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<span class="kw">let </span><font color="Maroon" title="c1">i</font> be   <a href="ami_1.html#NM2" title="AMI_1:NM.2">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:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">a</font> being   <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">Int-Location</a>   st <font color="Maroon" title="c1">i</font> <a href="scmfsa7b.html#R1" title="SCMFSA7B:pred.1">does_not_refer</a> <font color="Olive" title="b1">a</font> holds <br/> <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Macro</a> <font color="Maroon" title="c1">i</font> <a href="scmfsa7b.html#R2" title="SCMFSA7B:pred.2">does_not_refer</a> <font color="Olive" title="b1">a</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">a</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"> ( <font color="Maroon" title="c1">i</font> <a href="scmfsa7b.html#R1" title="SCMFSA7B:pred.1">does_not_refer</a> <font color="Maroon" title="c2">a</font> implies  <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Macro</a> <font color="Maroon" title="c1">i</font> <a href="scmfsa7b.html#R2" title="SCMFSA7B:pred.2">does_not_refer</a> <font color="Maroon" title="c2">a</font> )</span><br/>



<a NAME="E1:77"/><span class="lab"><font color="Green" title="E55">A1</font></span>: 
 <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Macro</a> <font color="Maroon" title="c1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><font color="Maroon" title="c1">i</font>,<span class="p2">(<span class="default"><a href="ami_1.html#K5" title="AMI_1:func.5">halt</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> </span>)</span></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T67" title="FUNCT_4:th.67">FUNCT_4:67</a></span>;<br/>
<span class="kw">assume </span><a NAME="E2:77"/><span class="lab"><font color="Green" title="E56">A2</font></span>: 
<font color="Maroon" title="c1">i</font> <a href="scmfsa7b.html#R1" title="SCMFSA7B:pred.1">does_not_refer</a> <font color="Maroon" title="c2">a</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Macro</a> <font color="Maroon" title="c1">i</font> <a href="scmfsa7b.html#R2" title="SCMFSA7B:pred.2">does_not_refer</a> <font color="Maroon" title="c2">a</font></span><br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="77_1"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c3">ii</font> be   <a href="ami_1.html#NM2" title="AMI_1:NM.2">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:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c3">ii</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Macro</a> <font color="Maroon" title="c1">i</font></span>)</span> implies <font color="Maroon" title="c3">ii</font> <a href="scmfsa7b.html#R1" title="SCMFSA7B:pred.1">does_not_refer</a> <font color="Maroon" title="c2">a</font> )</span><br/><span class="kw">assume </span><a NAME="E1:77_1"/>
<font color="Maroon" title="c3">ii</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Macro</a> <font color="Maroon" title="c1">i</font></span>)</span>
 ; <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="c3">ii</font> <a href="scmfsa7b.html#R1" title="SCMFSA7B:pred.1">does_not_refer</a> <font color="Maroon" title="c2">a</font></span><br/><a NAME="E2:77_1"/><span class="kw">then </span>
( <font color="Maroon" title="c3">ii</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">i</font> or <font color="Maroon" title="c3">ii</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K5" title="AMI_1:func.5">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="txt" href="#E1:77"><span class="lab"><font color="Green" title="E55">A1</font></span></a>, <a class="ref" href="tarski.html#D2" title="TARSKI:def.2">TARSKI:def 2</a></span>;<br/><span class="kw">hence </span><a NAME="E3:77_1"/>
<font color="Maroon" title="c3">ii</font> <a href="scmfsa7b.html#R1" title="SCMFSA7B:pred.1">does_not_refer</a> <font color="Maroon" title="c2">a</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:77"><span class="lab"><font color="Green" title="E56">A2</font></span></a>, <a class="ref" href="scmfsa8c.html#T78" target="_self" title="SCMFSA8C:th.78">Th78</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/></div><span class="kw">end;</span></div>
<span class="kw">hence </span><a NAME="E4:77"/>
 <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">Macro</a> <font color="Maroon" title="c1">i</font> <a href="scmfsa7b.html#R2" title="SCMFSA7B:pred.2">does_not_refer</a> <font color="Maroon" title="c2">a</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa7b.html#D2" title="SCMFSA7B:def.2">SCMFSA7B:def 2</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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