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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">S</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#V10" title="AMI_1:attr.10">realistic</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">p</font> be    <a href="ami_1.html#M1" title="AMI_1:mode.1">FinPartState</a> of <font color="Maroon" title="c2">S</font>;<br/>





<b>assume </b><a NAME="E1:60"/><i><font color="Green" title="E39">A1</font></i>: 
 <a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <font color="Maroon" title="c2">S</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <font color="Maroon" title="c3">p</font>
 ;<br/>

<b>assume </b><a NAME="E2:60"/>
<font color="Maroon" title="c3">p</font> is <a href="ami_3.html#V1" title="AMI_3:attr.1">programmed</a>
 ;<br/>

<a NAME="E3:60"/><b>then </b>
 <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <font color="Maroon" title="c3">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><a href="ami_5.html#K6" title="AMI_5:func.6">ProgramPart</a> <font color="Maroon" title="c3">p</font></span>)</span>
 
<b>by </b><i><a class="ref" href="ami_5.html#T72" target="_self" title="AMI_5:th.72">Th72</a></i>;<br/>
<b>hence </b><a NAME="E4:60"/>
contradiction
 <b>by </b><i><a class="txt" href="ami_5.html#E1:60"><i><font color="Green" title="E39">A1</font></i></a>, <a class="ref" href="ami_5.html#T66" target="_self" title="AMI_5:th.66">Th66</a></i>;<br/>


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