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

<span class="kw">let </span><font color="Maroon" title="c1">aa</font> be   <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">I</font> being   <a href="compos_1.html#NM4" title="COMPOS_1:NM.4">Program</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a>  st  not <font color="Maroon" title="c1">aa</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="sf_mastr.html#K3" title="SF_MASTR:func.3">UsedILoc</a> <font color="Olive" title="b1">I</font> holds <br/> not <font color="Olive" title="b1">I</font> <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">destroys</a> <font color="Maroon" title="c1">aa</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">I</font> be   <a href="compos_1.html#NM4" title="COMPOS_1:NM.4">Program</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  not <font color="Maroon" title="c1">aa</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="sf_mastr.html#K3" title="SF_MASTR:func.3">UsedILoc</a> <font color="Maroon" title="c2">I</font> implies  not <font color="Maroon" title="c2">I</font> <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">destroys</a> <font color="Maroon" title="c1">aa</font> )</span><br/>



<span class="kw">assume </span><a NAME="E1:15"/><span class="lab"><font color="Green" title="E2">A1</font></span>: 
 not <font color="Maroon" title="c1">aa</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="sf_mastr.html#K3" title="SF_MASTR:func.3">UsedILoc</a> <font color="Maroon" title="c2">I</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not <font color="Maroon" title="c2">I</font> <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">destroys</a> <font color="Maroon" title="c1">aa</font></span><br/>

<span class="kw">let </span><font color="Maroon" title="c3">i</font> be   <a href="compos_1.html#NM1" title="COMPOS_1:NM.1">Instruction</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a>; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="scmfsa7b.html#D4" onmouseover="rs('scmfsa7b/D4')" onmouseout="rh()">SCMFSA7B:def 4</a> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  not <font color="Maroon" title="c3">i</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">rng</a> <font color="Maroon" title="c2">I</font> or  not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font> )</span><br/>

<span class="kw">assume </span><a NAME="E2:15"/>
<font color="Maroon" title="c3">i</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Maroon" title="c2">I</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font></span><br/>

<a NAME="E3:15"/><span class="kw">then </span>
 <a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <font color="Maroon" title="c3">i</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="sf_mastr.html#K3" title="SF_MASTR:func.3">UsedILoc</a> <font color="Maroon" title="c2">I</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="sf_mastr.html#T19" onmouseover="rs('sf_mastr/T19')" onmouseout="rh()">SF_MASTR:19</a></span>;<br/>
<a NAME="E4:15"/><span class="kw">then </span><span class="lab"><font color="Green" title="E3">A2</font></span>: 
 not <font color="Maroon" title="c1">aa</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <font color="Maroon" title="c3">i</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:15"><span class="lab"><font color="Green" title="E2">A1</font></span></a></span>;<br/>
<a NAME="E5:15"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 12
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_2.html#T16" onmouseover="rs('scmfsa_2/T16')" onmouseout="rh()">SCMFSA_2:16</a></span>;<br/>
<a NAME="E6:15"/><span class="kw">then </span>
 not  not  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp;  ...  &amp;  not  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 12
 
;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:15_1"/><span class="kw">then </span>
(  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 5 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 7 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 8 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 9 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 10 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 11 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 12 )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_1"><span class="kw">suppose </span></a><a NAME="E1:15_1_1"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font></span><br/><div class="add"><a NAME="E2:15_1_1"/><span class="kw">then </span>
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="compos_1.html#K2" title="COMPOS_1:func.2">halt</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_2.html#T95" onmouseover="rs('scmfsa_2/T95')" onmouseout="rh()">SCMFSA_2:95</a></span>;<br/><span class="kw">hence </span><a NAME="E3:15_1_1"/>
