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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> ;<br/><b>let </b><font color="Maroon" title="c2">A</font> be  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a> non <a href="ami_1.html#V2" title="AMI_1:attr.2">void</a> <a href="ami_1.html#V5" title="AMI_1:attr.5">IC-Ins-separated</a> <a href="ami_1.html#V8" title="AMI_1:attr.8">definite</a>  <a href="ami_1.html#L1" title="AMI_1:struct.1">AMI-Struct</a> of <font color="Maroon" title="c1">N</font>;<br/><b>let </b><font color="Maroon" title="c3">f</font> be   <a href="ami_1.html#NM2" title="AMI_1:NM.2">Instruction-Location</a> of <font color="Maroon" title="c2">A</font>;<br/><b>let </b><font color="Maroon" title="c4">I</font> be   <a href="ami_1.html#NM3" title="AMI_1:NM.3">Instruction</a> of <font color="Maroon" title="c2">A</font>;<br/>







<b>assume </b><a NAME="E1:38"/><i><font color="Green" title="E29">A1</font></i>: 
for <font color="Olive" title="b1">s</font> being  <a href="ami_1.html#NM4" title="AMI_1:NM.4">State</a> of <font color="Maroon" title="c2">A</font><br/> for <font color="Olive" title="b2">p</font> being <a href="ami_3.html#V1" title="AMI_3:attr.1">programmed</a>  <a href="ami_1.html#M1" title="AMI_1:mode.1">FinPartState</a> of <font color="Maroon" title="c2">A</font> holds   <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p1">(<span class="default"><font color="Olive" title="b1">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Olive" title="b2">p</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><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></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Olive" title="b2">p</font>
 ;<br/>

<b>assume </b><a NAME="E2:38"/>
<font color="Maroon" title="c3">f</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="ami_7.html#K4" title="AMI_7:func.4">Out_U_Inp</a> <font color="Maroon" title="c4">I</font>
 ;<br/>

<b>then consider </b><font color="Maroon" title="c5">s</font> being   <a href="ami_1.html#NM4" title="AMI_1:NM.4">State</a> of <font color="Maroon" title="c2">A</font>, <font color="Maroon" title="c6">w</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="ami_1.html#K3" title="AMI_1:func.3">ObjectKind</a> <font color="Maroon" title="c3">f</font><b> such that </b><br/><a NAME="E4:38"/><i><font color="Green" title="E30">A2</font></i>: 
 <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_7.html#K1" title="AMI_7:func.1">+*</a> <font color="Maroon" title="c3">f</font>,<font color="Maroon" title="c6">w</font></span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <span class="p1">(<span class="default"><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">s</font></span>)</span> <a href="ami_7.html#K1" title="AMI_7:func.1">+*</a> <font color="Maroon" title="c3">f</font>,<font color="Maroon" title="c6">w</font>
 <b>by </b><i><a class="ref" href="ami_7.html#D5" target="_self" title="AMI_7:def.5">Def5</a></i>;<br/>
<a NAME="E5:38"/><i><font color="Green" title="E31">A3</font></i>: 
 <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <font color="Maroon" title="c5">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">A</font>
 
<b>by </b><i><a class="ref" href="ami_3.html#T36" title="AMI_3:th.36">AMI_3:36</a></i>;<br/>
<a NAME="E6:38"/><i><font color="Green" title="E32">A4</font></i>: 
 <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><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">s</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">A</font>
 
<b>by </b><i><a class="ref" href="ami_3.html#T36" title="AMI_3:th.36">AMI_3:36</a></i>;<br/>
<b>set </b><font color="Maroon" title="c7">p</font> = <font color="Maroon" title="c3">f</font> <a href="ami_1.html#K15" title="AMI_1:func.15">.--&gt;</a> <font color="Maroon" title="c6">w</font>;<br/>
<a NAME="E7:38"/>
 <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">f</font> <a href="ami_1.html#K15" title="AMI_1:func.15">.--&gt;</a> <font color="Maroon" title="c6">w</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c3">f</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>
 
<b>by </b><i><a class="ref" href="cqc_lang.html#T5" title="CQC_LANG:th.5">CQC_LANG:5</a></i>;<br/>
<a NAME="E8:38"/><b>then </b>
 <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">f</font> <a href="ami_1.html#K15" title="AMI_1:func.15">.--&gt;</a> <font color="Maroon" title="c6">w</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> the <a href="ami_1.html#U2" title="AMI_1:sel.2">Instruction-Locations</a> of <font color="Maroon" title="c2">A</font>
 
<b>by </b><i><a class="ref" href="zfmisc_1.html#T37" title="ZFMISC_1:th.37">ZFMISC_1:37</a></i>;<br/>
<b>then reconsider </b><font color="Maroon" title="c8">p</font> = <font color="Maroon" title="c3">f</font> <a href="ami_1.html#K15" title="AMI_1:func.15">.--&gt;</a> <font color="Maroon" title="c6">w</font> as  <a href="ami_3.html#V1" title="AMI_3:attr.1">programmed</a>  <a href="ami_1.html#M1" title="AMI_1:mode.1">FinPartState</a> of <font color="Maroon" title="c2">A</font> <b>by </b><i><a class="ref" href="ami_3.html#D13" title="AMI_3:def.13">AMI_3:def 13</a></i>;<br/>
<a NAME="E10:38"/><i><font color="Green" title="E33">A5</font></i>: 
<font color="Maroon" title="c5">s</font> <a href="ami_7.html#K1" title="AMI_7:func.1">+*</a> <font color="Maroon" title="c3">f</font>,<font color="Maroon" title="c6">w</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c8">p</font>
 
<b>by </b><i><a class="txt" href="ami_7.html#E5:38"><i><font color="Green" title="E31">A3</font></i></a>, <a class="ref" href="funct_7.html#D3" title="FUNCT_7:def.3">FUNCT_7:def 3</a></i>;<br/>
<a NAME="E11:38"/>
 <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c4">I</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c5">s</font> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c8">p</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><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">s</font></span>)</span> <a href="ami_5.html#K8" title="AMI_5:func.8">+*</a> <font color="Maroon" title="c8">p</font>
 
<b>by </b><i><a class="txt" href="ami_7.html#E1:38"><i><font color="Green" title="E29">A1</font></i></a></i>;<br/>
<b>hence </b><a NAME="E12:38"/>
contradiction
 <b>by </b><i><a class="txt" href="ami_7.html#E4:38"><i><font color="Green" title="E30">A2</font></i></a>, <a class="txt" href="ami_7.html#E6:38"><i><font color="Green" title="E32">A4</font></i></a>, <a class="txt" href="ami_7.html#E10:38"><i><font color="Green" title="E33">A5</font></i></a>, <a class="ref" href="funct_7.html#D3" title="FUNCT_7:def.3">FUNCT_7:def 3</a></i>;<br/>


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