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<span class="kw">let </span><font color="Maroon" title="c2">m</font>, <font color="Maroon" title="c3">n</font> be   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">P</font>, <font color="Olive" title="b2">P1</font> being   <a href="compos_1.html#NM2" title="COMPOS_1:NM.2">Instruction-Sequence</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a><br/>  for <font color="Olive" title="b3">s</font> being   <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a><br/>  for <font color="Olive" title="b4">s1</font> being   <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <a href="memstr_0.html#V5" title="MEMSTR_0:attr.5">-started</a>  <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a><br/>  for <font color="Olive" title="b5">J</font> being   <a href="scmpds_4.html#V2" title="SCMPDS_4:attr.2">parahalting</a>   <a href="scmpds_4.html#V3" title="SCMPDS_4:attr.3">shiftable</a>  <a href="compos_1.html#NM4" title="COMPOS_1:NM.4">Program</a> of   st  <a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Olive" title="b5">J</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b1">P</font> &amp; <font color="Olive" title="b3">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p1">(<span class="default"><font color="Olive" title="b2">P1</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Olive" title="b5">J</font></span>)</span></span>)</span>,<font color="Olive" title="b4">s1</font>,<font color="Maroon" title="c2">m</font>) holds <br/> <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Olive" title="b1">P</font>,<font color="Olive" title="b3">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Olive" title="b3">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Olive" title="b1">P</font>,<font color="Olive" title="b3">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span><br/><span class="kw">let </span><font color="Maroon" title="c4">P</font>, <font color="Maroon" title="c5">P1</font> be   <a href="compos_1.html#NM2" title="COMPOS_1:NM.2">Instruction-Sequence</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">s</font> being   <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a><br/>  for <font color="Olive" title="b2">s1</font> being   <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <a href="memstr_0.html#V5" title="MEMSTR_0:attr.5">-started</a>  <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a><br/>  for <font color="Olive" title="b3">J</font> being   <a href="scmpds_4.html#V2" title="SCMPDS_4:attr.2">parahalting</a>   <a href="scmpds_4.html#V3" title="SCMPDS_4:attr.3">shiftable</a>  <a href="compos_1.html#NM4" title="COMPOS_1:NM.4">Program</a> of   st  <a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Olive" title="b3">J</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">P</font> &amp; <font color="Olive" title="b1">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c5">P1</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Olive" title="b3">J</font></span>)</span></span>)</span>,<font color="Olive" title="b2">s1</font>,<font color="Maroon" title="c2">m</font>) holds <br/> <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Olive" title="b1">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Olive" title="b1">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Olive" title="b1">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span><br/><span class="kw">let </span><font color="Maroon" title="c6">s</font> be   <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">s1</font> being   <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <a href="memstr_0.html#V5" title="MEMSTR_0:attr.5">-started</a>  <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a><br/>  for <font color="Olive" title="b2">J</font> being   <a href="scmpds_4.html#V2" title="SCMPDS_4:attr.2">parahalting</a>   <a href="scmpds_4.html#V3" title="SCMPDS_4:attr.3">shiftable</a>  <a href="compos_1.html#NM4" title="COMPOS_1:NM.4">Program</a> of   st  <a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Olive" title="b2">J</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">P</font> &amp; <font color="Maroon" title="c6">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c5">P1</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Olive" title="b2">J</font></span>)</span></span>)</span>,<font color="Olive" title="b1">s1</font>,<font color="Maroon" title="c2">m</font>) holds <br/> <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span><br/><span class="kw">let </span><font color="Maroon" title="c7">s1</font> be   <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <a href="memstr_0.html#V5" title="MEMSTR_0:attr.5">-started</a>  <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">J</font> being   <a href="scmpds_4.html#V2" title="SCMPDS_4:attr.2">parahalting</a>   <a href="scmpds_4.html#V3" title="SCMPDS_4:attr.3">shiftable</a>  <a href="compos_1.html#NM4" title="COMPOS_1:NM.4">Program</a> of   st  <a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Olive" title="b1">J</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">P</font> &amp; <font color="Maroon" title="c6">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c5">P1</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Olive" title="b1">J</font></span>)</span></span>)</span>,<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c2">m</font>) holds <br/> <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span><br/><span class="kw">let </span><font color="Maroon" title="c8">J</font> be   <a href="scmpds_4.html#V2" title="SCMPDS_4:attr.2">parahalting</a>   <a href="scmpds_4.html#V3" title="SCMPDS_4:attr.3">shiftable</a>  <a href="compos_1.html#NM4" title="COMPOS_1:NM.4">Program</a> of ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  <a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Maroon" title="c8">J</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">P</font> &amp; <font color="Maroon" title="c6">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c5">P1</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Maroon" title="c8">J</font></span>)</span></span>)</span>,<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c2">m</font>) implies  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>) )</span><br/>













<span class="kw">set </span><font color="Maroon" title="c9">pJ</font> =  <a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Maroon" title="c8">J</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c10">s2</font> = <font color="Maroon" title="c7">s1</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c11">P2</font> = <font color="Maroon" title="c5">P1</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Maroon" title="c8">J</font></span>)</span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c12">i</font> =  <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c13">ss</font> = <font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c14">k</font> =  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font> as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  ;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c15">Nl</font> = <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  ;<br/>
<span class="lab"><font color="Green" title="E23">A1</font></span>: <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 = 
<span class="p1">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T113" onmouseover="rs('funct_4/T113')" onmouseout="rh()">FUNCT_4:113</a></span>
<br/>.= 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c15">Nl</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T113" onmouseover="rs('funct_4/T113')" onmouseout="rh()">FUNCT_4:113</a></span>
;<br/>
<span class="kw">assume </span><a NAME="E4:55"/><span class="lab"><font color="Green" title="E24">A2</font></span>: 
 <a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Maroon" title="c8">J</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">P</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  not <font color="Maroon" title="c6">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c5">P1</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Maroon" title="c8">J</font></span>)</span></span>)</span>,<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c2">m</font>) or  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>) )</span><br/>

<span class="kw">assume </span><a NAME="E5:55"/><span class="lab"><font color="Green" title="E25">A3</font></span>: 
<font color="Maroon" title="c6">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="extpro_1.html#K5" title="EXTPRO_1:func.5">Comput</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c5">P1</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Maroon" title="c8">J</font></span>)</span></span>)</span>,<font color="Maroon" title="c7">s1</font>,<font color="Maroon" title="c2">m</font>)
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span><br/>

<a NAME="E6:55"/>
 <a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Maroon" title="c8">J</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c5">P1</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Maroon" title="c8">J</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T25" onmouseover="rs('funct_4/T25')" onmouseout="rh()">FUNCT_4:25</a></span>;<br/>
<a NAME="E7:55"/><span class="kw">then </span><span class="lab"><font color="Green" title="E26">A4</font></span>: 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Maroon" title="c8">J</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:55"><span class="lab"><font color="Green" title="E25">A3</font></span></a>, <a class="ref" href="scmpds_4.html#D6" onmouseover="rs('scmpds_4/D6')" onmouseout="rh()">SCMPDS_4:def 6</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c16">n1</font> =  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font> as   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> ;<br/>
<span class="kw">set </span><font color="Maroon" title="c17">IEn</font> = <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font>;<br/>
<a NAME="E9:55"/><span class="lab"><font color="Green" title="E27">A5</font></span>: 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T113" onmouseover="rs('funct_4/T113')" onmouseout="rh()">FUNCT_4:113</a></span>;<br/>
<a NAME="E10:55"/><span class="lab"><font color="Green" title="E28">A6</font></span>: 
<font color="Maroon" title="c4">P</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">P</font> <a href="compos_1.html#K3" title="COMPOS_1:func.3">.</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="pboole.html#T143" onmouseover="rs('pboole/T143')" onmouseout="rh()">PBOOLE:143</a></span>;<br/>
<a NAME="E11:55"/><span class="lab"><font color="Green" title="E29">A7</font></span>: 
