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<span class="kw">let </span><font color="Maroon" title="c1">cc</font>, <font color="Maroon" title="c2">aa</font>, <font color="Maroon" title="c3">bb</font> be    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">I</font>, <font color="Olive" title="b2">J</font> being  <a href="scmnorm.html#NM2" title="SCMNORM:NM.2">Program</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a>   st <font color="Maroon" title="c1">cc</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c2">aa</font> &amp; <font color="Olive" title="b1">I</font> <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">does_not_destroy</a> <font color="Maroon" title="c1">cc</font> &amp; <font color="Olive" title="b2">J</font> <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">does_not_destroy</a> <font color="Maroon" title="c1">cc</font> holds <br/> <a href="scmfsa8b.html#K5" title="SCMFSA8B:func.5">if&gt;0</a> <font color="Maroon" title="c2">aa</font>,<font color="Maroon" title="c3">bb</font>,<font color="Olive" title="b1">I</font>,<font color="Olive" title="b2">J</font> <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">does_not_destroy</a> <font color="Maroon" title="c1">cc</font></span><br/><span class="kw">let </span><font color="Maroon" title="c4">I</font>, <font color="Maroon" title="c5">J</font> be   <a href="scmnorm.html#NM2" title="SCMNORM:NM.2">Program</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">cc</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c2">aa</font> &amp; <font color="Maroon" title="c4">I</font> <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">does_not_destroy</a> <font color="Maroon" title="c1">cc</font> &amp; <font color="Maroon" title="c5">J</font> <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">does_not_destroy</a> <font color="Maroon" title="c1">cc</font> implies  <a href="scmfsa8b.html#K5" title="SCMFSA8B:func.5">if&gt;0</a> <font color="Maroon" title="c2">aa</font>,<font color="Maroon" title="c3">bb</font>,<font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c5">J</font> <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">does_not_destroy</a> <font color="Maroon" title="c1">cc</font> )</span><br/>









<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:16"/><span class="lab"><font color="Green" title="E10">A1</font></span>: 
<font color="Maroon" title="c1">cc</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c2">aa</font>
 <span class="kw">and </span><br/><a NAME="E2:16"/><span class="lab"><font color="Green" title="E11">A2</font></span>: 
( <font color="Maroon" title="c4">I</font> <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">does_not_destroy</a> <font color="Maroon" title="c1">cc</font> &amp; <font color="Maroon" title="c5">J</font> <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">does_not_destroy</a> <font color="Maroon" title="c1">cc</font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="scmfsa8b.html#K5" title="SCMFSA8B:func.5">if&gt;0</a> <font color="Maroon" title="c2">aa</font>,<font color="Maroon" title="c3">bb</font>,<font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c5">J</font> <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">does_not_destroy</a> <font color="Maroon" title="c1">cc</font></span><br/>

<a NAME="E3:16"/>
(  <a href="scmfsa8b.html#K5" title="SCMFSA8B:func.5">if&gt;0</a> <font color="Maroon" title="c2">aa</font>,<font color="Maroon" title="c3">bb</font>,<font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c5">J</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K8" title="SCMFSA_2:func.8">SubFrom</a> <font color="Maroon" title="c2">aa</font>,<font color="Maroon" title="c3">bb</font></span>)</span> <a href="scmfsa6a.html#K6" title="SCMFSA6A:func.6">';'</a> <span class="p1">(<span class="default"><a href="scmfsa8b.html#K2" title="SCMFSA8B:func.2">if&gt;0</a> <font color="Maroon" title="c2">aa</font>,<font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c5">J</font></span>)</span> &amp;  <a href="scmfsa8b.html#K2" title="SCMFSA8B:func.2">if&gt;0</a> <font color="Maroon" title="c2">aa</font>,<font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c5">J</font> <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">does_not_destroy</a> <font color="Maroon" title="c1">cc</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:16"><span class="lab"><font color="Green" title="E11">A2</font></span></a>, <a class="ref" href="scmfsa8b.html#D5" title="SCMFSA8B:def.5">SCMFSA8B:def 5</a>, <a class="ref" href="scmfsa8c.html#T121" title="SCMFSA8C:th.121">SCMFSA8C:121</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:16"/>
 <a href="scmfsa8b.html#K5" title="SCMFSA8B:func.5">if&gt;0</a> <font color="Maroon" title="c2">aa</font>,<font color="Maroon" title="c3">bb</font>,<font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c5">J</font> <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">does_not_destroy</a> <font color="Maroon" title="c1">cc</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:16"><span class="lab"><font color="Green" title="E10">A1</font></span></a>, <a class="ref" href="scmfsa7b.html#T14" title="SCMFSA7B:th.14">SCMFSA7B:14</a>, <a class="ref" href="scmfsa8c.html#T82" title="SCMFSA8C:th.82">SCMFSA8C:82</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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