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<b>let </b><font color="Maroon" title="c1">N</font> be  <a href="setfam_1.html#V1" title="SETFAM_1:attr.1">with_non-empty_elements</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</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">IL</font> being non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> <br/> for <font color="Olive" title="b2">S</font> being <a href="ami_1.html#V2" title="AMI_1:attr.2">stored-program</a>  <a href="ami_1.html#L1" title="AMI_1:struct.1">AMI-Struct</a> of <font color="Olive" title="b1">IL</font>,<font color="Maroon" title="c1">N</font><br/> for <font color="Olive" title="b3">I</font> being  <a href="ami_1.html#NM4" title="AMI_1:NM.4">Instruction</a> of <font color="Olive" title="b2">S</font>  st <font color="Olive" title="b3">I</font> is <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a> holds <br/><font color="Olive" title="b3">I</font> is <a href="amistd_2.html#V10" title="AMISTD_2:attr.10">Exec-preserving</a></span><br/><b>let </b><font color="Maroon" title="c2">IL</font> be  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</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">S</font> being <a href="ami_1.html#V2" title="AMI_1:attr.2">stored-program</a>  <a href="ami_1.html#L1" title="AMI_1:struct.1">AMI-Struct</a> of <font color="Maroon" title="c2">IL</font>,<font color="Maroon" title="c1">N</font><br/> for <font color="Olive" title="b2">I</font> being  <a href="ami_1.html#NM4" title="AMI_1:NM.4">Instruction</a> of <font color="Olive" title="b1">S</font>  st <font color="Olive" title="b2">I</font> is <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a> holds <br/><font color="Olive" title="b2">I</font> is <a href="amistd_2.html#V10" title="AMISTD_2:attr.10">Exec-preserving</a></span><br/><b>let </b><font color="Maroon" title="c3">S</font> be  <a href="ami_1.html#V2" title="AMI_1:attr.2">stored-program</a>  <a href="ami_1.html#L1" title="AMI_1:struct.1">AMI-Struct</a> of <font color="Maroon" title="c2">IL</font>,<font color="Maroon" title="c1">N</font>; <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 <font color="Maroon" title="c3">S</font>  st <font color="Olive" title="b1">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="amistd_2.html#V10" title="AMISTD_2:attr.10">Exec-preserving</a></span><br/><b>let </b><font color="Maroon" title="c4">I</font> be   <a href="ami_1.html#NM4" title="AMI_1:NM.4">Instruction</a> of <font color="Maroon" title="c3">S</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c4">I</font> is <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a> implies <font color="Maroon" title="c4">I</font> is <a href="amistd_2.html#V10" title="AMISTD_2:attr.10">Exec-preserving</a> )</span><br/>







<b>assume </b><a NAME="E1:98"/><i><font color="Green" title="E51">A1</font></i>: 
for <font color="Olive" title="b1">s</font> being  <a href="ami_1.html#NM5" title="AMI_1:NM.5">State</a> of <font color="Maroon" title="c3">S</font> holds   <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<font color="Olive" title="b1">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">s</font>
 ; <i><font color="Red">:: according to </font></i><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:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">I</font> is <a href="amistd_2.html#V10" title="AMISTD_2:attr.10">Exec-preserving</a></span><br/>

<b>let </b><font color="Maroon" title="c5">s1</font>, <font color="Maroon" title="c6">s2</font> be   <a href="ami_1.html#NM5" title="AMI_1:NM.5">State</a> of <font color="Maroon" title="c3">S</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="amistd_2.html#D19" target="_self" title="AMISTD_2:def.19">AMISTD_2:def 19</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c5">s1</font>,<font color="Maroon" title="c6">s2</font> <a href="funct_7.html#R1" title="FUNCT_7:pred.1">equal_outside</a> <font color="Maroon" title="c2">IL</font> implies  <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c5">s1</font>, <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c6">s2</font> <a href="funct_7.html#R1" title="FUNCT_7:pred.1">equal_outside</a> <font color="Maroon" title="c2">IL</font> )</span><br/>

<b>assume </b><a NAME="E2:98"/><i><font color="Green" title="E52">A2</font></i>: 
<font color="Maroon" title="c5">s1</font>,<font color="Maroon" title="c6">s2</font> <a href="funct_7.html#R1" title="FUNCT_7:pred.1">equal_outside</a> <font color="Maroon" title="c2">IL</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c5">s1</font>, <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c6">s2</font> <a href="funct_7.html#R1" title="FUNCT_7:pred.1">equal_outside</a> <font color="Maroon" title="c2">IL</font></span><br/>

<a NAME="E3:98"/>
(  <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c5">s1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">s1</font> &amp;  <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c6">s2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">s2</font> )
 
<b>by </b><i><a class="txt" href="amistd_2.html#E1:98"><i><font color="Green" title="E51">A1</font></i></a></i>;<br/>
<b>hence </b><a NAME="E4:98"/>
 <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c5">s1</font>, <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<font color="Maroon" title="c6">s2</font> <a href="funct_7.html#R1" title="FUNCT_7:pred.1">equal_outside</a> <font color="Maroon" title="c2">IL</font>
 <b>by </b><i><a class="txt" href="amistd_2.html#E2:98"><i><font color="Green" title="E52">A2</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/>


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