 <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="compos_1.html#K10" title="COMPOS_1:func.10">stop</a> <font color="Maroon" title="c8">J</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c16">n1</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:55"><span class="lab"><font color="Green" title="E26">A4</font></span></a>, <a class="txt" href="#E10:55"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E4:55"><span class="lab"><font color="Green" title="E24">A2</font></span></a>, <a class="ref" href="grfunc_1.html#T2" onmouseover="rs('grfunc_1/T2')" onmouseout="rh()">GRFUNC_1:2</a></span>;<br/>
<a NAME="E12:55"/><span class="kw">then </span><span class="lab"><font color="Green" title="E30">A8</font></span>: 
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 1
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:55"><span class="lab"><font color="Green" title="E26">A4</font></span></a>, <a class="ref" href="scmpds_4.html#D9" onmouseover="rs('scmpds_4/D9')" onmouseout="rh()">SCMPDS_4:def 9</a></span>;<br/>
<a NAME="E13:55"/><span class="lab"><font color="Green" title="E31">A9</font></span>: 
 <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>) <a href="scmpds_4.html#R1" title="SCMPDS_4:pred.1">valid_at</a> <font color="Maroon" title="c16">n1</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:55"><span class="lab"><font color="Green" title="E26">A4</font></span></a>, <a class="txt" href="#E11:55"><span class="lab"><font color="Green" title="E29">A7</font></span></a>, <a class="ref" href="scmpds_4.html#D9" onmouseover="rs('scmpds_4/D9')" onmouseout="rh()">SCMPDS_4:def 9</a></span>;<br/>
<a NAME="E14:55"/><span class="lab"><font color="Green" title="E32">A10</font></span>: 
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 3
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:55"><span class="lab"><font color="Green" title="E26">A4</font></span></a>, <a class="txt" href="#E11:55"><span class="lab"><font color="Green" title="E29">A7</font></span></a>, <a class="ref" href="scmpds_4.html#D9" onmouseover="rs('scmpds_4/D9')" onmouseout="rh()">SCMPDS_4:def 9</a></span>;<br/>
<a NAME="E15:55"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 14
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_2.html#T6" onmouseover="rs('scmpds_2/T6')" onmouseout="rh()">SCMPDS_2:6</a></span>;<br/>
<a NAME="E16:55"/><span class="kw">then </span>
 not  not  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp;  ...  &amp;  not  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 14
 
;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:55_2"/><span class="kw">then </span>
(  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 14 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 5 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 7 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 8 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 9 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 10 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 11 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 12 or  <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 13 )
 </span><span class="kw">by</span> <span class="lab"><a class="txt" href="#E12:55"><span class="lab"><font color="Green" title="E30">A8</font></span></a>, <a class="txt" href="#E14:55"><span class="lab"><font color="Green" title="E32">A10</font></span></a></span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_1"><span class="kw">suppose </span></a><a NAME="E1:55_2_1"/><span class="lab"><font color="Green" title="E33">A11</font></span>: 
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span><br/><div class="add"><a NAME="E2:55_2_1"/><span class="lab"><font color="Green" title="E34">A12</font></span>: 
 <a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">s</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:55_2_1"><span class="lab"><font color="Green" title="E33">A11</font></span></a>, <a class="ref" href="scmpds_2.html#T86" onmouseover="rs('scmpds_2/T86')" onmouseout="rh()">SCMPDS_2:86</a></span>;<br/><span class="kw">thus </span> <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) = 
 <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:55_2_1"><span class="lab"><font color="Green" title="E33">A11</font></span></a>, <a class="ref" href="scmpds_2.html#T86" onmouseover="rs('scmpds_2/T86')" onmouseout="rh()">SCMPDS_2:86</a></span>
<br/>.= 
 <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:55_2_1"><span class="lab"><font color="Green" title="E34">A12</font></span></a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_2"><span class="kw">suppose </span></a><a NAME="E1:55_2_2"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 14
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c18">k1</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a><span class="kw"> such that </span><br/><a NAME="E3:55_2_2"/><span class="lab"><font color="Green" title="E33">A13</font></span>: 
 <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">goto</a> <font color="Maroon" title="c18">k1</font>
 <span class="kw">and </span><br/><a NAME="E4:55_2_2"/><span class="lab"><font color="Green" title="E34">A14</font></span>: 
<font color="Maroon" title="c16">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c18">k1</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E13:55"><span class="lab"><font color="Green" title="E31">A9</font></span></a></span>;<br/><a NAME="E5:55_2_2"/><span class="lab"><font color="Green" title="E35">A15</font></span>: 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">ICplusConst</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c18">k1</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_2"><span class="lab"><font color="Green" title="E33">A13</font></span></a>, <a class="ref" href="scmpds_2.html#T54" onmouseover="rs('scmpds_2/T54')" onmouseout="rh()">SCMPDS_2:54</a></span>;<br/><div><span class="lab"><font color="Green" title="E36">A16</font></span>: <a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="55_2_2_1"><span class="kw">now </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">b</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> holds  <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">b</font></span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c19">b</font> be   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span><br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_2"><span class="lab"><font color="Green" title="E33">A13</font></span></a>, <a class="ref" href="scmpds_2.html#T54" onmouseover="rs('scmpds_2/T54')" onmouseout="rh()">SCMPDS_2:54</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_2"><span class="lab"><font color="Green" title="E33">A13</font></span></a>, <a class="ref" href="scmpds_2.html#T54" onmouseover="rs('scmpds_2/T54')" onmouseout="rh()">SCMPDS_2:54</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div> <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> = 
 <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">ICplusConst</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>,<font color="Maroon" title="c18">k1</font>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_2"><span class="lab"><font color="Green" title="E33">A13</font></span></a>, <a class="ref" href="scmpds_2.html#T54" onmouseover="rs('scmpds_2/T54')" onmouseout="rh()">SCMPDS_2:54</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E9:55"><span class="lab"><font color="Green" title="E27">A5</font></span></a>, <a class="txt" href="#E4:55_2_2"><span class="lab"><font color="Green" title="E34">A14</font></span></a>, <a class="txt" href="#E5:55_2_2"><span class="lab"><font color="Green" title="E35">A15</font></span></a>, <a class="ref" href="scmpds_4.html#T27" onmouseover="rs('scmpds_4/T27')" onmouseout="rh()">SCMPDS_4:27</a></span>
<br/>.= 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T113" onmouseover="rs('funct_4/T113')" onmouseout="rh()">FUNCT_4:113</a></span>
;<br/><span class="kw">hence </span><a NAME="E8:55_2_2"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:55_2_2"><span class="lab"><font color="Green" title="E36">A16</font></span></a>, <a class="ref" href="scmpds_2.html#T44" onmouseover="rs('scmpds_2/T44')" onmouseout="rh()">SCMPDS_2:44</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_3"><span class="kw">suppose </span></a><a NAME="E1:55_2_3"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c18">a</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>, <font color="Maroon" title="c19">k1</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a><span class="kw"> such that </span><br/><a NAME="E3:55_2_3"/><span class="lab"><font color="Green" title="E33">A17</font></span>: 
 <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">a</font> <a href="scmpds_2.html#K5" title="SCMPDS_2:func.5">:=</a> <font color="Maroon" title="c19">k1</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_2.html#T28" onmouseover="rs('scmpds_2/T28')" onmouseout="rh()">SCMPDS_2:28</a></span>;<br/><div><span class="lab"><font color="Green" title="E34">A18</font></span>: <a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="55_2_3_1"><span class="kw">now </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">b</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> holds  <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">b</font></span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c20">b</font> be   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_3_1_1"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:55_2_3_1_1"/>
( <font color="Maroon" title="c18">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c20">b</font> or <font color="Maroon" title="c18">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c20">b</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_3_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:55_2_3_1_1_1"/><span class="lab"><font color="Green" title="E35">A19</font></span>: 
<font color="Maroon" title="c18">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c20">b</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><span class="kw">hence </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c20">b</font> = 
<font color="Maroon" title="c19">k1</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_3"><span class="lab"><font color="Green" title="E33">A17</font></span></a>, <a class="ref" href="scmpds_2.html#T45" onmouseover="rs('scmpds_2/T45')" onmouseout="rh()">SCMPDS_2:45</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c20">b</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_3"><span class="lab"><font color="Green" title="E33">A17</font></span></a>, <a class="txt" href="#E1:55_2_3_1_1_1"><span class="lab"><font color="Green" title="E35">A19</font></span></a>, <a class="ref" href="scmpds_2.html#T45" onmouseover="rs('scmpds_2/T45')" onmouseout="rh()">SCMPDS_2:45</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c20">b</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
