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<span class="kw">let </span><font color="Maroon" title="c3">p</font> be   <a href="compos_1.html#NM2" title="COMPOS_1:NM.2">Instruction-Sequence</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">  for <font color="Olive" title="b1">s</font> being   <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</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="amistd_1.html#V4" title="AMISTD_1:attr.4">sequential</a>   <a href="sfmastr1.html#V1" title="SFMASTR1:attr.1">good</a>  <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><br/>  for <font color="Olive" title="b3">J</font> being   <a href="amistd_1.html#V5" title="AMISTD_1:attr.5">really-closed</a>  <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 ( <font color="Olive" title="b3">J</font> is  <a href="amistd_1.html#V6" title="AMISTD_1:attr.6">parahalting</a>  or <font color="Olive" title="b3">J</font> <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_halting_on</a>  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Olive" title="b2">i</font>,<span class="p1">(<span class="default"><a href="scmfsa_m.html#K1" title="SCMFSA_M:func.1">Initialized</a> <font color="Olive" title="b1">s</font></span>)</span>),<font color="Maroon" title="c3">p</font> ) holds <br/> <a href="memstr_0.html#K6" title="MEMSTR_0:func.6">DataPart</a> <span class="p1">(<span class="default"><a href="scmfsa6b.html#K1" title="SCMFSA6B:func.1">IExec</a> (<span class="p2">(<span class="default"><font color="Olive" title="b2">i</font> <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">";"</a> <font color="Olive" title="b3">J</font></span>)</span>,<font color="Maroon" title="c3">p</font>,<font color="Olive" title="b1">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K6" title="MEMSTR_0:func.6">DataPart</a> <span class="p1">(<span class="default"><a href="scmfsa6b.html#K1" title="SCMFSA6B:func.1">IExec</a> (<font color="Olive" title="b3">J</font>,<font color="Maroon" title="c3">p</font>,<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Olive" title="b2">i</font>,<span class="p3">(<span class="default"><a href="scmfsa_m.html#K1" title="SCMFSA_M:func.1">Initialized</a> <font color="Olive" title="b1">s</font></span>)</span>)</span>)</span>)</span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c4">s</font> be   <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</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">  for <font color="Olive" title="b1">i</font> being   <a href="amistd_1.html#V4" title="AMISTD_1:attr.4">sequential</a>   <a href="sfmastr1.html#V1" title="SFMASTR1:attr.1">good</a>  <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><br/>  for <font color="Olive" title="b2">J</font> being   <a href="amistd_1.html#V5" title="AMISTD_1:attr.5">really-closed</a>  <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 ( <font color="Olive" title="b2">J</font> is  <a href="amistd_1.html#V6" title="AMISTD_1:attr.6">parahalting</a>  or <font color="Olive" title="b2">J</font> <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_halting_on</a>  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Olive" title="b1">i</font>,<span class="p1">(<span class="default"><a href="scmfsa_m.html#K1" title="SCMFSA_M:func.1">Initialized</a> <font color="Maroon" title="c4">s</font></span>)</span>),<font color="Maroon" title="c3">p</font> ) holds <br/> <a href="memstr_0.html#K6" title="MEMSTR_0:func.6">DataPart</a> <span class="p1">(<span class="default"><a href="scmfsa6b.html#K1" title="SCMFSA6B:func.1">IExec</a> (<span class="p2">(<span class="default"><font color="Olive" title="b1">i</font> <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">";"</a> <font color="Olive" title="b2">J</font></span>)</span>,<font color="Maroon" title="c3">p</font>,<font color="Maroon" title="c4">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K6" title="MEMSTR_0:func.6">DataPart</a> <span class="p1">(<span class="default"><a href="scmfsa6b.html#K1" title="SCMFSA6B:func.1">IExec</a> (<font color="Olive" title="b2">J</font>,<font color="Maroon" title="c3">p</font>,<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Olive" title="b1">i</font>,<span class="p3">(<span class="default"><a href="scmfsa_m.html#K1" title="SCMFSA_M:func.1">Initialized</a> <font color="Maroon" title="c4">s</font></span>)</span>)</span>)</span>)</span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c5">i</font> be   <a href="amistd_1.html#V4" title="AMISTD_1:attr.4">sequential</a>   <a href="sfmastr1.html#V1" title="SFMASTR1:attr.1">good</a>  <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>; <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">J</font> being   <a href="amistd_1.html#V5" title="AMISTD_1:attr.5">really-closed</a>  <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 ( <font color="Olive" title="b1">J</font> is  <a href="amistd_1.html#V6" title="AMISTD_1:attr.6">parahalting</a>  or <font color="Olive" title="b1">J</font> <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_halting_on</a>  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c5">i</font>,<span class="p1">(<span class="default"><a href="scmfsa_m.html#K1" title="SCMFSA_M:func.1">Initialized</a> <font color="Maroon" title="c4">s</font></span>)</span>),<font color="Maroon" title="c3">p</font> ) holds <br/> <a href="memstr_0.html#K6" title="MEMSTR_0:func.6">DataPart</a> <span class="p1">(<span class="default"><a href="scmfsa6b.html#K1" title="SCMFSA6B:func.1">IExec</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c5">i</font> <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">";"</a> <font color="Olive" title="b1">J</font></span>)</span>,<font color="Maroon" title="c3">p</font>,<font color="Maroon" title="c4">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K6" title="MEMSTR_0:func.6">DataPart</a> <span class="p1">(<span class="default"><a href="scmfsa6b.html#K1" title="SCMFSA6B:func.1">IExec</a> (<font color="Olive" title="b1">J</font>,<font color="Maroon" title="c3">p</font>,<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c5">i</font>,<span class="p3">(<span class="default"><a href="scmfsa_m.html#K1" title="SCMFSA_M:func.1">Initialized</a> <font color="Maroon" title="c4">s</font></span>)</span>)</span>)</span>)</span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c6">J</font> be   <a href="amistd_1.html#V5" title="AMISTD_1:attr.5">really-closed</a>  <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"> ( ( <font color="Maroon" title="c6">J</font> is  <a href="amistd_1.html#V6" title="AMISTD_1:attr.6">parahalting</a>  or <font color="Maroon" title="c6">J</font> <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_halting_on</a>  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c5">i</font>,<span class="p1">(<span class="default"><a href="scmfsa_m.html#K1" title="SCMFSA_M:func.1">Initialized</a> <font color="Maroon" title="c4">s</font></span>)</span>),<font color="Maroon" title="c3">p</font> ) implies  <a href="memstr_0.html#K6" title="MEMSTR_0:func.6">DataPart</a> <span class="p1">(<span class="default"><a href="scmfsa6b.html#K1" title="SCMFSA6B:func.1">IExec</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c5">i</font> <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">";"</a> <font color="Maroon" title="c6">J</font></span>)</span>,<font color="Maroon" title="c3">p</font>,<font color="Maroon" title="c4">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K6" title="MEMSTR_0:func.6">DataPart</a> <span class="p1">(<span class="default"><a href="scmfsa6b.html#K1" title="SCMFSA6B:func.1">IExec</a> (<font color="Maroon" title="c6">J</font>,<font color="Maroon" title="c3">p</font>,<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c5">i</font>,<span class="p3">(<span class="default"><a href="scmfsa_m.html#K1" title="SCMFSA_M:func.1">Initialized</a> <font color="Maroon" title="c4">s</font></span>)</span>)</span>)</span>)</span>)</span> )</span><br/>







<span class="kw">assume </span><a NAME="E1:31"/><span class="lab"><font color="Green" title="E14">A1</font></span>: 
( <font color="Maroon" title="c6">J</font> is  <a href="amistd_1.html#V6" title="AMISTD_1:attr.6">parahalting</a>  or <font color="Maroon" title="c6">J</font> <a href="scmfsa7b.html#R5" title="SCMFSA7B:pred.5">is_halting_on</a>  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c5">i</font>,<span class="p1">(<span class="default"><a href="scmfsa_m.html#K1" title="SCMFSA_M:func.1">Initialized</a> <font color="Maroon" title="c4">s</font></span>)</span>),<font color="Maroon" title="c3">p</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">  <a href="memstr_0.html#K6" title="MEMSTR_0:func.6">DataPart</a> <span class="p1">(<span class="default"><a href="scmfsa6b.html#K1" title="SCMFSA6B:func.1">IExec</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c5">i</font> <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">";"</a> <font color="Maroon" title="c6">J</font></span>)</span>,<font color="Maroon" title="c3">p</font>,<font color="Maroon" title="c4">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K6" title="MEMSTR_0:func.6">DataPart</a> <span class="p1">(<span class="default"><a href="scmfsa6b.html#K1" title="SCMFSA6B:func.1">IExec</a> (<font color="Maroon" title="c6">J</font>,<font color="Maroon" title="c3">p</font>,<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c5">i</font>,<span class="p3">(<span class="default"><a href="scmfsa_m.html#K1" title="SCMFSA_M:func.1">Initialized</a> <font color="Maroon" title="c4">s</font></span>)</span>)</span>)</span>)</span>)</span></span><br/>