 not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_2"><span class="kw">suppose </span></a><a NAME="E1:15_1_2"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font></span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c4">a</font>, <font color="Maroon" title="c5">b</font> being   <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a><span class="kw"> such that </span><br/><a NAME="E3:15_1_2"/><span class="lab"><font color="Green" title="E4">A3</font></span>: 
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">a</font> <a href="scmfsa_2.html#K6" title="SCMFSA_2:func.6">:=</a> <font color="Maroon" title="c5">b</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_2.html#T30" onmouseover="rs('scmfsa_2/T30')" onmouseout="rh()">SCMFSA_2:30</a></span>;<br/><a NAME="E4:15_1_2"/>
 <a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="scmfsa_m.html#K5" title="SCMFSA_M:func.5">{</a><span class="default"><font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font></span><a href="scmfsa_m.html#K5" title="SCMFSA_M:func.5">}</a></span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:15_1_2"><span class="lab"><font color="Green" title="E4">A3</font></span></a>, <a class="ref" href="sf_mastr.html#T14" onmouseover="rs('sf_mastr/T14')" onmouseout="rh()">SF_MASTR:14</a></span>;<br/><a NAME="E5:15_1_2"/><span class="kw">then </span>
<font color="Maroon" title="c4">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <font color="Maroon" title="c3">i</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="tarski.html#D2" onmouseover="rs('tarski/D2')" onmouseout="rh()">TARSKI:def 2</a></span>;<br/><span class="kw">hence </span><a NAME="E6:15_1_2"/>
 not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:15"><span class="lab"><font color="Green" title="E3">A2</font></span></a>, <a class="txt" href="#E3:15_1_2"><span class="lab"><font color="Green" title="E4">A3</font></span></a>, <a class="ref" href="scmfsa7b.html#T6" onmouseover="rs('scmfsa7b/T6')" onmouseout="rh()">SCMFSA7B:6</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_3"><span class="kw">suppose </span></a><a NAME="E1:15_1_3"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font></span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c4">a</font>, <font color="Maroon" title="c5">b</font> being   <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a><span class="kw"> such that </span><br/><a NAME="E3:15_1_3"/><span class="lab"><font color="Green" title="E4">A4</font></span>: 
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K7" title="SCMFSA_2:func.7">AddTo</a> (<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_2.html#T31" onmouseover="rs('scmfsa_2/T31')" onmouseout="rh()">SCMFSA_2:31</a></span>;<br/><a NAME="E4:15_1_3"/>
 <a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="scmfsa_m.html#K5" title="SCMFSA_M:func.5">{</a><span class="default"><font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font></span><a href="scmfsa_m.html#K5" title="SCMFSA_M:func.5">}</a></span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:15_1_3"><span class="lab"><font color="Green" title="E4">A4</font></span></a>, <a class="ref" href="sf_mastr.html#T14" onmouseover="rs('sf_mastr/T14')" onmouseout="rh()">SF_MASTR:14</a></span>;<br/><a NAME="E5:15_1_3"/><span class="kw">then </span>
<font color="Maroon" title="c4">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <font color="Maroon" title="c3">i</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="tarski.html#D2" onmouseover="rs('tarski/D2')" onmouseout="rh()">TARSKI:def 2</a></span>;<br/><span class="kw">hence </span><a NAME="E6:15_1_3"/>
 not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:15"><span class="lab"><font color="Green" title="E3">A2</font></span></a>, <a class="txt" href="#E3:15_1_3"><span class="lab"><font color="Green" title="E4">A4</font></span></a>, <a class="ref" href="scmfsa7b.html#T7" onmouseover="rs('scmfsa7b/T7')" onmouseout="rh()">SCMFSA7B:7</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_4"><span class="kw">suppose </span></a><a NAME="E1:15_1_4"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font></span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c4">a</font>, <font color="Maroon" title="c5">b</font> being   <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a><span class="kw"> such that </span><br/><a NAME="E3:15_1_4"/><span class="lab"><font color="Green" title="E4">A5</font></span>: 
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K8" title="SCMFSA_2:func.8">SubFrom</a> (<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_2.html#T32" onmouseover="rs('scmfsa_2/T32')" onmouseout="rh()">SCMFSA_2:32</a></span>;<br/><a NAME="E4:15_1_4"/>
