="c10">o</font> being    <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">SAS</font><b> such that </b><br/><a NAME="E3:1_2"/><i><font color="Green" title="E13">A12</font></i>: 
( <font color="Maroon" title="c10">o</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">M</font> &amp; <font color="Maroon" title="c10">o</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">N</font> )
 <b>by </b><i><a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="ref" href="aff_1.html#T72" title="AFF_1:th.72">AFF_1:72</a></i>;<br/><div><i><font color="Green" title="E14">A13</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:1_2_1"/><i><font color="Green" title="E15">A14</font></i>: 
<font color="Maroon" title="c10">o</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">a1</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/><a NAME="E2:1_2_1"/><b>then </b><i><font color="Green" title="E16">A15</font></i>: 
<font color="Maroon" title="c10">o</font>,<font color="Maroon" title="c6">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c5">b1</font>,<font color="Maroon" title="c3">a2</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E4:1"><i><font color="Green" title="E5">A4</font></i></a>, <a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/><div><i><font color="Green" title="E17">A16</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2_1_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:1_2_1_1"/>
<font color="Maroon" title="c6">b2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">o</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/><a NAME="E2:1_2_1_1"/><b>then </b>
<font color="Maroon" title="c3">a2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">N</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E11:1"><i><font color="Green" title="E10">A9</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E2:1_2_1"><i><font color="Green" title="E16">A15</font></i></a>, <a class="ref" href="aff_1.html#T62" title="AFF_1:th.62">AFF_1:62</a></i>;<br/><a NAME="E3:1_2_1_1"/><b>then </b>
<font color="Maroon" title="c3">a2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">o</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E8:1"><i><font color="Green" title="E8">A7</font></i></a>, <a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2"><i><font color="Green" title="E12">A11</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="ref" href="aff_1.html#T30" title="AFF_1:th.30">AFF_1:30</a></i>;<br/><a NAME="E4:1_2_1_1"/><b>then </b><i><font color="Green" title="E18">A17</font></i>: 
<font color="Maroon" title="c10">o</font>,<font color="Maroon" title="c7">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">b2</font>,<font color="Maroon" title="c4">a3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E4:1"><i><font color="Green" title="E5">A4</font></i></a>, <a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2_1_1_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:1_2_1_1_1"/>
<font color="Maroon" title="c10">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c7">b3</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/><a NAME="E2:1_2_1_1_1"/><b>then </b>
<font color="Maroon" title="c4">a3</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">N</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E11:1"><i><font color="Green" title="E10">A9</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E4:1_2_1_1"><i><font color="Green" title="E18">A17</font></i></a>, <a class="ref" href="aff_1.html#T62" title="AFF_1:th.62">AFF_1:62</a></i>;<br/><b>hence </b><a NAME="E3:1_2_1_1_1"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E11:1"><i><font color="Green" title="E10">A9</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_1"><i><font color="Green" title="E15">A14</font></i></a>, <a class="ref" href="aff_1.html#T65" title="AFF_1:th.65">AFF_1:65</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><b>end;</b></div><b>hence </b><a NAME="E6:1_2_1_1"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E1:1_2_1"><i><font color="Green" title="E15">A14</font></i></a>, <a class="ref" href="aff_1.html#T12" title="AFF_1:th.12">AFF_1:12</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><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2_1_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:1_2_1_2"/><i><font color="Green" title="E18">A18</font></i>: 
<font color="Maroon" title="c6">b2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">o</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2_1_2_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:1_2_1_2_1"/><i><font color="Green" title="E19">A19</font></i>: 
<font color="Maroon" title="c4">a3</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">o</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/><a NAME="E2:1_2_1_2_1"/>
<font color="Maroon" title="c10">o</font>,<font color="Maroon" title="c4">a3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E4:1"><i><font color="Green" title="E5">A4</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_1_2"><i><font color="Green" title="E18">A18</font></i></a>, <a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/><a NAME="E3:1_2_1_2_1"/><b>then </b>
<font color="Maroon" title="c7">b3</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">M</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E8:1"><i><font color="Green" title="E8">A7</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_1_2_1"><i><font color="Green" title="E19">A19</font></i></a>, <a class="ref" href="aff_1.html#T62" title="AFF_1:th.62">AFF_1:62</a></i>;<br/><a NAME="E4:1_2_1_2_1"/><b>then </b>
