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<b>let </b><font color="Maroon" title="c1">s</font> be   <a href="ami_1.html#NM5" title="AMI_1:NM.5">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">l1</font>, <font color="Olive" title="b2">l2</font> being   <a href="ami_1.html#M3" title="AMI_1:mode.3">Instruction-Location</a> of  <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a> <br/> for <font color="Olive" title="b3">i1</font>, <font color="Olive" title="b4">i2</font> being  <a href="ami_1.html#NM4" title="AMI_1:NM.4">Instruction</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>  holds  <font color="Maroon" title="c1">s</font> <a href="ami_1.html#K36" title="AMI_1:func.36">+*</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">l1</font>,<font color="Olive" title="b2">l2</font> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <font color="Olive" title="b3">i1</font>,<font color="Olive" title="b4">i2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s</font> <a href="ami_1.html#K39" title="AMI_1:func.39">+*</a> <font color="Olive" title="b1">l1</font>,<font color="Olive" title="b3">i1</font></span>)</span> <a href="ami_1.html#K39" title="AMI_1:func.39">+*</a> <font color="Olive" title="b2">l2</font>,<font color="Olive" title="b4">i2</font></span><br/><b>let </b><font color="Maroon" title="c2">l1</font>, <font color="Maroon" title="c3">l2</font> be    <a href="ami_1.html#M3" title="AMI_1:mode.3">Instruction-Location</a> of  <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">i1</font>, <font color="Olive" title="b2">i2</font> being  <a href="ami_1.html#NM4" title="AMI_1:NM.4">Instruction</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>  holds  <font color="Maroon" title="c1">s</font> <a href="ami_1.html#K36" title="AMI_1:func.36">+*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">l1</font>,<font color="Maroon" title="c3">l2</font> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <font color="Olive" title="b1">i1</font>,<font color="Olive" title="b2">i2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s</font> <a href="ami_1.html#K39" title="AMI_1:func.39">+*</a> <font color="Maroon" title="c2">l1</font>,<font color="Olive" title="b1">i1</font></span>)</span> <a href="ami_1.html#K39" title="AMI_1:func.39">+*</a> <font color="Maroon" title="c3">l2</font>,<font color="Olive" title="b2">i2</font></span><br/><b>let </b><font color="Maroon" title="c4">i1</font>, <font color="Maroon" title="c5">i2</font> be   <a href="ami_1.html#NM4" title="AMI_1:NM.4">Instruction</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">s</font> <a href="ami_1.html#K36" title="AMI_1:func.36">+*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">l1</font>,<font color="Maroon" title="c3">l2</font> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <font color="Maroon" title="c4">i1</font>,<font color="Maroon" title="c5">i2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s</font> <a href="ami_1.html#K39" title="AMI_1:func.39">+*</a> <font color="Maroon" title="c2">l1</font>,<font color="Maroon" title="c4">i1</font></span>)</span> <a href="ami_1.html#K39" title="AMI_1:func.39">+*</a> <font color="Maroon" title="c3">l2</font>,<font color="Maroon" title="c5">i2</font></span><br/>









<a NAME="E1:64"/><i><font color="Green" title="E38">A1</font></i>: 
<font color="Maroon" title="c2">l1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c1">s</font>
 
<b>by </b><i><a class="ref" href="scmpds_4.html#T68" target="_self" title="SCMPDS_4:th.68">Th68</a></i>;<br/>
<a NAME="E2:64"/><i><font color="Green" title="E39">A2</font></i>: 
<font color="Maroon" title="c3">l2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">s</font> <a href="ami_1.html#K39" title="AMI_1:func.39">+*</a> <font color="Maroon" title="c2">l1</font>,<font color="Maroon" title="c4">i1</font></span>)</span>
 
<b>by </b><i><a class="ref" href="scmpds_4.html#T68" target="_self" title="SCMPDS_4:th.68">Th68</a></i>;<br/>
<b>thus </b><font color="Maroon" title="c1">s</font> <a href="ami_1.html#K36" title="AMI_1:func.36">+*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">l1</font>,<font color="Maroon" title="c3">l2</font> <a href="scmpds_4.html#K10" title="SCMPDS_4:func.10">--&gt;</a> <font color="Maroon" title="c4">i1</font>,<font color="Maroon" title="c5">i2</font></span>)</span> = 
<font color="Maroon" title="c1">s</font> <a href="ami_1.html#K36" title="AMI_1:func.36">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">l1</font> <a href="ami_1.html#K30" title="AMI_1:func.30">.--&gt;</a> <font color="Maroon" title="c4">i1</font></span>)</span> <a href="ami_1.html#K37" title="AMI_1:func.37">+*</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">l2</font> <a href="ami_1.html#K30" title="AMI_1:func.30">.--&gt;</a> <font color="Maroon" title="c5">i2</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="funct_4.html#D4" title="FUNCT_4:def.4">FUNCT_4:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c1">s</font> <a href="ami_1.html#K36" title="AMI_1:func.36">+*</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">l1</font> <a href="ami_1.html#K30" title="AMI_1:func.30">.--&gt;</a> <font color="Maroon" title="c4">i1</font></span>)</span></span>)</span> <a href="ami_1.html#K36" title="AMI_1:func.36">+*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">l2</font> <a href="ami_1.html#K30" title="AMI_1:func.30">.--&gt;</a> <font color="Maroon" title="c5">i2</font></span>)</span>
<b>by </b><i><a class="ref" href="funct_4.html#T15" title="FUNCT_4:th.15">FUNCT_4:15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c1">s</font> <a href="ami_1.html#K39" title="AMI_1:func.39">+*</a> <font color="Maroon" title="c2">l1</font>,<font color="Maroon" title="c4">i1</font></span>)</span> <a href="ami_1.html#K36" title="AMI_1:func.36">+*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">l2</font> <a href="ami_1.html#K30" title="AMI_1:func.30">.--&gt;</a> <font color="Maroon" title="c5">i2</font></span>)</span>
<b>by </b><i><a class="txt" href="#E1:64"><i><font color="Green" title="E38">A1</font></i></a>, <a class="ref" href="funct_7.html#D3" title="FUNCT_7:def.3">FUNCT_7:def 3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c1">s</font> <a href="ami_1.html#K39" title="AMI_1:func.39">+*</a> <font color="Maroon" title="c2">l1</font>,<font color="Maroon" title="c4">i1</font></span>)</span> <a href="ami_1.html#K39" title="AMI_1:func.39">+*</a> <font color="Maroon" title="c3">l2</font>,<font color="Maroon" title="c5">i2</font>
<b>by </b><i><a class="txt" href="#E2:64"><i><font color="Green" title="E39">A2</font></i></a>, <a class="ref" href="funct_7.html#D3" title="FUNCT_7:def.3">FUNCT_7:def 3</a></i>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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