 <a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="scmfsa_m.html#K5" title="SCMFSA_M:func.5">{</a><span class="default"><font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font></span><a href="scmfsa_m.html#K5" title="SCMFSA_M:func.5">}</a></span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:15_1_4"><span class="lab"><font color="Green" title="E4">A5</font></span></a>, <a class="ref" href="sf_mastr.html#T14" onmouseover="rs('sf_mastr/T14')" onmouseout="rh()">SF_MASTR:14</a></span>;<br/><a NAME="E5:15_1_4"/><span class="kw">then </span>
<font color="Maroon" title="c4">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <font color="Maroon" title="c3">i</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="tarski.html#D2" onmouseover="rs('tarski/D2')" onmouseout="rh()">TARSKI:def 2</a></span>;<br/><span class="kw">hence </span><a NAME="E6:15_1_4"/>
 not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:15"><span class="lab"><font color="Green" title="E3">A2</font></span></a>, <a class="txt" href="#E3:15_1_4"><span class="lab"><font color="Green" title="E4">A5</font></span></a>, <a class="ref" href="scmfsa7b.html#T8" onmouseover="rs('scmfsa7b/T8')" onmouseout="rh()">SCMFSA7B:8</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_5"><span class="kw">suppose </span></a><a NAME="E1:15_1_5"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font></span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c4">a</font>, <font color="Maroon" title="c5">b</font> being   <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a><span class="kw"> such that </span><br/><a NAME="E3:15_1_5"/><span class="lab"><font color="Green" title="E4">A6</font></span>: 
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K9" title="SCMFSA_2:func.9">MultBy</a> (<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_2.html#T33" onmouseover="rs('scmfsa_2/T33')" onmouseout="rh()">SCMFSA_2:33</a></span>;<br/><a NAME="E4:15_1_5"/>
 <a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="scmfsa_m.html#K5" title="SCMFSA_M:func.5">{</a><span class="default"><font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font></span><a href="scmfsa_m.html#K5" title="SCMFSA_M:func.5">}</a></span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:15_1_5"><span class="lab"><font color="Green" title="E4">A6</font></span></a>, <a class="ref" href="sf_mastr.html#T14" onmouseover="rs('sf_mastr/T14')" onmouseout="rh()">SF_MASTR:14</a></span>;<br/><a NAME="E5:15_1_5"/><span class="kw">then </span>
<font color="Maroon" title="c4">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <font color="Maroon" title="c3">i</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="tarski.html#D2" onmouseover="rs('tarski/D2')" onmouseout="rh()">TARSKI:def 2</a></span>;<br/><span class="kw">hence </span><a NAME="E6:15_1_5"/>
 not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:15"><span class="lab"><font color="Green" title="E3">A2</font></span></a>, <a class="txt" href="#E3:15_1_5"><span class="lab"><font color="Green" title="E4">A6</font></span></a>, <a class="ref" href="scmfsa7b.html#T9" onmouseover="rs('scmfsa7b/T9')" onmouseout="rh()">SCMFSA7B:9</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_6"><span class="kw">suppose </span></a><a NAME="E1:15_1_6"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 5
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font></span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c4">a</font>, <font color="Maroon" title="c5">b</font> being   <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a><span class="kw"> such that </span><br/><a NAME="E3:15_1_6"/><span class="lab"><font color="Green" title="E4">A7</font></span>: 
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K10" title="SCMFSA_2:func.10">Divide</a> (<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_2.html#T34" onmouseover="rs('scmfsa_2/T34')" onmouseout="rh()">SCMFSA_2:34</a></span>;<br/><a NAME="E4:15_1_6"/><span class="lab"><font color="Green" title="E5">A8</font></span>: 
 <a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="scmfsa_m.html#K5" title="SCMFSA_M:func.5">{</a><span class="default"><font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font></span><a href="scmfsa_m.html#K5" title="SCMFSA_M:func.5">}</a></span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:15_1_6"><span class="lab"><font color="Green" title="E4">A7</font></span></a>, <a class="ref" href="sf_mastr.html#T14" onmouseover="rs('sf_mastr/T14')" onmouseout="rh()">SF_MASTR:14</a></span>;<br/><a NAME="E5:15_1_6"/><span class="kw">then </span><span class="lab"><font color="Green" title="E6">A9</font></span>: 
<font color="Maroon" title="c5">b</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <font color="Maroon" title="c3">i</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="tarski.html#D2" onmouseover="rs('tarski/D2')" onmouseout="rh()">TARSKI:def 2</a></span>;<br/><a NAME="E6:15_1_6"/>
