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<div><span class="kw">theorem </span><a NAME="T79"><span class="comment"><font color="firebrick">:: SCMPDS_2:79</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">I</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   holds <br/>(  not <font color="Olive" title="b1">I</font> is   <a href="compos_1.html#NM1" title="COMPOS_1:NM.1">Instruction</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a> or <font color="Olive" title="b1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">[</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>,<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">]</a></span> or  ex <font color="Olive" title="b2">k1</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> st <font color="Olive" title="b1">I</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="Olive" title="b2">k1</font> or  ex <font color="Olive" title="b2">a</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> st <font color="Olive" title="b1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">return</a> <font color="Olive" title="b2">a</font> or  ex <font color="Olive" title="b2">a</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> ex <font color="Olive" title="b3">k1</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> st <font color="Olive" title="b1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_2.html#K6" title="SCMPDS_2:func.6">saveIC</a> (<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">k1</font>) or  ex <font color="Olive" title="b2">a</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> ex <font color="Olive" title="b3">k1</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> st <font color="Olive" title="b1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">a</font> <a href="scmpds_2.html#K5" title="SCMPDS_2:func.5">:=</a> <font color="Olive" title="b3">k1</font> or  ex <font color="Olive" title="b2">a</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> ex <font color="Olive" title="b3">k1</font>, <font color="Olive" title="b4">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> st <font color="Olive" title="b1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> (<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">k1</font>) <a href="scmpds_2.html#K10" title="SCMPDS_2:func.10">:=</a> <font color="Olive" title="b4">k2</font> or  ex <font color="Olive" title="b2">a</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> ex <font color="Olive" title="b3">k1</font>, <font color="Olive" title="b4">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> st <font color="Olive" title="b1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> (<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">k1</font>) <a href="scmpds_2.html#K7" title="SCMPDS_2:func.7">&lt;&gt;0_goto</a> <font color="Olive" title="b4">k2</font> or  ex <font color="Olive" title="b2">a</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> ex <font color="Olive" title="b3">k1</font>, <font color="Olive" title="b4">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> st <font color="Olive" title="b1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> (<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">k1</font>) <a href="scmpds_2.html#K8" title="SCMPDS_2:func.8">&lt;=0_goto</a> <font color="Olive" title="b4">k2</font> or  ex <font color="Olive" title="b2">a</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> ex <font color="Olive" title="b3">k1</font>, <font color="Olive" title="b4">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> st <font color="Olive" title="b1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> (<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">k1</font>) <a href="scmpds_2.html#K9" title="SCMPDS_2:func.9">&gt;=0_goto</a> <font color="Olive" title="b4">k2</font> or  ex <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> ex <font color="Olive" title="b4">k1</font>, <font color="Olive" title="b5">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> st <font color="Olive" title="b1">I</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="Olive" title="b2">a</font>,<font color="Olive" title="b4">k1</font>,<font color="Olive" title="b5">k2</font>) or  ex <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> ex <font color="Olive" title="b4">k1</font>, <font color="Olive" title="b5">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> st <font color="Olive" title="b1">I</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="Olive" title="b2">a</font>,<font color="Olive" title="b4">k1</font>,<font color="Olive" title="b3">b</font>,<font color="Olive" title="b5">k2</font>) or  ex <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> ex <font color="Olive" title="b4">k1</font>, <font color="Olive" title="b5">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> st <font color="Olive" title="b1">I</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="Olive" title="b2">a</font>,<font color="Olive" title="b4">k1</font>,<font color="Olive" title="b3">b</font>,<font color="Olive" title="b5">k2</font>) or  ex <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> ex <font color="Olive" title="b4">k1</font>, <font color="Olive" title="b5">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> st <font color="Olive" title="b1">I</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="Olive" title="b2">a</font>,<font color="Olive" title="b4">k1</font>,<font color="Olive" title="b3">b</font>,<font color="Olive" title="b5">k2</font>) or  ex <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> ex <font color="Olive" title="b4">k1</font>, <font color="Olive" title="b5">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> st <font color="Olive" title="b1">I</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="Olive" title="b2">a</font>,<font color="Olive" title="b4">k1</font>,<font color="Olive" title="b3">b</font>,<font color="Olive" title="b5">k2</font>) or  ex <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="scmpds_2.html#NM1" title="SCMPDS_2:NM.1">Int_position</a> ex <font color="Olive" title="b4">k1</font>, <font color="Olive" title="b5">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> st <font color="Olive" title="b1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> (<font color="Olive" title="b2">a</font>,<font color="Olive" title="b4">k1</font>) <a href="scmpds_2.html#K16" title="SCMPDS_2:func.16">:=</a> (<font color="Olive" title="b3">b</font>,<font color="Olive" title="b5">k2</font>) )</div></div>
