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<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="qc_lang1.html#K8" title="QC_LANG1:func.8">QC-WFF</a> ] <b>means </b> <a href="qc_lang1.html#K23" title="QC_LANG1:func.23">still_not-bound_in</a> $1 <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="substut1.html#K9" title="SUBSTUT1:func.9">Bound_Vars</a> $1;<br/>
<a NAME="E1:61"/><i><font color="Green" title="E48">A1</font></i>: 
for <font color="Olive" title="b1">p</font>, <font color="Olive" title="b2">q</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="cqc_lang.html#K7" title="CQC_LANG:func.7">CQC-WFF</a> <br/> for <font color="Olive" title="b3">x</font> being  <a href="qc_lang1.html#NM3" title="QC_LANG1:NM.3">bound_QC-variable</a><br/> for <font color="Olive" title="b4">k</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <br/> for <font color="Olive" title="b5">l</font> being  <a href="cqc_lang.html#NM2" title="CQC_LANG:NM.2">CQC-variable_list</a> of <font color="Olive" title="b4">k</font><br/> for <font color="Olive" title="b6">P</font> being  <a href="qc_lang1.html#NM6" title="QC_LANG1:NM.6">QC-pred_symbol</a> of <font color="Olive" title="b4">k</font> holds <br/> ( <font color="Maroon">S<sub>1</sub></font>[ <a href="cqc_lang.html#K9" title="CQC_LANG:func.9">VERUM</a> ] &amp; <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b6">P</font> <a href="cqc_lang.html#K8" title="CQC_LANG:func.8">!</a> <font color="Olive" title="b5">l</font>] &amp; ( <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">p</font>] implies <font color="Maroon">S<sub>1</sub></font>[ <a href="cqc_lang.html#K10" title="CQC_LANG:func.10">'not'</a> <font color="Olive" title="b1">p</font>] ) &amp; ( <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">p</font>] &amp; <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b2">q</font>] implies <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">p</font> <a href="cqc_lang.html#K11" title="CQC_LANG:func.11">'&amp;'</a> <font color="Olive" title="b2">q</font>] ) &amp; ( <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">p</font>] implies <font color="Maroon">S<sub>1</sub></font>[ <a href="cqc_lang.html#K15" title="CQC_LANG:func.15">All</a> <font color="Olive" title="b3">x</font>,<font color="Olive" title="b1">p</font>] ) )
 
<b>by </b><i><a class="ref" href="sublemma.html#T44" target="_self" title="SUBLEMMA:th.44">Th44</a>, <a class="ref" href="sublemma.html#T45" target="_self" title="SUBLEMMA:th.45">Th45</a>, <a class="ref" href="sublemma.html#T46" target="_self" title="SUBLEMMA:th.46">Th46</a>, <a class="ref" href="sublemma.html#T47" target="_self" title="SUBLEMMA:th.47">Th47</a>, <a class="ref" href="qc_lang3.html#T7" title="QC_LANG3:th.7">QC_LANG3:7</a>, <a class="ref" href="substut1.html#T2" title="SUBSTUT1:th.2">SUBSTUT1:2</a></i>;<br/>
<b>thus </b><a NAME="E2:61"/>
for <font color="Olive" title="b1">p</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="cqc_lang.html#K7" title="CQC_LANG:func.7">CQC-WFF</a>  holds  <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">p</font>]
 <b>from </b><i><a class="ref" href="cqc_lang.html#S1" title="CQC_LANG:sch.1">CQC_LANG:sch 1</a>(<a class="txt" href="sublemma.html#E1:61"><i><font color="Green" title="E48">A1</font></i></a>);</i><br/>


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