<font color="Maroon" title="c4">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <font color="Maroon" title="c3">i</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:15_1_6"><span class="lab"><font color="Green" title="E5">A8</font></span></a>, <a class="ref" href="tarski.html#D2" onmouseover="rs('tarski/D2')" onmouseout="rh()">TARSKI:def 2</a></span>;<br/><span class="kw">hence </span><a NAME="E7:15_1_6"/>
 not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:15"><span class="lab"><font color="Green" title="E3">A2</font></span></a>, <a class="txt" href="#E3:15_1_6"><span class="lab"><font color="Green" title="E4">A7</font></span></a>, <a class="txt" href="#E5:15_1_6"><span class="lab"><font color="Green" title="E6">A9</font></span></a>, <a class="ref" href="scmfsa7b.html#T10" onmouseover="rs('scmfsa7b/T10')" onmouseout="rh()">SCMFSA7B:10</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_7"><span class="kw">suppose </span></a><a NAME="E1:15_1_7"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font></span><br/><div class="add"><a NAME="E2:15_1_7"/><span class="kw">then </span>
 ex <font color="Olive" title="b1">l</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K11" title="SCMFSA_2:func.11">goto</a> <font color="Olive" title="b1">l</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_2.html#T35" onmouseover="rs('scmfsa_2/T35')" onmouseout="rh()">SCMFSA_2:35</a></span>;<br/><span class="kw">hence </span><a NAME="E3:15_1_7"/>
 not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_8"><span class="kw">suppose </span></a><a NAME="E1:15_1_8"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 7
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font></span><br/><div class="add"><a NAME="E2:15_1_8"/><span class="kw">then </span>
 ex <font color="Olive" title="b1">l</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> ex <font color="Olive" title="b2">a</font> being   <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a> st <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">a</font> <a href="scmfsa_2.html#K12" title="SCMFSA_2:func.12">=0_goto</a> <font color="Olive" title="b1">l</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_2.html#T36" onmouseover="rs('scmfsa_2/T36')" onmouseout="rh()">SCMFSA_2:36</a></span>;<br/><span class="kw">hence </span><a NAME="E3:15_1_8"/>
 not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_9"><span class="kw">suppose </span></a><a NAME="E1:15_1_9"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 8
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font></span><br/><div class="add"><a NAME="E2:15_1_9"/><span class="kw">then </span>
 ex <font color="Olive" title="b1">l</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> ex <font color="Olive" title="b2">a</font> being   <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a> st <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">a</font> <a href="scmfsa_2.html#K13" title="SCMFSA_2:func.13">&gt;0_goto</a> <font color="Olive" title="b1">l</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_2.html#T37" onmouseover="rs('scmfsa_2/T37')" onmouseout="rh()">SCMFSA_2:37</a></span>;<br/><span class="kw">hence </span><a NAME="E3:15_1_9"/>
 not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_10"><span class="kw">suppose </span></a><a NAME="E1:15_1_10"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 9
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font></span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c4">a</font>, <font color="Maroon" title="c5">b</font> being   <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a>, <font color="Maroon" title="c6">f</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">FinSeq-Location</a> <span class="kw"> such that </span><br/><a NAME="E3:15_1_10"/><span class="lab"><font color="Green" title="E4">A10</font></span>: 
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">b</font> <a href="scmfsa_2.html#K14" title="SCMFSA_2:func.14">:=</a> (<font color="Maroon" title="c6">f</font>,<font color="Maroon" title="c4">a</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_2.html#T38" onmouseover="rs('scmfsa_2/T38')" onmouseout="rh()">SCMFSA_2:38</a></span>;<br/><a NAME="E4:15_1_10"/>
 <a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="scmfsa_m.html#K5" title="SCMFSA_M:func.5">{</a><span class="default"><font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font></span><a href="scmfsa_m.html#K5" title="SCMFSA_M:func.5">}</a></span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:15_1_10"><span class="lab"><font color="Green" title="E4">A10</font></span></a>, <a class="ref" href="sf_mastr.html#T17" onmouseover="rs('sf_mastr/T17')" onmouseout="rh()">SF_MASTR:17</a></span>;<br/><a NAME="E5:15_1_10"/><span class="kw">then </span>
<font color="Maroon" title="c5">b</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <font color="Maroon" title="c3">i</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="tarski.html#D2" onmouseover="rs('tarski/D2')" onmouseout="rh()">TARSKI:def 2</a></span>;<br/><span class="kw">hence </span><a NAME="E6:15_1_10"/>