;<br/> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_3_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:55_2_3_1_1_2"/><span class="lab"><font color="Green" title="E35">A20</font></span>: 
<font color="Maroon" title="c18">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c20">b</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><span class="kw">hence </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c20">b</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c20">b</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_3"><span class="lab"><font color="Green" title="E33">A17</font></span></a>, <a class="ref" href="scmpds_2.html#T45" onmouseover="rs('scmpds_2/T45')" onmouseout="rh()">SCMPDS_2:45</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c20">b</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c20">b</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_3"><span class="lab"><font color="Green" title="E33">A17</font></span></a>, <a class="txt" href="#E1:55_2_3_1_1_2"><span class="lab"><font color="Green" title="E35">A20</font></span></a>, <a class="ref" href="scmpds_2.html#T45" onmouseover="rs('scmpds_2/T45')" onmouseout="rh()">SCMPDS_2:45</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c20">b</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
;<br/> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div><a NAME="E5:55_2_3"/>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c15">Nl</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_3"><span class="lab"><font color="Green" title="E33">A17</font></span></a>, <a class="ref" href="scmpds_2.html#T45" onmouseover="rs('scmpds_2/T45')" onmouseout="rh()">SCMPDS_2:45</a></span>;<br/><a NAME="E6:55_2_3"/><span class="kw">then </span>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55"><span class="lab"><font color="Green" title="E23">A1</font></span></a>, <a class="txt" href="#E3:55_2_3"><span class="lab"><font color="Green" title="E33">A17</font></span></a>, <a class="ref" href="scmpds_2.html#T45" onmouseover="rs('scmpds_2/T45')" onmouseout="rh()">SCMPDS_2:45</a></span>;<br/><span class="kw">hence </span><a NAME="E7:55_2_3"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:55_2_3"><span class="lab"><font color="Green" title="E34">A18</font></span></a>, <a class="ref" href="scmpds_2.html#T44" onmouseover="rs('scmpds_2/T44')" onmouseout="rh()">SCMPDS_2:44</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_4"><span class="kw">suppose </span></a><a NAME="E1:55_2_4"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c18">a</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>, <font color="Maroon" title="c19">k1</font>, <font color="Maroon" title="c20">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a><span class="kw"> such that </span><br/><a NAME="E3:55_2_4"/><span class="lab"><font color="Green" title="E33">A21</font></span>: 
 <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> (<font color="Maroon" title="c18">a</font>,<font color="Maroon" title="c19">k1</font>) <a href="scmpds_2.html#K7" title="SCMPDS_2:func.7">&lt;&gt;0_goto</a> <font color="Maroon" title="c20">k2</font>
 <span class="kw">and </span><br/><a NAME="E4:55_2_4"/><span class="lab"><font color="Green" title="E34">A22</font></span>: 
<font color="Maroon" title="c16">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c20">k2</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E13:55"><span class="lab"><font color="Green" title="E31">A9</font></span></a></span>;<br/><div><span class="lab"><font color="Green" title="E35">A23</font></span>: <a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="55_2_4_1"><span class="kw">now </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span></span></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_4_1_1"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:55_2_4_1_1"/>
( <font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  or <font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_4_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:55_2_4_1_1_1"/><span class="lab"><font color="Green" title="E36">A24</font></span>: 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span></span><br/><div class="add"><a NAME="E2:55_2_4_1_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E37">A25</font></span>: 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">ICplusConst</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c20">k2</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_4"><span class="lab"><font color="Green" title="E33">A21</font></span></a>, <a class="ref" href="scmpds_2.html#T55" onmouseover="rs('scmpds_2/T55')" onmouseout="rh()">SCMPDS_2:55</a></span>;<br/><a NAME="E3:55_2_4_1_1_1"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:55_2_4_1_1_1"><span class="lab"><font color="Green" title="E36">A24</font></span></a>, <a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><a NAME="E4:55_2_4_1_1_1"/><span class="kw">then </span>
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><span class="kw">hence </span> <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> = 
 <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">ICplusConst</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>,<font color="Maroon" title="c20">k2</font>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_4"><span class="lab"><font color="Green" title="E33">A21</font></span></a>, <a class="ref" href="scmpds_2.html#T55" onmouseover="rs('scmpds_2/T55')" onmouseout="rh()">SCMPDS_2:55</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E9:55"><span class="lab"><font color="Green" title="E27">A5</font></span></a>, <a class="txt" href="#E4:55_2_4"><span class="lab"><font color="Green" title="E34">A22</font></span></a>, <a class="txt" href="#E2:55_2_4_1_1_1"><span class="lab"><font color="Green" title="E37">A25</font></span></a>, <a class="ref" href="scmpds_4.html#T27" onmouseover="rs('scmpds_4/T27')" onmouseout="rh()">SCMPDS_4:27</a></span>
<br/>.= 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T113" onmouseover="rs('funct_4/T113')" onmouseout="rh()">FUNCT_4:113</a></span>
;<br/> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_4_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:55_2_4_1_1_2"/><span class="lab"><font color="Green" title="E36">A26</font></span>: 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span></span><br/><div class="add"><a NAME="E2:55_2_4_1_1_2"/><span class="kw">then </span>
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><a NAME="E3:55_2_4_1_1_2"/><span class="kw">then </span><span class="lab"><font color="Green" title="E37">A27</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><a NAME="E4:55_2_4_1_1_2"/>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c15">Nl</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_4"><span class="lab"><font color="Green" title="E33">A21</font></span></a>, <a class="txt" href="#E1:55_2_4_1_1_2"><span class="lab"><font color="Green" title="E36">A26</font></span></a>, <a class="ref" href="scmpds_2.html#T55" onmouseover="rs('scmpds_2/T55')" onmouseout="rh()">SCMPDS_2:55</a></span>;<br/><span class="kw">hence </span><a NAME="E5:55_2_4_1_1_2"/>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55"><span class="lab"><font color="Green" title="E23">A1</font></span></a>, <a class="txt" href="#E3:55_2_4"><span class="lab"><font color="Green" title="E33">A21</font></span></a>, <a class="txt" href="#E3:55_2_4_1_1_2"><span class="lab"><font color="Green" title="E37">A27</font></span></a>, <a class="ref" href="scmpds_2.html#T55" onmouseover="rs('scmpds_2/T55')" onmouseout="rh()">SCMPDS_2:55</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div><div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="55_2_4_2"><span class="kw">now </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">b</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> holds  <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">b</font></span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c21">b</font> be   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font></span><br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_4"><span class="lab"><font color="Green" title="E33">A21</font></span></a>, <a class="ref" href="scmpds_2.html#T55" onmouseover="rs('scmpds_2/T55')" onmouseout="rh()">SCMPDS_2:55</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_4"><span class="lab"><font color="Green" title="E33">A21</font></span></a>, <a class="ref" href="scmpds_2.html#T55" onmouseover="rs('scmpds_2/T55')" onmouseout="rh()">SCMPDS_2:55</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><span class="kw">hence </span><a NAME="E7:55_2_4"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:55_2_4"><span class="lab"><font color="Green" title="E35">A23</font></span></a>, <a class="ref" href="scmpds_2.html#T44" onmouseover="rs('scmpds_2/T44')" onmouseout="rh()">SCMPDS_2:44</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_5"><span class="kw">suppose </span></a><a NAME="E1:55_2_5"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 5
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c18">a</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>, <font color="Maroon" title="c19">k1</font>, <font color="Maroon" title="c20">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a><span class="kw"> such that </span><br/><a NAME="E3:55_2_5"/><span class="lab"><font color="Green" title="E33">A28</font></span>: 
 <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> (<font color="Maroon" title="c18">a</font>,<font color="Maroon" title="c19">k1</font>) <a href="scmpds_2.html#K8" title="SCMPDS_2:func.8">&lt;=0_goto</a> <font color="Maroon" title="c20">k2</font>
 <span class="kw">and </span><br/><a NAME="E4:55_2_5"/><span class="lab"><font color="Green" title="E34">A29</font></span>: 
<font color="Maroon" title="c16">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c20">k2</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E13:55"><span class="lab"><font color="Green" title="E31">A9</font></span></a></span>;<br/><div><span class="lab"><font color="Green" title="E35">A30</font></span>: <a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="55_2_5_1"><span class="kw">now </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span></span></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_5_1_1"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:55_2_5_1_1"/>
