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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#V2" title="STRUCT_0:attr.2">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#V7" title="AMI_1:attr.7">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">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="E1:30"/><i><font color="Green" title="E18">A1</font></i>: 
<font color="Maroon" title="c3">I</font> is <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a>
 ;<br/>

 <a href="ami_7.html#K5" title="AMI_7:func.5">Input</a> <font color="Maroon" title="c3">I</font> = 
<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <span class="p1">(<span class="default"><a href="ami_7.html#K3" title="AMI_7:func.3">Out_\_Inp</a> <font color="Maroon" title="c3">I</font></span>)</span>
<b>by </b><i><a class="txt" href="ami_7.html#E1:30"><i><font color="Green" title="E18">A1</font></i></a>, <a class="ref" href="ami_7.html#T20" target="_self" title="AMI_7:th.20">Th20</a></i>
<br/>.= 
 <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 

;<br/>
<b>hence </b><a NAME="E3:30"/>
 <a href="ami_7.html#K5" title="AMI_7:func.5">Input</a> <font color="Maroon" title="c3">I</font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>
 ;<br/>


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