 not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:15"><span class="lab"><font color="Green" title="E3">A2</font></span></a>, <a class="txt" href="#E3:15_1_10"><span class="lab"><font color="Green" title="E4">A10</font></span></a>, <a class="ref" href="scmfsa7b.html#T14" onmouseover="rs('scmfsa7b/T14')" onmouseout="rh()">SCMFSA7B:14</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_11"><span class="kw">suppose </span></a><a NAME="E1:15_1_11"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 10
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font></span><br/><div class="add"><a NAME="E2:15_1_11"/><span class="kw">then </span>
 ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a> ex <font color="Olive" title="b3">f</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">FinSeq-Location</a>  st <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> (<font color="Olive" title="b3">f</font>,<font color="Olive" title="b1">a</font>) <a href="scmfsa_2.html#K15" title="SCMFSA_2:func.15">:=</a> <font color="Olive" title="b2">b</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_2.html#T39" onmouseover="rs('scmfsa_2/T39')" onmouseout="rh()">SCMFSA_2:39</a></span>;<br/><span class="kw">hence </span><a NAME="E3:15_1_11"/>
 not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa7b.html#T15" onmouseover="rs('scmfsa7b/T15')" onmouseout="rh()">SCMFSA7B:15</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_12"><span class="kw">suppose </span></a><a NAME="E1:15_1_12"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 11
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font></span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c4">a</font> being   <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a>, <font color="Maroon" title="c5">f</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">FinSeq-Location</a> <span class="kw"> such that </span><br/><a NAME="E3:15_1_12"/><span class="lab"><font color="Green" title="E4">A11</font></span>: 
<font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">a</font> <a href="scmfsa_2.html#K16" title="SCMFSA_2:func.16">:=len</a> <font color="Maroon" title="c5">f</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_2.html#T40" onmouseover="rs('scmfsa_2/T40')" onmouseout="rh()">SCMFSA_2:40</a></span>;<br/><a NAME="E4:15_1_12"/>
 <a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="scmfsa_m.html#K4" title="SCMFSA_M:func.4">{</a><span class="default"><font color="Maroon" title="c4">a</font></span><a href="scmfsa_m.html#K4" title="SCMFSA_M:func.4">}</a></span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:15_1_12"><span class="lab"><font color="Green" title="E4">A11</font></span></a>, <a class="ref" href="sf_mastr.html#T18" onmouseover="rs('sf_mastr/T18')" onmouseout="rh()">SF_MASTR:18</a></span>;<br/><a NAME="E5:15_1_12"/><span class="kw">then </span>
<font color="Maroon" title="c4">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="sf_mastr.html#K1" title="SF_MASTR:func.1">UsedIntLoc</a> <font color="Maroon" title="c3">i</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="tarski.html#D1" onmouseover="rs('tarski/D1')" onmouseout="rh()">TARSKI:def 1</a></span>;<br/><span class="kw">hence </span><a NAME="E6:15_1_12"/>
 not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:15"><span class="lab"><font color="Green" title="E3">A2</font></span></a>, <a class="txt" href="#E3:15_1_12"><span class="lab"><font color="Green" title="E4">A11</font></span></a>, <a class="ref" href="scmfsa7b.html#T16" onmouseover="rs('scmfsa7b/T16')" onmouseout="rh()">SCMFSA7B:16</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_13"><span class="kw">suppose </span></a><a NAME="E1:15_1_13"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 12
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font></span><br/><div class="add"><a NAME="E2:15_1_13"/><span class="kw">then </span>
 ex <font color="Olive" title="b1">a</font> being   <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a> ex <font color="Olive" title="b2">f</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">FinSeq-Location</a>  st <font color="Maroon" title="c3">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">f</font> <a href="scmfsa_2.html#K17" title="SCMFSA_2:func.17">:=&lt;0,...,0&gt;</a> <font color="Olive" title="b1">a</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_2.html#T41" onmouseover="rs('scmfsa_2/T41')" onmouseout="rh()">SCMFSA_2:41</a></span>;<br/><span class="kw">hence </span><a NAME="E3:15_1_13"/>
 not <font color="Maroon" title="c3">i</font> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c1">aa</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa7b.html#T17" onmouseover="rs('scmfsa7b/T17')" onmouseout="rh()">SCMFSA7B:17</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div>

</div>