( <font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  or <font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_5_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:55_2_5_1_1_1"/><span class="lab"><font color="Green" title="E36">A31</font></span>: 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span></span><br/><div class="add"><a NAME="E2:55_2_5_1_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E37">A32</font></span>: 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">ICplusConst</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c20">k2</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_5"><span class="lab"><font color="Green" title="E33">A28</font></span></a>, <a class="ref" href="scmpds_2.html#T56" onmouseover="rs('scmpds_2/T56')" onmouseout="rh()">SCMPDS_2:56</a></span>;<br/><a NAME="E3:55_2_5_1_1_1"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:55_2_5_1_1_1"><span class="lab"><font color="Green" title="E36">A31</font></span></a>, <a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><a NAME="E4:55_2_5_1_1_1"/><span class="kw">then </span>
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><span class="kw">hence </span> <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> = 
 <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">ICplusConst</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>,<font color="Maroon" title="c20">k2</font>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_5"><span class="lab"><font color="Green" title="E33">A28</font></span></a>, <a class="ref" href="scmpds_2.html#T56" onmouseover="rs('scmpds_2/T56')" onmouseout="rh()">SCMPDS_2:56</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E9:55"><span class="lab"><font color="Green" title="E27">A5</font></span></a>, <a class="txt" href="#E4:55_2_5"><span class="lab"><font color="Green" title="E34">A29</font></span></a>, <a class="txt" href="#E2:55_2_5_1_1_1"><span class="lab"><font color="Green" title="E37">A32</font></span></a>, <a class="ref" href="scmpds_4.html#T27" onmouseover="rs('scmpds_4/T27')" onmouseout="rh()">SCMPDS_4:27</a></span>
<br/>.= 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T113" onmouseover="rs('funct_4/T113')" onmouseout="rh()">FUNCT_4:113</a></span>
;<br/> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_5_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:55_2_5_1_1_2"/><span class="lab"><font color="Green" title="E36">A33</font></span>: 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span></span><br/><div class="add"><a NAME="E2:55_2_5_1_1_2"/><span class="kw">then </span>
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><a NAME="E3:55_2_5_1_1_2"/><span class="kw">then </span><span class="lab"><font color="Green" title="E37">A34</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><a NAME="E4:55_2_5_1_1_2"/>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c15">Nl</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_5"><span class="lab"><font color="Green" title="E33">A28</font></span></a>, <a class="txt" href="#E1:55_2_5_1_1_2"><span class="lab"><font color="Green" title="E36">A33</font></span></a>, <a class="ref" href="scmpds_2.html#T56" onmouseover="rs('scmpds_2/T56')" onmouseout="rh()">SCMPDS_2:56</a></span>;<br/><span class="kw">hence </span><a NAME="E5:55_2_5_1_1_2"/>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55"><span class="lab"><font color="Green" title="E23">A1</font></span></a>, <a class="txt" href="#E3:55_2_5"><span class="lab"><font color="Green" title="E33">A28</font></span></a>, <a class="txt" href="#E3:55_2_5_1_1_2"><span class="lab"><font color="Green" title="E37">A34</font></span></a>, <a class="ref" href="scmpds_2.html#T56" onmouseover="rs('scmpds_2/T56')" onmouseout="rh()">SCMPDS_2:56</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div><div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="55_2_5_2"><span class="kw">now </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">b</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> holds  <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">b</font></span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c21">b</font> be   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font></span><br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_5"><span class="lab"><font color="Green" title="E33">A28</font></span></a>, <a class="ref" href="scmpds_2.html#T56" onmouseover="rs('scmpds_2/T56')" onmouseout="rh()">SCMPDS_2:56</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_5"><span class="lab"><font color="Green" title="E33">A28</font></span></a>, <a class="ref" href="scmpds_2.html#T56" onmouseover="rs('scmpds_2/T56')" onmouseout="rh()">SCMPDS_2:56</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><span class="kw">hence </span><a NAME="E7:55_2_5"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:55_2_5"><span class="lab"><font color="Green" title="E35">A30</font></span></a>, <a class="ref" href="scmpds_2.html#T44" onmouseover="rs('scmpds_2/T44')" onmouseout="rh()">SCMPDS_2:44</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_6"><span class="kw">suppose </span></a><a NAME="E1:55_2_6"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c18">a</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>, <font color="Maroon" title="c19">k1</font>, <font color="Maroon" title="c20">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a><span class="kw"> such that </span><br/><a NAME="E3:55_2_6"/><span class="lab"><font color="Green" title="E33">A35</font></span>: 
 <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> (<font color="Maroon" title="c18">a</font>,<font color="Maroon" title="c19">k1</font>) <a href="scmpds_2.html#K9" title="SCMPDS_2:func.9">&gt;=0_goto</a> <font color="Maroon" title="c20">k2</font>
 <span class="kw">and </span><br/><a NAME="E4:55_2_6"/><span class="lab"><font color="Green" title="E34">A36</font></span>: 
<font color="Maroon" title="c16">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c20">k2</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E13:55"><span class="lab"><font color="Green" title="E31">A9</font></span></a></span>;<br/><div><span class="lab"><font color="Green" title="E35">A37</font></span>: <a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="55_2_6_1"><span class="kw">now </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span></span></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_6_1_1"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:55_2_6_1_1"/>
( <font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  or <font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_6_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:55_2_6_1_1_1"/><span class="lab"><font color="Green" title="E36">A38</font></span>: 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span></span><br/><div class="add"><a NAME="E2:55_2_6_1_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E37">A39</font></span>: 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">ICplusConst</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c20">k2</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_6"><span class="lab"><font color="Green" title="E33">A35</font></span></a>, <a class="ref" href="scmpds_2.html#T57" onmouseover="rs('scmpds_2/T57')" onmouseout="rh()">SCMPDS_2:57</a></span>;<br/><a NAME="E3:55_2_6_1_1_1"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:55_2_6_1_1_1"><span class="lab"><font color="Green" title="E36">A38</font></span></a>, <a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><a NAME="E4:55_2_6_1_1_1"/><span class="kw">then </span>
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><span class="kw">hence </span> <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> = 
 <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">ICplusConst</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>,<font color="Maroon" title="c20">k2</font>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_6"><span class="lab"><font color="Green" title="E33">A35</font></span></a>, <a class="ref" href="scmpds_2.html#T57" onmouseover="rs('scmpds_2/T57')" onmouseout="rh()">SCMPDS_2:57</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E9:55"><span class="lab"><font color="Green" title="E27">A5</font></span></a>, <a class="txt" href="#E4:55_2_6"><span class="lab"><font color="Green" title="E34">A36</font></span></a>, <a class="txt" href="#E2:55_2_6_1_1_1"><span class="lab"><font color="Green" title="E37">A39</font></span></a>, <a class="ref" href="scmpds_4.html#T27" onmouseover="rs('scmpds_4/T27')" onmouseout="rh()">SCMPDS_4:27</a></span>
<br/>.= 
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T113" onmouseover="rs('funct_4/T113')" onmouseout="rh()">FUNCT_4:113</a></span>
;<br/> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_6_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:55_2_6_1_1_2"/><span class="lab"><font color="Green" title="E36">A40</font></span>: 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span></span><br/><div class="add"><a NAME="E2:55_2_6_1_1_2"/><span class="kw">then </span>
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><a NAME="E3:55_2_6_1_1_2"/><span class="kw">then </span><span class="lab"><font color="Green" title="E37">A41</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><a NAME="E4:55_2_6_1_1_2"/>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c15">Nl</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_6"><span class="lab"><font color="Green" title="E33">A35</font></span></a>, <a class="txt" href="#E1:55_2_6_1_1_2"><span class="lab"><font color="Green" title="E36">A40</font></span></a>, <a class="ref" href="scmpds_2.html#T57" onmouseover="rs('scmpds_2/T57')" onmouseout="rh()">SCMPDS_2:57</a></span>;<br/><span class="kw">hence </span><a NAME="E5:55_2_6_1_1_2"/>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55"><span class="lab"><font color="Green" title="E23">A1</font></span></a>, <a class="txt" href="#E3:55_2_6"><span class="lab"><font color="Green" title="E33">A35</font></span></a>, <a class="txt" href="#E3:55_2_6_1_1_2"><span class="lab"><font color="Green" title="E37">A41</font></span></a>, <a class="ref" href="scmpds_2.html#T57" onmouseover="rs('scmpds_2/T57')" onmouseout="rh()">SCMPDS_2:57</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div><div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="55_2_6_2"><span class="kw">now </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">b</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> holds  <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">b</font></span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c21">b</font> be   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font></span><br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_6"><span class="lab"><font color="Green" title="E33">A35</font></span></a>, <a class="ref" href="scmpds_2.html#T57" onmouseover="rs('scmpds_2/T57')" onmouseout="rh()">SCMPDS_2:57</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_6"><span class="lab"><font color="Green" title="E33">A35</font></span></a>, <a class="ref" href="scmpds_2.html#T57" onmouseover="rs('scmpds_2/T57')" onmouseout="rh()">SCMPDS_2:57</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><span class="kw">hence </span><a NAME="E7:55_2_6"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:55_2_6"><span class="lab"><font color="Green" title="E35">A37</font></span></a>, <a class="ref" href="scmpds_2.html#T44" onmouseover="rs('scmpds_2/T44')" onmouseout="rh()">SCMPDS_2:44</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_7"><span class="kw">suppose </span></a><a NAME="E1:55_2_7"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 7
