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<span class="kw">let </span><font color="Maroon" title="c1">N</font> be  non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <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:()"><span class="comment"><font color="Red">::  thesis: </font></span></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#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#V13" title="AMI_1:attr.13">standard-ins</a>   <a href="amistd_1.html#V4" title="AMISTD_1:attr.4">standard</a>   <a href="amistd_2.html#V5" title="AMISTD_2:attr.5">without_implicit_jumps</a>   <a href="ami_1.html#L1" title="AMI_1:struct.1">AMI-Struct</a> of <font color="Maroon" title="c1">N</font><br/> for <font color="Olive" title="b2">I</font> being  <a href="ami_1.html#NM2" title="AMI_1:NM.2">Instruction</a> of <font color="Olive" title="b1">S</font>  st <font color="Olive" title="b2">I</font> is  <a href="amistd_1.html#V5" title="AMISTD_1:attr.5">sequential</a>  holds <br/><font color="Olive" title="b2">I</font> is  <a href="amistd_2.html#V7" title="AMISTD_2:attr.7">ins-loc-free</a> </span><br/><span class="kw">let </span><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#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#V13" title="AMI_1:attr.13">standard-ins</a>   <a href="amistd_1.html#V4" title="AMISTD_1:attr.4">standard</a>   <a href="amistd_2.html#V5" title="AMISTD_2:attr.5">without_implicit_jumps</a>   <a href="ami_1.html#L1" title="AMI_1:struct.1">AMI-Struct</a> of <font color="Maroon" title="c1">N</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">I</font> being  <a href="ami_1.html#NM2" title="AMI_1:NM.2">Instruction</a> of <font color="Maroon" title="c2">S</font>  st <font color="Olive" title="b1">I</font> is  <a href="amistd_1.html#V5" title="AMISTD_1:attr.5">sequential</a>  holds <br/><font color="Olive" title="b1">I</font> is  <a href="amistd_2.html#V7" title="AMISTD_2:attr.7">ins-loc-free</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c3">I</font> be   <a href="ami_1.html#NM2" title="AMI_1:NM.2">Instruction</a> of <font color="Maroon" title="c2">S</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c3">I</font> is  <a href="amistd_1.html#V5" title="AMISTD_1:attr.5">sequential</a>  implies <font color="Maroon" title="c3">I</font> is  <a href="amistd_2.html#V7" title="AMISTD_2:attr.7">ins-loc-free</a>  )</span><br/>





<span class="kw">assume </span><a NAME="E1:57"/><span class="lab"><font color="Green" title="E22">A1</font></span>: 
<font color="Maroon" title="c3">I</font> is  <a href="amistd_1.html#V5" title="AMISTD_1:attr.5">sequential</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c3">I</font> is  <a href="amistd_2.html#V7" title="AMISTD_2:attr.7">ins-loc-free</a> </span><br/>

<span class="kw">assume </span><a NAME="E2:57"/>
not <font color="Maroon" title="c3">I</font> is  <a href="amistd_2.html#V7" title="AMISTD_2:attr.7">ins-loc-free</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> contradiction</span><br/>

<span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c4">k</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> <span class="kw"> such that </span><br/><a NAME="E4:57"/><span class="lab"><font color="Green" title="E23">A2</font></span>: 
<font color="Maroon" title="c4">k</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K3" title="AMISTD_2:func.3">AddressPart</a> <font color="Maroon" title="c3">I</font></span>)</span>
 <span class="kw">and </span><br/><a NAME="E5:57"/><span class="lab"><font color="Green" title="E24">A3</font></span>: 
<span class="p1">(<span class="default"><a href="card_3.html#K10" title="CARD_3:func.10">product"</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K4" title="AMISTD_2:func.4">AddressParts</a> <span class="p3">(<span class="default"><a href="ami_1.html#K21" title="AMI_1:func.21">InsCode</a> <font color="Maroon" title="c3">I</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="amistd_2.html#D12" target="_self" title="AMISTD_2:def.12">Def12</a></span>;<br/>
<a NAME="E6:57"/>
<span class="p1">(<span class="default"><a href="amistd_2.html#K3" title="AMISTD_2:func.3">AddressPart</a> <font color="Maroon" title="c3">I</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">k</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="amistd_1.html#K2" title="AMISTD_1:func.2">JUMP</a> <font color="Maroon" title="c3">I</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:57"><span class="lab"><font color="Green" title="E23">A2</font></span></a>, <a class="txt" href="#E5:57"><span class="lab"><font color="Green" title="E24">A3</font></span></a>, <a class="ref" href="amistd_2.html#D7" target="_self" title="AMISTD_2:def.7">Def7</a></span>;<br/>
<span class="kw">hence </span><a NAME="E7:57"/>
contradiction
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:57"><span class="lab"><font color="Green" title="E22">A1</font></span></a>, <a class="ref" href="amistd_1.html#T43" title="AMISTD_1:th.43">AMISTD_1:43</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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