<font color="Maroon" title="c2">a1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E11:1"><i><font color="Green" title="E10">A9</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2"><i><font color="Green" title="E12">A11</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_1"><i><font color="Green" title="E15">A14</font></i></a>, <a class="ref" href="aff_1.html#T30" title="AFF_1:th.30">AFF_1:30</a></i>;<br/><b>hence </b><a NAME="E5:1_2_1_2_1"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="ref" href="aff_1.html#T12" title="AFF_1:th.12">AFF_1:12</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><b>end;</b></div><b>hence </b><a NAME="E3:1_2_1_2"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E11:1"><i><font color="Green" title="E10">A9</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_1"><i><font color="Green" title="E15">A14</font></i></a>, <a class="ref" href="aff_1.html#T65" title="AFF_1:th.65">AFF_1:65</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><b>end;</b></div><b>hence </b><a NAME="E5:1_2_1"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E3:1_2_1"><i><font color="Green" title="E17">A16</font></i></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><b>end;</b></div><div><i><font color="Green" title="E15">A20</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:1_2_2"/><i><font color="Green" title="E16">A21</font></i>: 
( <font color="Maroon" title="c10">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c2">a1</font> &amp; <font color="Maroon" title="c5">b1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">o</font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/><a NAME="E2:1_2_2"/><b>then </b><i><font color="Green" title="E17">A22</font></i>: 
<font color="Maroon" title="c10">o</font>,<font color="Maroon" title="c3">a2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c6">b2</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E4:1"><i><font color="Green" title="E5">A4</font></i></a>, <a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/><div><i><font color="Green" title="E18">A23</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2_2_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:1_2_2_1"/>
<font color="Maroon" title="c3">a2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">o</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/><a NAME="E2:1_2_2_1"/><b>then </b>
<font color="Maroon" title="c6">b2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">M</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E8:1"><i><font color="Green" title="E8">A7</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E2:1_2_2"><i><font color="Green" title="E17">A22</font></i></a>, <a class="ref" href="aff_1.html#T62" title="AFF_1:th.62">AFF_1:62</a></i>;<br/><a NAME="E3:1_2_2_1"/><b>then </b>
<font color="Maroon" title="c6">b2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">o</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E11:1"><i><font color="Green" title="E10">A9</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2"><i><font color="Green" title="E12">A11</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="ref" href="aff_1.html#T30" title="AFF_1:th.30">AFF_1:30</a></i>;<br/><a NAME="E4:1_2_2_1"/><b>then </b><i><font color="Green" title="E19">A24</font></i>: 
<font color="Maroon" title="c10">o</font>,<font color="Maroon" title="c4">a3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E4:1"><i><font color="Green" title="E5">A4</font></i></a>, <a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2_2_1_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:1_2_2_1_1"/>
<font color="Maroon" title="c10">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">a3</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/><a NAME="E2:1_2_2_1_1"/><b>then </b>
<font color="Maroon" title="c7">b3</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">M</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E8:1"><i><font color="Green" title="E8">A7</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E4:1_2_2_1"><i><font color="Green" title="E19">A24</font></i></a>, <a class="ref" href="aff_1.html#T62" title="AFF_1:th.62">AFF_1:62</a></i>;<br/><b>hence </b><a NAME="E3:1_2_2_1_1"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E8:1"><i><font color="Green" title="E8">A7</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_2"><i><font color="Green" title="E16">A21</font></i></a>, <a class="ref" href="aff_1.html#T65" title="AFF_1:th.65">AFF_1:65</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><b>end;</b></div><b>hence </b><a NAME="E6:1_2_2_1"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E1:1_2_2"><i><font color="Green" title="E16">A21</font></i></a>, <a class="ref" href="aff_1.html#T12" title="AFF_1:th.12">AFF_1:12</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><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2_2_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:1_2_2_2"/><i><font color="Green" title="E19">A25</font></i>: 
<font color="Maroon" title="c3">a2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">o</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2_2_2_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:1_2_2_2_1"/><i><font color="Green" title="E20">A26</font></i>: 
<font color="Maroon" title="c7">b3</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">o</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/><a NAME="E2:1_2_2_2_1"/>
<font color="Maroon" title="c10">o</font>,<font color="Maroon" title="c7">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">b2</font>,<font color="Maroon" title="c4">a3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E4:1"><i><font color="Green" title="E5">A4</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_2_2"><i><font color="Green" title="E19">A25</font></i></a>, <a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/><a NAME="E3:1_2_2_2_1"/><b>then </b>