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c18">a</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>, <font color="Maroon" title="c19">k1</font>, <font color="Maroon" title="c20">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a><span class="kw"> such that </span><br/><a NAME="E3:55_2_7"/><span class="lab"><font color="Green" title="E33">A42</font></span>: 
 <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> (<font color="Maroon" title="c18">a</font>,<font color="Maroon" title="c19">k1</font>) <a href="scmpds_2.html#K10" title="SCMPDS_2:func.10">:=</a> <font color="Maroon" title="c20">k2</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_2.html#T33" onmouseover="rs('scmpds_2/T33')" onmouseout="rh()">SCMPDS_2:33</a></span>;<br/><div><span class="lab"><font color="Green" title="E34">A43</font></span>: <a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="55_2_7_1"><span class="kw">now </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">b</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> holds  <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">b</font></span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c21">b</font> be   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_7_1_1"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:55_2_7_1_1"/>
(  <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c21">b</font> or  <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c21">b</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_7_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:55_2_7_1_1_1"/><span class="lab"><font color="Green" title="E35">A44</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c21">b</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><a NAME="E2:55_2_7_1_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E36">A45</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c21">b</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font> = 
<font color="Maroon" title="c20">k2</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_7"><span class="lab"><font color="Green" title="E33">A42</font></span></a>, <a class="txt" href="#E1:55_2_7_1_1_1"><span class="lab"><font color="Green" title="E35">A44</font></span></a>, <a class="ref" href="scmpds_2.html#T46" onmouseover="rs('scmpds_2/T46')" onmouseout="rh()">SCMPDS_2:46</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_7"><span class="lab"><font color="Green" title="E33">A42</font></span></a>, <a class="txt" href="#E2:55_2_7_1_1_1"><span class="lab"><font color="Green" title="E36">A45</font></span></a>, <a class="ref" href="scmpds_2.html#T46" onmouseover="rs('scmpds_2/T46')" onmouseout="rh()">SCMPDS_2:46</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_7_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:55_2_7_1_1_2"/><span class="lab"><font color="Green" title="E35">A46</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c21">b</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><a NAME="E2:55_2_7_1_1_2"/><span class="kw">then </span><span class="lab"><font color="Green" title="E36">A47</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c21">b</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_7"><span class="lab"><font color="Green" title="E33">A42</font></span></a>, <a class="txt" href="#E1:55_2_7_1_1_2"><span class="lab"><font color="Green" title="E35">A46</font></span></a>, <a class="ref" href="scmpds_2.html#T46" onmouseover="rs('scmpds_2/T46')" onmouseout="rh()">SCMPDS_2:46</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_7"><span class="lab"><font color="Green" title="E33">A42</font></span></a>, <a class="txt" href="#E2:55_2_7_1_1_2"><span class="lab"><font color="Green" title="E36">A47</font></span></a>, <a class="ref" href="scmpds_2.html#T46" onmouseover="rs('scmpds_2/T46')" onmouseout="rh()">SCMPDS_2:46</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div><a NAME="E5:55_2_7"/>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c15">Nl</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_7"><span class="lab"><font color="Green" title="E33">A42</font></span></a>, <a class="ref" href="scmpds_2.html#T46" onmouseover="rs('scmpds_2/T46')" onmouseout="rh()">SCMPDS_2:46</a></span>;<br/><a NAME="E6:55_2_7"/><span class="kw">then </span>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55"><span class="lab"><font color="Green" title="E23">A1</font></span></a>, <a class="txt" href="#E3:55_2_7"><span class="lab"><font color="Green" title="E33">A42</font></span></a>, <a class="ref" href="scmpds_2.html#T46" onmouseover="rs('scmpds_2/T46')" onmouseout="rh()">SCMPDS_2:46</a></span>;<br/><span class="kw">hence </span><a NAME="E7:55_2_7"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:55_2_7"><span class="lab"><font color="Green" title="E34">A43</font></span></a>, <a class="ref" href="scmpds_2.html#T44" onmouseover="rs('scmpds_2/T44')" onmouseout="rh()">SCMPDS_2:44</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_8"><span class="kw">suppose </span></a><a NAME="E1:55_2_8"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 8
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c18">a</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>, <font color="Maroon" title="c19">k1</font>, <font color="Maroon" title="c20">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a><span class="kw"> such that </span><br/><a NAME="E3:55_2_8"/><span class="lab"><font color="Green" title="E33">A48</font></span>: 
 <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">AddTo</a> (<font color="Maroon" title="c18">a</font>,<font color="Maroon" title="c19">k1</font>,<font color="Maroon" title="c20">k2</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_2.html#T34" onmouseover="rs('scmpds_2/T34')" onmouseout="rh()">SCMPDS_2:34</a></span>;<br/><div><span class="lab"><font color="Green" title="E34">A49</font></span>: <a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="55_2_8_1"><span class="kw">now </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">b</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> holds  <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">b</font></span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c21">b</font> be   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_8_1_1"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:55_2_8_1_1"/>
(  <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c21">b</font> or  <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c21">b</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_8_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:55_2_8_1_1_1"/><span class="lab"><font color="Green" title="E35">A50</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c21">b</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><a NAME="E2:55_2_8_1_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E36">A51</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c21">b</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c20">k2</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_8"><span class="lab"><font color="Green" title="E33">A48</font></span></a>, <a class="txt" href="#E1:55_2_8_1_1_1"><span class="lab"><font color="Green" title="E35">A50</font></span></a>, <a class="ref" href="scmpds_2.html#T48" onmouseover="rs('scmpds_2/T48')" onmouseout="rh()">SCMPDS_2:48</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c20">k2</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_8"><span class="lab"><font color="Green" title="E33">A48</font></span></a>, <a class="txt" href="#E2:55_2_8_1_1_1"><span class="lab"><font color="Green" title="E36">A51</font></span></a>, <a class="ref" href="scmpds_2.html#T48" onmouseover="rs('scmpds_2/T48')" onmouseout="rh()">SCMPDS_2:48</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_8_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:55_2_8_1_1_2"/><span class="lab"><font color="Green" title="E35">A52</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c21">b</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><a NAME="E2:55_2_8_1_1_2"/><span class="kw">then </span><span class="lab"><font color="Green" title="E36">A53</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c19">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c21">b</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_8"><span class="lab"><font color="Green" title="E33">A48</font></span></a>, <a class="txt" href="#E1:55_2_8_1_1_2"><span class="lab"><font color="Green" title="E35">A52</font></span></a>, <a class="ref" href="scmpds_2.html#T48" onmouseover="rs('scmpds_2/T48')" onmouseout="rh()">SCMPDS_2:48</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_8"><span class="lab"><font color="Green" title="E33">A48</font></span></a>, <a class="txt" href="#E2:55_2_8_1_1_2"><span class="lab"><font color="Green" title="E36">A53</font></span></a>, <a class="ref" href="scmpds_2.html#T48" onmouseover="rs('scmpds_2/T48')" onmouseout="rh()">SCMPDS_2:48</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c21">b</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div><a NAME="E5:55_2_8"/>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c15">Nl</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_8"><span class="lab"><font color="Green" title="E33">A48</font></span></a>, <a class="ref" href="scmpds_2.html#T48" onmouseover="rs('scmpds_2/T48')" onmouseout="rh()">SCMPDS_2:48</a></span>;<br/><a NAME="E6:55_2_8"/><span class="kw">then </span>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55"><span class="lab"><font color="Green" title="E23">A1</font></span></a>, <a class="txt" href="#E3:55_2_8"><span class="lab"><font color="Green" title="E33">A48</font></span></a>, <a class="ref" href="scmpds_2.html#T48" onmouseover="rs('scmpds_2/T48')" onmouseout="rh()">SCMPDS_2:48</a></span>;<br/><span class="kw">hence </span><a NAME="E7:55_2_8"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:55_2_8"><span class="lab"><font color="Green" title="E34">A49</font></span></a>, <a class="ref" href="scmpds_2.html#T44" onmouseover="rs('scmpds_2/T44')" onmouseout="rh()">SCMPDS_2:44</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_9"><span class="kw">suppose </span></a><a NAME="E1:55_2_9"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 9
