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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">S</font> being 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#V14" title="AMI_1:attr.14">standard-ins</a> <a href="amistd_1.html#V4" title="AMISTD_1:attr.4">standard</a> <a href="amistd_2.html#V6" title="AMISTD_2:attr.6">regular</a>  <a href="ami_1.html#L1" title="AMI_1:struct.1">AMI-Struct</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ,<font color="Maroon" title="c1">N</font><br/> for <font color="Olive" title="b2">F</font> being  <a href="amistd_1.html#NM2" title="AMISTD_1:NM.2">pre-Macro</a> of <font color="Olive" title="b1">S</font> holds  <span class="p1">(<span class="default"><a href="amistd_2.html#K6" title="AMISTD_2:func.6">Stop</a> <font color="Olive" title="b1">S</font></span>)</span> <a href="amistd_2.html#K11" title="AMISTD_2:func.11">';'</a> <font color="Olive" title="b2">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">F</font></span><br/><b>let </b><font color="Maroon" title="c2">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#V14" title="AMI_1:attr.14">standard-ins</a> <a href="amistd_1.html#V4" title="AMISTD_1:attr.4">standard</a> <a href="amistd_2.html#V6" title="AMISTD_2:attr.6">regular</a>  <a href="ami_1.html#L1" title="AMI_1:struct.1">AMI-Struct</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ,<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">F</font> being  <a href="amistd_1.html#NM2" title="AMISTD_1:NM.2">pre-Macro</a> of <font color="Maroon" title="c2">S</font> holds  <span class="p1">(<span class="default"><a href="amistd_2.html#K6" title="AMISTD_2:func.6">Stop</a> <font color="Maroon" title="c2">S</font></span>)</span> <a href="amistd_2.html#K11" title="AMISTD_2:func.11">';'</a> <font color="Olive" title="b1">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">F</font></span><br/><b>let </b><font color="Maroon" title="c3">F</font> be   <a href="amistd_1.html#NM2" title="AMISTD_1:NM.2">pre-Macro</a> of <font color="Maroon" title="c2">S</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <span class="p1">(<span class="default"><a href="amistd_2.html#K6" title="AMISTD_2:func.6">Stop</a> <font color="Maroon" title="c2">S</font></span>)</span> <a href="amistd_2.html#K11" title="AMISTD_2:func.11">';'</a> <font color="Maroon" title="c3">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">F</font></span><br/>





<b>set </b><font color="Maroon" title="c4">k</font> = <span class="p1">(<span class="default"><a href="card_1.html#K5" title="CARD_1:func.5">card</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K6" title="AMISTD_2:func.6">Stop</a> <font color="Maroon" title="c2">S</font></span>)</span></span>)</span> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> 1;<br/>
<a NAME="E1:130"/><i><font color="Green" title="E64">A1</font></i>: 
<span class="p1">(<span class="default"><a href="card_1.html#K5" title="CARD_1:func.5">card</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K6" title="AMISTD_2:func.6">Stop</a> <font color="Maroon" title="c2">S</font></span>)</span></span>)</span> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 
<b>by </b><i><a class="txt" href="amistd_2.html#E45"><i><font color="Green" title="E27">Lm6</font></i></a></i>;<br/>
<b>hence </b><span class="p1">(<span class="default"><a href="amistd_2.html#K6" title="AMISTD_2:func.6">Stop</a> <font color="Maroon" title="c2">S</font></span>)</span> <a href="amistd_2.html#K11" title="AMISTD_2:func.11">';'</a> <font color="Maroon" title="c3">F</font> = 
<span class="p1">(<span class="default"><a href="amistd_2.html#K10" title="AMISTD_2:func.10">CutLastLoc</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K6" title="AMISTD_2:func.6">Stop</a> <font color="Maroon" title="c2">S</font></span>)</span></span>)</span> <a href="ami_1.html#K37" title="AMI_1:func.37">+*</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K9" title="AMISTD_2:func.9">Shift</a> <font color="Maroon" title="c3">F</font>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="card_1.html#K5" title="CARD_1:func.5">card</a> <span class="p4">(<span class="default"><a href="amistd_2.html#K6" title="AMISTD_2:func.6">Stop</a> <font color="Maroon" title="c2">S</font></span>)</span></span>)</span> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="amistd_2.html#T38" target="_self" title="AMISTD_2:th.38">Th38</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="amistd_2.html#K10" title="AMISTD_2:func.10">CutLastLoc</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K6" title="AMISTD_2:func.6">Stop</a> <font color="Maroon" title="c2">S</font></span>)</span></span>)</span> <a href="ami_1.html#K37" title="AMI_1:func.37">+*</a> <font color="Maroon" title="c3">F</font>
<b>by </b><i><a class="txt" href="#E1:130"><i><font color="Green" title="E64">A1</font></i></a>, <a class="ref" href="amistd_2.html#T40" target="_self" title="AMISTD_2:th.40">Th40</a></i>
<br/>.= 
<font color="Maroon" title="c3">F</font>
<b>by </b><i><a class="ref" href="funct_4.html#T21" title="FUNCT_4:th.21">FUNCT_4:21</a></i>
;<br/> <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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