<a NAME="E2:31"/><span class="kw">then </span><span class="lab"><font color="Green" title="E15">A2</font></span>: 
 for <font color="Olive" title="b1">f</font> being    <a href="scmfsa_2.html#M1" title="SCMFSA_2:mode.1">FinSeq-Location</a>  holds  <span class="p1">(<span class="default"><a href="scmfsa6b.html#K1" title="SCMFSA6B:func.1">IExec</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c5">i</font> <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">";"</a> <font color="Maroon" title="c6">J</font></span>)</span>,<font color="Maroon" title="c3">p</font>,<font color="Maroon" title="c4">s</font>)</span>)</span> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">.</a> <font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmfsa6b.html#K1" title="SCMFSA6B:func.1">IExec</a> (<font color="Maroon" title="c6">J</font>,<font color="Maroon" title="c3">p</font>,<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c5">i</font>,<span class="p3">(<span class="default"><a href="scmfsa_m.html#K1" title="SCMFSA_M:func.1">Initialized</a> <font color="Maroon" title="c4">s</font></span>)</span>)</span>)</span>)</span>)</span> <a href="scmfsa_2.html#K18" title="SCMFSA_2:func.18">.</a> <font color="Olive" title="b1">f</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="sfmastr1.html#T15" target="_self" onmouseover="rs('sfmastr1/T15')" onmouseout="rh()">Th14</a></span>;<br/>
<a NAME="E3:31"/>
 for <font color="Olive" title="b1">a</font> being   <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a> holds  <span class="p1">(<span class="default"><a href="scmfsa6b.html#K1" title="SCMFSA6B:func.1">IExec</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c5">i</font> <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">";"</a> <font color="Maroon" title="c6">J</font></span>)</span>,<font color="Maroon" title="c3">p</font>,<font color="Maroon" title="c4">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmfsa6b.html#K1" title="SCMFSA6B:func.1">IExec</a> (<font color="Maroon" title="c6">J</font>,<font color="Maroon" title="c3">p</font>,<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c5">i</font>,<span class="p3">(<span class="default"><a href="scmfsa_m.html#K1" title="SCMFSA_M:func.1">Initialized</a> <font color="Maroon" title="c4">s</font></span>)</span>)</span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">a</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:31"><span class="lab"><font color="Green" title="E14">A1</font></span></a>, <a class="ref" href="sfmastr1.html#T14" target="_self" onmouseover="rs('sfmastr1/T14')" onmouseout="rh()">Th13</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:31"/>
 <a href="memstr_0.html#K6" title="MEMSTR_0:func.6">DataPart</a> <span class="p1">(<span class="default"><a href="scmfsa6b.html#K1" title="SCMFSA6B:func.1">IExec</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c5">i</font> <a href="scmfsa6a.html#K3" title="SCMFSA6A:func.3">";"</a> <font color="Maroon" title="c6">J</font></span>)</span>,<font color="Maroon" title="c3">p</font>,<font color="Maroon" title="c4">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K6" title="MEMSTR_0:func.6">DataPart</a> <span class="p1">(<span class="default"><a href="scmfsa6b.html#K1" title="SCMFSA6B:func.1">IExec</a> (<font color="Maroon" title="c6">J</font>,<font color="Maroon" title="c3">p</font>,<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c5">i</font>,<span class="p3">(<span class="default"><a href="scmfsa_m.html#K1" title="SCMFSA_M:func.1">Initialized</a> <font color="Maroon" title="c4">s</font></span>)</span>)</span>)</span>)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:31"><span class="lab"><font color="Green" title="E15">A2</font></span></a>, <a class="ref" href="scmfsa_m.html#T2" onmouseover="rs('scmfsa_m/T2')" onmouseout="rh()">SCMFSA_M:2</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/>


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