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c18">a</font>, <font color="Maroon" title="c19">b</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>, <font color="Maroon" title="c20">k1</font>, <font color="Maroon" title="c21">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a><span class="kw"> such that </span><br/><a NAME="E3:55_2_9"/><span class="lab"><font color="Green" title="E33">A54</font></span>: 
 <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<font color="Maroon" title="c18">a</font>,<font color="Maroon" title="c20">k1</font>,<font color="Maroon" title="c19">b</font>,<font color="Maroon" title="c21">k2</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_2.html#T35" onmouseover="rs('scmpds_2/T35')" onmouseout="rh()">SCMPDS_2:35</a></span>;<br/><div><span class="lab"><font color="Green" title="E34">A55</font></span>: <a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="55_2_9_1"><span class="kw">now </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">c</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> holds  <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">c</font></span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c22">c</font> be   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_9_1_1"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:55_2_9_1_1"/>
(  <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c</font> or  <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c22">c</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_9_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:55_2_9_1_1_1"/><span class="lab"><font color="Green" title="E35">A56</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><a NAME="E2:55_2_9_1_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E36">A57</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><span class="lab"><font color="Green" title="E37">A58</font></span>: <span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span> = 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
;<br/><span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>)</span>)</span> = 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
;<br/><span class="kw">hence </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_9"><span class="lab"><font color="Green" title="E33">A54</font></span></a>, <a class="txt" href="#E1:55_2_9_1_1_1"><span class="lab"><font color="Green" title="E35">A56</font></span></a>, <a class="txt" href="#E3:55_2_9_1_1_1"><span class="lab"><font color="Green" title="E37">A58</font></span></a>, <a class="ref" href="scmpds_2.html#T49" onmouseover="rs('scmpds_2/T49')" onmouseout="rh()">SCMPDS_2:49</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_9"><span class="lab"><font color="Green" title="E33">A54</font></span></a>, <a class="txt" href="#E2:55_2_9_1_1_1"><span class="lab"><font color="Green" title="E36">A57</font></span></a>, <a class="ref" href="scmpds_2.html#T49" onmouseover="rs('scmpds_2/T49')" onmouseout="rh()">SCMPDS_2:49</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
;<br/> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_9_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:55_2_9_1_1_2"/><span class="lab"><font color="Green" title="E35">A59</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c22">c</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><a NAME="E2:55_2_9_1_1_2"/><span class="kw">then </span><span class="lab"><font color="Green" title="E36">A60</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c22">c</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_9"><span class="lab"><font color="Green" title="E33">A54</font></span></a>, <a class="txt" href="#E1:55_2_9_1_1_2"><span class="lab"><font color="Green" title="E35">A59</font></span></a>, <a class="ref" href="scmpds_2.html#T49" onmouseover="rs('scmpds_2/T49')" onmouseout="rh()">SCMPDS_2:49</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_9"><span class="lab"><font color="Green" title="E33">A54</font></span></a>, <a class="txt" href="#E2:55_2_9_1_1_2"><span class="lab"><font color="Green" title="E36">A60</font></span></a>, <a class="ref" href="scmpds_2.html#T49" onmouseover="rs('scmpds_2/T49')" onmouseout="rh()">SCMPDS_2:49</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div><a NAME="E5:55_2_9"/>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c15">Nl</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_9"><span class="lab"><font color="Green" title="E33">A54</font></span></a>, <a class="ref" href="scmpds_2.html#T49" onmouseover="rs('scmpds_2/T49')" onmouseout="rh()">SCMPDS_2:49</a></span>;<br/><a NAME="E6:55_2_9"/><span class="kw">then </span>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55"><span class="lab"><font color="Green" title="E23">A1</font></span></a>, <a class="txt" href="#E3:55_2_9"><span class="lab"><font color="Green" title="E33">A54</font></span></a>, <a class="ref" href="scmpds_2.html#T49" onmouseover="rs('scmpds_2/T49')" onmouseout="rh()">SCMPDS_2:49</a></span>;<br/><span class="kw">hence </span><a NAME="E7:55_2_9"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:55_2_9"><span class="lab"><font color="Green" title="E34">A55</font></span></a>, <a class="ref" href="scmpds_2.html#T44" onmouseover="rs('scmpds_2/T44')" onmouseout="rh()">SCMPDS_2:44</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_10"><span class="kw">suppose </span></a><a NAME="E1:55_2_10"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 10
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c18">a</font>, <font color="Maroon" title="c19">b</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>, <font color="Maroon" title="c20">k1</font>, <font color="Maroon" title="c21">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a><span class="kw"> such that </span><br/><a NAME="E3:55_2_10"/><span class="lab"><font color="Green" title="E33">A61</font></span>: 
 <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_2.html#K13" title="SCMPDS_2:func.13">SubFrom</a> (<font color="Maroon" title="c18">a</font>,<font color="Maroon" title="c20">k1</font>,<font color="Maroon" title="c19">b</font>,<font color="Maroon" title="c21">k2</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_2.html#T36" onmouseover="rs('scmpds_2/T36')" onmouseout="rh()">SCMPDS_2:36</a></span>;<br/><div><span class="lab"><font color="Green" title="E34">A62</font></span>: <a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="55_2_10_1"><span class="kw">now </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">c</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> holds  <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">c</font></span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c22">c</font> be   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_10_1_1"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:55_2_10_1_1"/>
(  <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c</font> or  <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c22">c</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_10_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:55_2_10_1_1_1"/><span class="lab"><font color="Green" title="E35">A63</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><a NAME="E2:55_2_10_1_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E36">A64</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><span class="lab"><font color="Green" title="E37">A65</font></span>: <span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span> = 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
;<br/><span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>)</span>)</span> = 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
;<br/><span class="kw">hence </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_10"><span class="lab"><font color="Green" title="E33">A61</font></span></a>, <a class="txt" href="#E1:55_2_10_1_1_1"><span class="lab"><font color="Green" title="E35">A63</font></span></a>, <a class="txt" href="#E3:55_2_10_1_1_1"><span class="lab"><font color="Green" title="E37">A65</font></span></a>, <a class="ref" href="scmpds_2.html#T50" onmouseover="rs('scmpds_2/T50')" onmouseout="rh()">SCMPDS_2:50</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_10"><span class="lab"><font color="Green" title="E33">A61</font></span></a>, <a class="txt" href="#E2:55_2_10_1_1_1"><span class="lab"><font color="Green" title="E36">A64</font></span></a>, <a class="ref" href="scmpds_2.html#T50" onmouseover="rs('scmpds_2/T50')" onmouseout="rh()">SCMPDS_2:50</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
;<br/> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_10_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:55_2_10_1_1_2"/><span class="lab"><font color="Green" title="E35">A66</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c22">c</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><a NAME="E2:55_2_10_1_1_2"/><span class="kw">then </span><span class="lab"><font color="Green" title="E36">A67</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c22">c</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_10"><span class="lab"><font color="Green" title="E33">A61</font></span></a>, <a class="txt" href="#E1:55_2_10_1_1_2"><span class="lab"><font color="Green" title="E35">A66</font></span></a>, <a class="ref" href="scmpds_2.html#T50" onmouseover="rs('scmpds_2/T50')" onmouseout="rh()">SCMPDS_2:50</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_10"><span class="lab"><font color="Green" title="E33">A61</font></span></a>, <a class="txt" href="#E2:55_2_10_1_1_2"><span class="lab"><font color="Green" title="E36">A67</font></span></a>, <a class="ref" href="scmpds_2.html#T50" onmouseover="rs('scmpds_2/T50')" onmouseout="rh()">SCMPDS_2:50</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div><a NAME="E5:55_2_10"/>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c15">Nl</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_10"><span class="lab"><font color="Green" title="E33">A61</font></span></a>, <a class="ref" href="scmpds_2.html#T50" onmouseover="rs('scmpds_2/T50')" onmouseout="rh()">SCMPDS_2:50</a></span>;<br/><a NAME="E6:55_2_10"/><span class="kw">then </span>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55"><span class="lab"><font color="Green" title="E23">A1</font></span></a>, <a class="txt" href="#E3:55_2_10"><span class="lab"><font color="Green" title="E33">A61</font></span></a>, <a class="ref" href="scmpds_2.html#T50" onmouseover="rs('scmpds_2/T50')" onmouseout="rh()">SCMPDS_2:50</a></span>;<br/><span class="kw">hence </span><a NAME="E7:55_2_10"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:55_2_10"><span class="lab"><font color="Green" title="E34">A62</font></span></a>, <a class="ref" href="scmpds_2.html#T44" onmouseover="rs('scmpds_2/T44')" onmouseout="rh()">SCMPDS_2:44</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_11"><span class="kw">suppose </span></a><a NAME="E1:55_2_11"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 11