<font color="Maroon" title="c4">a3</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">N</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E11:1"><i><font color="Green" title="E10">A9</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_2_2_1"><i><font color="Green" title="E20">A26</font></i></a>, <a class="ref" href="aff_1.html#T62" title="AFF_1:th.62">AFF_1:62</a></i>;<br/><a NAME="E4:1_2_2_2_1"/><b>then </b>
<font color="Maroon" title="c5">b1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">a3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E8:1"><i><font color="Green" title="E8">A7</font></i></a>, <a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2"><i><font color="Green" title="E12">A11</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_2"><i><font color="Green" title="E16">A21</font></i></a>, <a class="ref" href="aff_1.html#T30" title="AFF_1:th.30">AFF_1:30</a></i>;<br/><b>hence </b><a NAME="E5:1_2_2_2_1"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="ref" href="aff_1.html#T12" title="AFF_1:th.12">AFF_1:12</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><b>end;</b></div><b>hence </b><a NAME="E3:1_2_2_2"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E8:1"><i><font color="Green" title="E8">A7</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_2"><i><font color="Green" title="E16">A21</font></i></a>, <a class="ref" href="aff_1.html#T65" title="AFF_1:th.65">AFF_1:65</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><b>end;</b></div><b>hence </b><a NAME="E5:1_2_2"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E3:1_2_2"><i><font color="Green" title="E18">A23</font></i></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><b>end;</b></div><div><i><font color="Green" title="E16">A27</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2_3"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:1_2_3"/><i><font color="Green" title="E17">A28</font></i>: 
( <font color="Maroon" title="c10">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c2">a1</font> &amp; <font color="Maroon" title="c5">b1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">o</font> &amp; <font color="Maroon" title="c10">o</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">b3</font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/><div><i><font color="Green" title="E18">A29</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2_3_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:1_2_3_1"/>
<font color="Maroon" title="c3">a2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">o</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/><a NAME="E2:1_2_3_1"/><b>then </b>
<font color="Maroon" title="c6">b2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">M</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E4:1"><i><font color="Green" title="E5">A4</font></i></a>, <a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E8:1"><i><font color="Green" title="E8">A7</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_3"><i><font color="Green" title="E17">A28</font></i></a>, <a class="ref" href="aff_1.html#T62" title="AFF_1:th.62">AFF_1:62</a></i>;<br/><a NAME="E3:1_2_3_1"/><b>then </b>
<font color="Maroon" title="c6">b2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">o</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E11:1"><i><font color="Green" title="E10">A9</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2"><i><font color="Green" title="E12">A11</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="ref" href="aff_1.html#T30" title="AFF_1:th.30">AFF_1:30</a></i>;<br/><a NAME="E4:1_2_3_1"/><b>then </b>
<font color="Maroon" title="c5">b1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">M</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E4:1"><i><font color="Green" title="E5">A4</font></i></a>, <a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E8:1"><i><font color="Green" title="E8">A7</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_3"><i><font color="Green" title="E17">A28</font></i></a>, <a class="ref" href="aff_1.html#T62" title="AFF_1:th.62">AFF_1:62</a></i>;<br/><b>hence </b><a NAME="E5:1_2_3_1"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E8:1"><i><font color="Green" title="E8">A7</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_3"><i><font color="Green" title="E17">A28</font></i></a>, <a class="ref" href="aff_1.html#T65" title="AFF_1:th.65">AFF_1:65</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><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2_3_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:1_2_3_2"/>
<font color="Maroon" title="c3">a2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">o</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/><a NAME="E2:1_2_3_2"/><b>then </b>
<font color="Maroon" title="c10">o</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">b2</font>,<font color="Maroon" title="c2">a1</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E4:1"><i><font color="Green" title="E5">A4</font></i></a>, <a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/><a NAME="E3:1_2_3_2"/><b>then </b>
<font color="Maroon" title="c2">a1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">N</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E11:1"><i><font color="Green" title="E10">A9</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_3"><i><font color="Green" title="E17">A28</font></i></a>, <a class="ref" href="aff_1.html#T62" title="AFF_1:th.62">AFF_1:62</a></i>;<br/><b>hence </b><a NAME="E4:1_2_3_2"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E8:1"><i><font color="Green" title="E8">A7</font></i></a>, <a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2"><i><font color="Green" title="E12">A11</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_3"><i><font color="Green" title="E17">A28</font></i></a>, <a class="ref" href="aff_1.html#T30" title="AFF_1:th.30">AFF_1:30</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><b>end;</b></div><b>hence </b><a NAME="E4:1_2_3"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E2:1_2_3"><i><font color="Green" title="E18">A29</font></i></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><b>end;</b></div><div><i><font color="Green" title="E17">A30</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2_4"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:1_2_4"/><i><font color="Green" title="E18">A31</font></i>: 
