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<b>let </b><font color="Maroon" title="c1">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> ;<br/><b>let </b><font color="Maroon" title="c2">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="c3">S</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> <a href="ami_1.html#V2" title="AMI_1:attr.2">stored-program</a> <a href="ami_1.html#V4" title="AMI_1:attr.4">halting</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#V9" title="AMI_1:attr.9">realistic</a>  <a href="ami_1.html#L1" title="AMI_1:struct.1">AMI-Struct</a> of <font color="Maroon" title="c1">IL</font>,<font color="Maroon" title="c2">N</font>;<br/><b>let </b><font color="Maroon" title="c4">p</font> be   <a href="ami_1.html#NM8" title="AMI_1:NM.8">pre-program</a> of <font color="Maroon" title="c3">S</font>;<br/><b>let </b><font color="Maroon" title="c5">F</font> be   <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of  <a href="ami_1.html#K14" title="AMI_1:func.14">FinPartSt</a> <font color="Maroon" title="c3">S</font>, <a href="ami_1.html#K14" title="AMI_1:func.14">FinPartSt</a> <font color="Maroon" title="c3">S</font>;<br/>









<b>assume </b><a NAME="E1:91"/><i><font color="Green" title="E46">A1</font></i>: 
<font color="Maroon" title="c5">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  <a href="funcop_1.html#K16" title="FUNCOP_1:func.16">.--&gt;</a> <span class="p1">(<span class="default"><a href="ami_1.html#K18" title="AMI_1:func.18">Result</a> <font color="Maroon" title="c4">p</font></span>)</span>
 ;<br/>

<b>take </b>
<font color="Maroon" title="c4">p</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="ami_1.html#D30" target="_self" title="AMI_1:def.30">AMI_1:def 30</a><br/>

<b>thus </b><a NAME="E2:91"/>
<font color="Maroon" title="c4">p</font> <a href="ami_1.html#R1" title="AMI_1:pred.1">computes</a> <font color="Maroon" title="c5">F</font>
 <b>by </b><i><a class="txt" href="ami_1.html#E1:91"><i><font color="Green" title="E46">A1</font></i></a>, <a class="ref" href="ami_1.html#T69" target="_self" title="AMI_1:th.69">Th69</a></i>;<br/>


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