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c18">a</font>, <font color="Maroon" title="c19">b</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>, <font color="Maroon" title="c20">k1</font>, <font color="Maroon" title="c21">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a><span class="kw"> such that </span><br/><a NAME="E3:55_2_11"/><span class="lab"><font color="Green" title="E33">A68</font></span>: 
 <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">MultBy</a> (<font color="Maroon" title="c18">a</font>,<font color="Maroon" title="c20">k1</font>,<font color="Maroon" title="c19">b</font>,<font color="Maroon" title="c21">k2</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_2.html#T37" onmouseover="rs('scmpds_2/T37')" onmouseout="rh()">SCMPDS_2:37</a></span>;<br/><div><span class="lab"><font color="Green" title="E34">A69</font></span>: <a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="55_2_11_1"><span class="kw">now </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">c</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> holds  <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">c</font></span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c22">c</font> be   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_11_1_1"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:55_2_11_1_1"/>
(  <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c</font> or  <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c22">c</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_11_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:55_2_11_1_1_1"/><span class="lab"><font color="Green" title="E35">A70</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><a NAME="E2:55_2_11_1_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E36">A71</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><span class="lab"><font color="Green" title="E37">A72</font></span>: <span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span> = 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
;<br/><span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>)</span>)</span> = 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
;<br/><span class="kw">hence </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_11"><span class="lab"><font color="Green" title="E33">A68</font></span></a>, <a class="txt" href="#E1:55_2_11_1_1_1"><span class="lab"><font color="Green" title="E35">A70</font></span></a>, <a class="txt" href="#E3:55_2_11_1_1_1"><span class="lab"><font color="Green" title="E37">A72</font></span></a>, <a class="ref" href="scmpds_2.html#T51" onmouseover="rs('scmpds_2/T51')" onmouseout="rh()">SCMPDS_2:51</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_11"><span class="lab"><font color="Green" title="E33">A68</font></span></a>, <a class="txt" href="#E2:55_2_11_1_1_1"><span class="lab"><font color="Green" title="E36">A71</font></span></a>, <a class="ref" href="scmpds_2.html#T51" onmouseover="rs('scmpds_2/T51')" onmouseout="rh()">SCMPDS_2:51</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
;<br/> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_11_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:55_2_11_1_1_2"/><span class="lab"><font color="Green" title="E35">A73</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c22">c</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><a NAME="E2:55_2_11_1_1_2"/><span class="kw">then </span><span class="lab"><font color="Green" title="E36">A74</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c22">c</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_11"><span class="lab"><font color="Green" title="E33">A68</font></span></a>, <a class="txt" href="#E1:55_2_11_1_1_2"><span class="lab"><font color="Green" title="E35">A73</font></span></a>, <a class="ref" href="scmpds_2.html#T51" onmouseover="rs('scmpds_2/T51')" onmouseout="rh()">SCMPDS_2:51</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_11"><span class="lab"><font color="Green" title="E33">A68</font></span></a>, <a class="txt" href="#E2:55_2_11_1_1_2"><span class="lab"><font color="Green" title="E36">A74</font></span></a>, <a class="ref" href="scmpds_2.html#T51" onmouseover="rs('scmpds_2/T51')" onmouseout="rh()">SCMPDS_2:51</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div><a NAME="E5:55_2_11"/>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c15">Nl</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_11"><span class="lab"><font color="Green" title="E33">A68</font></span></a>, <a class="ref" href="scmpds_2.html#T51" onmouseover="rs('scmpds_2/T51')" onmouseout="rh()">SCMPDS_2:51</a></span>;<br/><a NAME="E6:55_2_11"/><span class="kw">then </span>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55"><span class="lab"><font color="Green" title="E23">A1</font></span></a>, <a class="txt" href="#E3:55_2_11"><span class="lab"><font color="Green" title="E33">A68</font></span></a>, <a class="ref" href="scmpds_2.html#T51" onmouseover="rs('scmpds_2/T51')" onmouseout="rh()">SCMPDS_2:51</a></span>;<br/><span class="kw">hence </span><a NAME="E7:55_2_11"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:55_2_11"><span class="lab"><font color="Green" title="E34">A69</font></span></a>, <a class="ref" href="scmpds_2.html#T44" onmouseover="rs('scmpds_2/T44')" onmouseout="rh()">SCMPDS_2:44</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_12"><span class="kw">suppose </span></a><a NAME="E1:55_2_12"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 12
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c18">a</font>, <font color="Maroon" title="c19">b</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>, <font color="Maroon" title="c20">k1</font>, <font color="Maroon" title="c21">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a><span class="kw"> such that </span><br/><a NAME="E3:55_2_12"/><span class="lab"><font color="Green" title="E33">A75</font></span>: 
 <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_2.html#K15" title="SCMPDS_2:func.15">Divide</a> (<font color="Maroon" title="c18">a</font>,<font color="Maroon" title="c20">k1</font>,<font color="Maroon" title="c19">b</font>,<font color="Maroon" title="c21">k2</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_2.html#T38" onmouseover="rs('scmpds_2/T38')" onmouseout="rh()">SCMPDS_2:38</a></span>;<br/><div><span class="lab"><font color="Green" title="E34">A76</font></span>: <a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="55_2_12_1"><span class="kw">now </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">c</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> holds  <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">c</font></span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c22">c</font> be   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><span class="lab"><font color="Green" title="E35">A77</font></span>: <span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>)</span>)</span> = 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
;<br/><span class="lab"><font color="Green" title="E36">A78</font></span>: <span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span> = 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_12_1_3"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:55_2_12_1_3"/>
(  <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c</font> or  <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c22">c</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_12_1_3_1"><span class="kw">suppose </span></a><a NAME="E1:55_2_12_1_3_1"/><span class="lab"><font color="Green" title="E37">A79</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><a NAME="E2:55_2_12_1_3_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E38">A80</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>)</span>)</span></span>)</span> <a href="int_1.html#K5" title="INT_1:func.5">mod</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_12"><span class="lab"><font color="Green" title="E33">A75</font></span></a>, <a class="txt" href="#E1:55_2_12_1"><span class="lab"><font color="Green" title="E35">A77</font></span></a>, <a class="txt" href="#E2:55_2_12_1"><span class="lab"><font color="Green" title="E36">A78</font></span></a>, <a class="txt" href="#E1:55_2_12_1_3_1"><span class="lab"><font color="Green" title="E37">A79</font></span></a>, <a class="ref" href="scmpds_2.html#T52" onmouseover="rs('scmpds_2/T52')" onmouseout="rh()">SCMPDS_2:52</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_12"><span class="lab"><font color="Green" title="E33">A75</font></span></a>, <a class="txt" href="#E2:55_2_12_1_3_1"><span class="lab"><font color="Green" title="E38">A80</font></span></a>, <a class="ref" href="scmpds_2.html#T52" onmouseover="rs('scmpds_2/T52')" onmouseout="rh()">SCMPDS_2:52</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_12_1_3_2"><span class="kw">suppose </span></a><a NAME="E1:55_2_12_1_3_2"/><span class="lab"><font color="Green" title="E37">A81</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c22">c</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><a NAME="E2:55_2_12_1_3_2"/><span class="kw">then </span><span class="lab"><font color="Green" title="E38">A82</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c22">c</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><div><span class="kw">hereby </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span>
<div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_12_1_3_2_1_1"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:55_2_12_1_3_2_1_1"/>
