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<b>let </b><font color="Maroon" title="c1">k</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</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">i</font> being  <a href="ami_1.html#NM4" title="AMI_1:NM.4">Instruction</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> <br/> for <font color="Olive" title="b2">I</font> being  <a href="ami_1.html#NM4" title="AMI_1:NM.4">Instruction</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>   st <font color="Olive" title="b1">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">I</font> holds <br/> <a href="scmfsa_4.html#K1" title="SCMFSA_4:func.1">IncAddr</a> <font color="Olive" title="b1">i</font>,<font color="Maroon" title="c1">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="reloc.html#K1" title="RELOC:func.1">IncAddr</a> <font color="Olive" title="b2">I</font>,<font color="Maroon" title="c1">k</font></span><br/><b>let </b><font color="Maroon" title="c2">i</font> be   <a href="ami_1.html#NM4" title="AMI_1:NM.4">Instruction</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</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">I</font> being  <a href="ami_1.html#NM4" title="AMI_1:NM.4">Instruction</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>   st <font color="Maroon" title="c2">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">I</font> holds <br/> <a href="scmfsa_4.html#K1" title="SCMFSA_4:func.1">IncAddr</a> <font color="Maroon" title="c2">i</font>,<font color="Maroon" title="c1">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="reloc.html#K1" title="RELOC:func.1">IncAddr</a> <font color="Olive" title="b1">I</font>,<font color="Maroon" title="c1">k</font></span><br/><b>let </b><font color="Maroon" title="c3">I</font> be   <a href="ami_1.html#NM4" title="AMI_1:NM.4">Instruction</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">I</font> implies  <a href="scmfsa_4.html#K1" title="SCMFSA_4:func.1">IncAddr</a> <font color="Maroon" title="c2">i</font>,<font color="Maroon" title="c1">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="reloc.html#K1" title="RELOC:func.1">IncAddr</a> <font color="Maroon" title="c3">I</font>,<font color="Maroon" title="c1">k</font> )</span><br/>





<b>assume </b><a NAME="E1:15"/><i><font color="Green" title="E16">A1</font></i>: 
<font color="Maroon" title="c2">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">I</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="scmfsa_4.html#K1" title="SCMFSA_4:func.1">IncAddr</a> <font color="Maroon" title="c2">i</font>,<font color="Maroon" title="c1">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="reloc.html#K1" title="RELOC:func.1">IncAddr</a> <font color="Maroon" title="c3">I</font>,<font color="Maroon" title="c1">k</font></span><br/>

<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:15_1"/>
(  <a href="ami_1.html#K21" title="AMI_1:func.21">InsCode</a> <font color="Maroon" title="c2">i</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default">6,7,8</span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span> or  not  <a href="ami_1.html#K21" title="AMI_1:func.21">InsCode</a> <font color="Maroon" title="c2">i</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default">6,7,8</span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="15_1_1"><b>suppose </b></a><a NAME="E1:15_1_1"/>
 <a href="ami_1.html#K21" title="AMI_1:func.21">InsCode</a> <font color="Maroon" title="c2">i</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default">6,7,8</span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="scmfsa_4.html#K1" title="SCMFSA_4:func.1">IncAddr</a> <font color="Maroon" title="c2">i</font>,<font color="Maroon" title="c1">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="reloc.html#K1" title="RELOC:func.1">IncAddr</a> <font color="Maroon" title="c3">I</font>,<font color="Maroon" title="c1">k</font></span><br/><div class="add"><a NAME="E2:15_1_1"/><b>then </b>
 ex <font color="Olive" title="b1">I</font> being  <a href="ami_1.html#NM4" title="AMI_1:NM.4">Instruction</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>  st <br/>( <font color="Olive" title="b1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">i</font> &amp;  <a href="scmfsa_4.html#K1" title="SCMFSA_4:func.1">IncAddr</a> <font color="Maroon" title="c2">i</font>,<font color="Maroon" title="c1">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="reloc.html#K1" title="RELOC:func.1">IncAddr</a> <font color="Olive" title="b1">I</font>,<font color="Maroon" title="c1">k</font> )
 <b>by </b><i><a class="ref" href="scmfsa_4.html#D3" target="_self" title="SCMFSA_4:def.3">Def3</a></i>;<br/><b>hence </b><a NAME="E3:15_1_1"/>
 <a href="scmfsa_4.html#K1" title="SCMFSA_4:func.1">IncAddr</a> <font color="Maroon" title="c2">i</font>,<font color="Maroon" title="c1">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="reloc.html#K1" title="RELOC:func.1">IncAddr</a> <font color="Maroon" title="c3">I</font>,<font color="Maroon" title="c1">k</font>
 <b>by </b><i><a class="txt" href="#E1:15"><i><font color="Green" title="E16">A1</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="hsNdiv(this)" href="javascript:()" title="15_1_2"><b>suppose </b></a><a NAME="E1:15_1_2"/><i><font color="Green" title="E17">A2</font></i>: 
not  <a href="ami_1.html#K21" title="AMI_1:func.21">InsCode</a> <font color="Maroon" title="c2">i</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default">6,7,8</span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="scmfsa_4.html#K1" title="SCMFSA_4:func.1">IncAddr</a> <font color="Maroon" title="c2">i</font>,<font color="Maroon" title="c1">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="reloc.html#K1" title="RELOC:func.1">IncAddr</a> <font color="Maroon" title="c3">I</font>,<font color="Maroon" title="c1">k</font></span><br/><div class="add"><a NAME="E2:15_1_2"/><b>then </b><i><font color="Green" title="E18">A3</font></i>: 
(  <a href="ami_1.html#NK20" title="AMI_1:NK.20">InsCode</a> <font color="Maroon" title="c3">I</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 6 &amp;  <a href="ami_1.html#NK20" title="AMI_1:NK.20">InsCode</a> <font color="Maroon" title="c3">I</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 7 &amp;  <a href="ami_1.html#NK20" title="AMI_1:NK.20">InsCode</a> <font color="Maroon" title="c3">I</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 8 )
 <b>by </b><i><a class="txt" href="#E1:15"><i><font color="Green" title="E16">A1</font></i></a>, <a class="ref" href="enumset1.html#D1" title="ENUMSET1:def.1">ENUMSET1:def 1</a></i>;<br/><b>thus </b> <a href="scmfsa_4.html#K1" title="SCMFSA_4:func.1">IncAddr</a> <font color="Maroon" title="c2">i</font>,<font color="Maroon" title="c1">k</font> = 
<font color="Maroon" title="c2">i</font>
<b>by </b><i><a class="txt" href="#E1:15_1_2"><i><font color="Green" title="E17">A2</font></i></a>, <a class="ref" href="scmfsa_4.html#D3" target="_self" title="SCMFSA_4:def.3">Def3</a></i>
<br/>.= 
 <a href="reloc.html#K1" title="RELOC:func.1">IncAddr</a> <font color="Maroon" title="c3">I</font>,<font color="Maroon" title="c1">k</font>
<b>by </b><i><a class="txt" href="#E1:15"><i><font color="Green" title="E16">A1</font></i></a>, <a class="txt" href="#E2:15_1_2"><i><font color="Green" title="E18">A3</font></i></a>, <a class="ref" href="reloc.html#D3" title="RELOC:def.3">RELOC:def 3</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><b>end;</b></div>

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