( <font color="Maroon" title="c10">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c2">a1</font> &amp; <font color="Maroon" title="c5">b1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">o</font> &amp; <font color="Maroon" title="c10">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c7">b3</font> &amp; <font color="Maroon" title="c10">o</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">a3</font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/><a NAME="E2:1_2_4"/><b>then </b><i><font color="Green" title="E19">A32</font></i>: 
<font color="Maroon" title="c10">o</font>,<font color="Maroon" title="c6">b2</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">b3</font>,<font color="Maroon" title="c3">a2</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E4:1"><i><font color="Green" title="E5">A4</font></i></a>, <a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/><div><i><font color="Green" title="E20">A33</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2_4_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:1_2_4_1"/>
<font color="Maroon" title="c6">b2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">o</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/><a NAME="E2:1_2_4_1"/><b>then </b>
<font color="Maroon" title="c3">a2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">N</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E11:1"><i><font color="Green" title="E10">A9</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E2:1_2_4"><i><font color="Green" title="E19">A32</font></i></a>, <a class="ref" href="aff_1.html#T62" title="AFF_1:th.62">AFF_1:62</a></i>;<br/><a NAME="E3:1_2_4_1"/><b>then </b>
<font color="Maroon" title="c3">a2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">o</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E8:1"><i><font color="Green" title="E8">A7</font></i></a>, <a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2"><i><font color="Green" title="E12">A11</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="ref" href="aff_1.html#T30" title="AFF_1:th.30">AFF_1:30</a></i>;<br/><a NAME="E4:1_2_4_1"/><b>then </b>
<font color="Maroon" title="c10">o</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">b2</font>,<font color="Maroon" title="c2">a1</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E4:1"><i><font color="Green" title="E5">A4</font></i></a>, <a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/><a NAME="E5:1_2_4_1"/><b>then </b>
<font color="Maroon" title="c2">a1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">N</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E11:1"><i><font color="Green" title="E10">A9</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_4"><i><font color="Green" title="E18">A31</font></i></a>, <a class="ref" href="aff_1.html#T62" title="AFF_1:th.62">AFF_1:62</a></i>;<br/><b>hence </b><a NAME="E6:1_2_4_1"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E11:1"><i><font color="Green" title="E10">A9</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_4"><i><font color="Green" title="E18">A31</font></i></a>, <a class="ref" href="aff_1.html#T65" title="AFF_1:th.65">AFF_1:65</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><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2_4_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:1_2_4_2"/>
<font color="Maroon" title="c6">b2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">o</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/><a NAME="E2:1_2_4_2"/><b>then </b>
<font color="Maroon" title="c5">b1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">M</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E4:1"><i><font color="Green" title="E5">A4</font></i></a>, <a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E8:1"><i><font color="Green" title="E8">A7</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_4"><i><font color="Green" title="E18">A31</font></i></a>, <a class="ref" href="aff_1.html#T62" title="AFF_1:th.62">AFF_1:62</a></i>;<br/><b>hence </b><a NAME="E3:1_2_4_2"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E11:1"><i><font color="Green" title="E10">A9</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2"><i><font color="Green" title="E12">A11</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_4"><i><font color="Green" title="E18">A31</font></i></a>, <a class="ref" href="aff_1.html#T30" title="AFF_1:th.30">AFF_1:30</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><b>end;</b></div><b>hence </b><a NAME="E5:1_2_4"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E3:1_2_4"><i><font color="Green" title="E20">A33</font></i></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><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2_5"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:1_2_5"/><i><font color="Green" title="E18">A34</font></i>: 
( <font color="Maroon" title="c10">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c2">a1</font> &amp; <font color="Maroon" title="c10">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">b1</font> &amp; <font color="Maroon" title="c10">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c7">b3</font> &amp; <font color="Maroon" title="c10">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">a3</font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font></span><br/><a NAME="E2:1_2_5"/><i><font color="Green" title="E19">A35</font></i>: 
