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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="ami_3.html#K1" title="AMI_3:func.1">SCM</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> being  <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>   st <font color="Maroon" title="c1">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">I</font> &amp; <font color="Maroon" title="c1">i</font> is  <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a>  holds <br/><font color="Olive" title="b1">I</font> is  <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c2">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"> ( <font color="Maroon" title="c1">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">I</font> &amp; <font color="Maroon" title="c1">i</font> is  <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a>  implies <font color="Maroon" title="c2">I</font> is  <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a>  )</span><br/>



<span class="kw">assume </span><a NAME="E1:99"/><span class="lab"><font color="Green" title="E55">A1</font></span>: 
<font color="Maroon" title="c1">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">I</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> (  not <font color="Maroon" title="c1">i</font> is  <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a>  or <font color="Maroon" title="c2">I</font> is  <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E2:99"/><span class="lab"><font color="Green" title="E56">A2</font></span>: 
<font color="Maroon" title="c1">i</font> is  <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</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="c2">I</font> is  <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a> </span><br/>

<span class="kw">let </span><font color="Maroon" title="c3">S</font> be   <a href="ami_1.html#NM5" title="AMI_1:NM.5">State</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> ; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="ami_1.html#D8" title="AMI_1:def.8">AMI_1:def 8</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c2">I</font>,<font color="Maroon" title="c3">S</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">S</font></span><br/>

<span class="kw">reconsider </span><font color="Maroon" title="c4">s</font> = <span class="p1">(<span class="default"><font color="Maroon" title="c3">S</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <a href="ami_2.html#K3" title="AMI_2:func.3">SCM-Memory</a> </span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><a href="scmfsa_1.html#K5" title="SCMFSA_1:func.5">NAT</a>  <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <font color="Maroon" title="c1">i</font></span>)</span> as   <a href="ami_1.html#NM5" title="AMI_1:NM.5">State</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_2.html#T73" target="_self" title="SCMFSA_2:th.73">Th73</a></span>;<br/>
<span class="kw">thus </span> <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c2">I</font>,<font color="Maroon" title="c3">S</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c3">S</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c4">s</font></span>)</span></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">S</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <a href="scmfsa_1.html#K5" title="SCMFSA_1:func.5">NAT</a> </span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:99"><span class="lab"><font color="Green" title="E55">A1</font></span></a>, <a class="ref" href="scmfsa_2.html#T75" target="_self" title="SCMFSA_2:th.75">Th75</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c3">S</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">S</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <a href="scmfsa_1.html#K5" title="SCMFSA_1:func.5">NAT</a> </span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:99"><span class="lab"><font color="Green" title="E56">A2</font></span></a>, <a class="ref" href="ami_1.html#D8" title="AMI_1:def.8">AMI_1:def 8</a></span>
<br/>.= 
<font color="Maroon" title="c3">S</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_2.html#T76" target="_self" title="SCMFSA_2:th.76">Th76</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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