(  <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c22">c</font> or  <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_12_1_3_2_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:55_2_12_1_3_2_1_1_1"/><span class="lab"><font color="Green" title="E39">A83</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c22">c</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font></span><br/><div class="add"><a NAME="E2:55_2_12_1_3_2_1_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E40">A84</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c22">c</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_12"><span class="lab"><font color="Green" title="E33">A75</font></span></a>, <a class="txt" href="#E1:55_2_12_1_3_2"><span class="lab"><font color="Green" title="E37">A81</font></span></a>, <a class="txt" href="#E1:55_2_12_1_3_2_1_1_1"><span class="lab"><font color="Green" title="E39">A83</font></span></a>, <a class="ref" href="scmpds_2.html#T52" onmouseover="rs('scmpds_2/T52')" onmouseout="rh()">SCMPDS_2:52</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_12"><span class="lab"><font color="Green" title="E33">A75</font></span></a>, <a class="txt" href="#E2:55_2_12_1_3_2"><span class="lab"><font color="Green" title="E38">A82</font></span></a>, <a class="txt" href="#E2:55_2_12_1_3_2_1_1_1"><span class="lab"><font color="Green" title="E40">A84</font></span></a>, <a class="ref" href="scmpds_2.html#T52" onmouseover="rs('scmpds_2/T52')" onmouseout="rh()">SCMPDS_2:52</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_12_1_3_2_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:55_2_12_1_3_2_1_1_2"/><span class="lab"><font color="Green" title="E39">A85</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font></span><br/><div class="add"><a NAME="E2:55_2_12_1_3_2_1_1_2"/><span class="kw">then </span><span class="lab"><font color="Green" title="E40">A86</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>)</span>)</span></span>)</span> <a href="int_1.html#K4" title="INT_1:func.4">div</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_12"><span class="lab"><font color="Green" title="E33">A75</font></span></a>, <a class="txt" href="#E1:55_2_12_1"><span class="lab"><font color="Green" title="E35">A77</font></span></a>, <a class="txt" href="#E2:55_2_12_1"><span class="lab"><font color="Green" title="E36">A78</font></span></a>, <a class="txt" href="#E1:55_2_12_1_3_2"><span class="lab"><font color="Green" title="E37">A81</font></span></a>, <a class="txt" href="#E1:55_2_12_1_3_2_1_1_2"><span class="lab"><font color="Green" title="E39">A85</font></span></a>, <a class="ref" href="scmpds_2.html#T52" onmouseover="rs('scmpds_2/T52')" onmouseout="rh()">SCMPDS_2:52</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_12"><span class="lab"><font color="Green" title="E33">A75</font></span></a>, <a class="txt" href="#E2:55_2_12_1_3_2"><span class="lab"><font color="Green" title="E38">A82</font></span></a>, <a class="txt" href="#E2:55_2_12_1_3_2_1_1_2"><span class="lab"><font color="Green" title="E40">A86</font></span></a>, <a class="ref" href="scmpds_2.html#T52" onmouseover="rs('scmpds_2/T52')" onmouseout="rh()">SCMPDS_2:52</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div>
<span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div><a NAME="E5:55_2_12"/>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c15">Nl</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_12"><span class="lab"><font color="Green" title="E33">A75</font></span></a>, <a class="ref" href="scmpds_2.html#T52" onmouseover="rs('scmpds_2/T52')" onmouseout="rh()">SCMPDS_2:52</a></span>;<br/><a NAME="E6:55_2_12"/><span class="kw">then </span>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55"><span class="lab"><font color="Green" title="E23">A1</font></span></a>, <a class="txt" href="#E3:55_2_12"><span class="lab"><font color="Green" title="E33">A75</font></span></a>, <a class="ref" href="scmpds_2.html#T52" onmouseover="rs('scmpds_2/T52')" onmouseout="rh()">SCMPDS_2:52</a></span>;<br/><span class="kw">hence </span><a NAME="E7:55_2_12"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:55_2_12"><span class="lab"><font color="Green" title="E34">A76</font></span></a>, <a class="ref" href="scmpds_2.html#T44" onmouseover="rs('scmpds_2/T44')" onmouseout="rh()">SCMPDS_2:44</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_13"><span class="kw">suppose </span></a><a NAME="E1:55_2_13"/>
 <a href="compos_0.html#K5" title="COMPOS_0:func.5">InsCode</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 13
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span><br/><div class="add"><span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c18">a</font>, <font color="Maroon" title="c19">b</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>, <font color="Maroon" title="c20">k1</font>, <font color="Maroon" title="c21">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a><span class="kw"> such that </span><br/><a NAME="E3:55_2_13"/><span class="lab"><font color="Green" title="E33">A87</font></span>: 
 <a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> (<font color="Maroon" title="c18">a</font>,<font color="Maroon" title="c20">k1</font>) <a href="scmpds_2.html#K16" title="SCMPDS_2:func.16">:=</a> (<font color="Maroon" title="c19">b</font>,<font color="Maroon" title="c21">k2</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_2.html#T39" onmouseover="rs('scmpds_2/T39')" onmouseout="rh()">SCMPDS_2:39</a></span>;<br/><div><span class="lab"><font color="Green" title="E34">A88</font></span>: <a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="55_2_13_1"><span class="kw">now </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">c</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> holds  <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">c</font></span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c22">c</font> be   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_13_1_1"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:55_2_13_1_1"/>
(  <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c</font> or  <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c22">c</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_13_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:55_2_13_1_1_1"/><span class="lab"><font color="Green" title="E35">A89</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><a NAME="E2:55_2_13_1_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E36">A90</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c22">c</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_13"><span class="lab"><font color="Green" title="E33">A87</font></span></a>, <a class="txt" href="#E1:55_2_13_1_1_1"><span class="lab"><font color="Green" title="E35">A89</font></span></a>, <a class="ref" href="scmpds_2.html#T47" onmouseover="rs('scmpds_2/T47')" onmouseout="rh()">SCMPDS_2:47</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p4">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c19">b</font></span>)</span>,<font color="Maroon" title="c21">k2</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_13"><span class="lab"><font color="Green" title="E33">A87</font></span></a>, <a class="txt" href="#E2:55_2_13_1_1_1"><span class="lab"><font color="Green" title="E36">A90</font></span></a>, <a class="ref" href="scmpds_2.html#T47" onmouseover="rs('scmpds_2/T47')" onmouseout="rh()">SCMPDS_2:47</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="55_2_13_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:55_2_13_1_1_2"/><span class="lab"><font color="Green" title="E35">A91</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c22">c</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive">b<sub>1</sub></font></span><br/><div class="add"><a NAME="E2:55_2_13_1_1_2"/><span class="kw">then </span><span class="lab"><font color="Green" title="E36">A92</font></span>: 
 <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c18">a</font></span>)</span>,<font color="Maroon" title="c20">k1</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c22">c</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>;<br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_13"><span class="lab"><font color="Green" title="E33">A87</font></span></a>, <a class="txt" href="#E1:55_2_13_1_1_2"><span class="lab"><font color="Green" title="E35">A91</font></span></a>, <a class="ref" href="scmpds_2.html#T47" onmouseover="rs('scmpds_2/T47')" onmouseout="rh()">SCMPDS_2:47</a></span>
<br/>.= 
<font color="Maroon" title="c6">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_13"><span class="lab"><font color="Green" title="E33">A87</font></span></a>, <a class="txt" href="#E2:55_2_13_1_1_2"><span class="lab"><font color="Green" title="E36">A92</font></span></a>, <a class="ref" href="scmpds_2.html#T47" onmouseover="rs('scmpds_2/T47')" onmouseout="rh()">SCMPDS_2:47</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c22">c</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_3.html#T6" onmouseover="rs('scmpds_3/T6')" onmouseout="rh()">SCMPDS_3:6</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div><a NAME="E5:55_2_13"/>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c15">Nl</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55_2_13"><span class="lab"><font color="Green" title="E33">A87</font></span></a>, <a class="ref" href="scmpds_2.html#T47" onmouseover="rs('scmpds_2/T47')" onmouseout="rh()">SCMPDS_2:47</a></span>;<br/><a NAME="E6:55_2_13"/><span class="kw">then </span>
 <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">s</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p3">(<span class="default"><a href="memstr_0.html#K7" title="MEMSTR_0:func.7">Start-At</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <font color="Maroon" title="c6">s</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c3">n</font></span>)</span>,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>)</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K5" title="MEMSTR_0:func.5">IC</a> <span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p2">(<span class="default"><a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p3">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55"><span class="lab"><font color="Green" title="E23">A1</font></span></a>, <a class="txt" href="#E3:55_2_13"><span class="lab"><font color="Green" title="E33">A87</font></span></a>, <a class="ref" href="scmpds_2.html#T47" onmouseover="rs('scmpds_2/T47')" onmouseout="rh()">SCMPDS_2:47</a></span>;<br/><span class="kw">hence </span><a NAME="E7:55_2_13"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K3" title="EXTPRO_1:func.3">CurInstr</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Maroon" title="c6">s</font>,<font color="Maroon" title="c3">n</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<span class="p1">(<span class="default"><a href="extpro_1.html#K4" title="EXTPRO_1:func.4">Following</a> (<font color="Maroon" title="c4">P</font>,<font color="Maroon" title="c6">s</font>)</span>)</span>,<font color="Maroon" title="c3">n</font>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:55_2_13"><span class="lab"><font color="Green" title="E34">A88</font></span></a>, <a class="ref" href="scmpds_2.html#T44" onmouseover="rs('scmpds_2/T44')" onmouseout="rh()">SCMPDS_2:44</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div>

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