<font color="Maroon" title="c10">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">a2</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2_5_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:1_2_5_1"/>
<font color="Maroon" title="c10">o</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">a2</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> contradiction</span><br/>

<a NAME="E2:1_2_5_1"/><b>then </b>
<font color="Maroon" title="c10">o</font>,<font color="Maroon" title="c7">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">b2</font>,<font color="Maroon" title="c4">a3</font>
 
<b>by </b><i><a class="txt" href="pardepap.html#E4:1"><i><font color="Green" title="E5">A4</font></i></a>, <a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/>
<a NAME="E3:1_2_5_1"/><b>then </b>
<font color="Maroon" title="c4">a3</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">N</font>
 
<b>by </b><i><a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E11:1"><i><font color="Green" title="E10">A9</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_5"><i><font color="Green" title="E18">A34</font></i></a>, <a class="ref" href="aff_1.html#T62" title="AFF_1:th.62">AFF_1:62</a></i>;<br/>
<b>hence </b><a NAME="E4:1_2_5_1"/>
contradiction
 <b>by </b><i><a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E8:1"><i><font color="Green" title="E8">A7</font></i></a>, <a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2"><i><font color="Green" title="E12">A11</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_5"><i><font color="Green" title="E18">A34</font></i></a>, <a class="ref" href="aff_1.html#T30" title="AFF_1:th.30">AFF_1:30</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><b>end;</b></div><a NAME="E3:1_2_5"/>
<font color="Maroon" title="c10">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c6">b2</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="1_2_5_2"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:1_2_5_2"/>
<font color="Maroon" title="c10">o</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">b2</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> contradiction</span><br/>

<a NAME="E2:1_2_5_2"/><b>then </b>
<font color="Maroon" title="c10">o</font>,<font color="Maroon" title="c4">a3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c7">b3</font>
 
<b>by </b><i><a class="txt" href="pardepap.html#E4:1"><i><font color="Green" title="E5">A4</font></i></a>, <a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</a></i>;<br/>
<a NAME="E3:1_2_5_2"/><b>then </b>
<font color="Maroon" title="c7">b3</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">M</font>
 
<b>by </b><i><a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E8:1"><i><font color="Green" title="E8">A7</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_5"><i><font color="Green" title="E18">A34</font></i></a>, <a class="ref" href="aff_1.html#T62" title="AFF_1:th.62">AFF_1:62</a></i>;<br/>
<b>hence </b><a NAME="E4:1_2_5_2"/>
contradiction
 <b>by </b><i><a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E11:1"><i><font color="Green" title="E10">A9</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2"><i><font color="Green" title="E12">A11</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_5"><i><font color="Green" title="E18">A34</font></i></a>, <a class="ref" href="aff_1.html#T30" title="AFF_1:th.30">AFF_1:30</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><b>end;</b></div><a NAME="E4:1_2_5"/><b>then </b>
<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E1:1"><i><font color="Green" title="E2">A1</font></i></a>, <a class="txt" href="pardepap.html#E4:1"><i><font color="Green" title="E5">A4</font></i></a>, <a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E8:1"><i><font color="Green" title="E8">A7</font></i></a>, <a class="txt" href="pardepap.html#E10:1"><i><font color="Green" title="E9">A8</font></i></a>, <a class="txt" href="pardepap.html#E11:1"><i><font color="Green" title="E10">A9</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2"><i><font color="Green" title="E12">A11</font></i></a>, <a class="txt" href="pardepap.html#E3:1_2"><i><font color="Green" title="E13">A12</font></i></a>, <a class="txt" href="pardepap.html#E1:1_2_5"><i><font color="Green" title="E18">A34</font></i></a>, <a class="txt" href="pardepap.html#E2:1_2_5"><i><font color="Green" title="E19">A35</font></i></a>, <a class="ref" href="aff_2.html#D2" title="AFF_2:def.2">AFF_2:def 2</a></i>;<br/><b>hence </b><a NAME="E5:1_2_5"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="ref" href="aff_1.html#T13" title="AFF_1:th.13">AFF_1:13</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><b>end;</b></div><b>hence </b><a NAME="E9:1_2"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E4:1_2"><i><font color="Green" title="E14">A13</font></i></a>, <a class="txt" href="pardepap.html#E5:1_2"><i><font color="Green" title="E15">A20</font></i></a>, <a class="txt" href="pardepap.html#E6:1_2"><i><font color="Green" title="E16">A27</font></i></a>, <a class="txt" href="pardepap.html#E7:1_2"><i><font color="Green" title="E17">A30</font></i></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><b>end;</b></div>
<b>hence </b><a NAME="E14:1"/>
<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c7">b3</font>
 <b>by </b><i><a class="txt" href="pardepap.html#E7:1"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="pardepap.html#E8:1"><i><font color="Green" title="E8">A7</font></i></a>, <a class="txt" href="pardepap.html#E11:1"><i><font color="Green" title="E10">A9</font></i></a>, <a class="txt" href="pardepap.html#E12:1"><i><font color="Green" title="E11">A10</font></i></a>, <a class="ref" href="aff_1.html#T65" title="AFF_1:th.65">AFF_1:65</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>
