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<a NAME="E1:46_1"/><i><font color="Green" title="E30">A6</font></i>: 
for <font color="Olive" title="b1">r</font>, <font color="Olive" title="b2">s</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="cqc_lang.html#K4" title="CQC_LANG:func.4">CQC-WFF</a> <br/> for <font color="Olive" title="b3">x</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="qc_lang1.html#K2" title="QC_LANG1:func.2">bound_QC-variables</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">P<sub>1</sub></font>[ <a href="cqc_lang.html#K6" title="CQC_LANG:func.6">VERUM</a> ] &amp; <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b6">P</font> <a href="cqc_lang.html#K5" title="CQC_LANG:func.5">!</a> <font color="Olive" title="b5">l</font>] &amp; ( <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b1">r</font>] implies <font color="Maroon">P<sub>1</sub></font>[ <a href="cqc_lang.html#K7" title="CQC_LANG:func.7">'not'</a> <font color="Olive" title="b1">r</font>] ) &amp; ( <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b1">r</font>] &amp; <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b2">s</font>] implies <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b1">r</font> <a href="cqc_lang.html#K8" title="CQC_LANG:func.8">'&amp;'</a> <font color="Olive" title="b2">s</font>] ) &amp; ( <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b1">r</font>] implies <font color="Maroon">P<sub>1</sub></font>[ <a href="cqc_lang.html#K12" title="CQC_LANG:func.12">All</a> <font color="Olive" title="b3">x</font>,<font color="Olive" title="b1">r</font>] ) )
 
<b>by </b><i><a class="txt" href="cqc_sim1.html#E1:46"><i><font color="Green" title="E25">A1</font></i></a>, <a class="txt" href="cqc_sim1.html#E2:46"><i><font color="Green" title="E26">A2</font></i></a>, <a class="txt" href="cqc_sim1.html#E3:46"><i><font color="Green" title="E27">A3</font></i></a>, <a class="txt" href="cqc_sim1.html#E4:46"><i><font color="Green" title="E28">A4</font></i></a>, <a class="txt" href="cqc_sim1.html#E5:46"><i><font color="Green" title="E29">A5</font></i></a></i>;<br/>
<b>thus </b><a NAME="E2:46_1"/>
for <font color="Olive" title="b1">r</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="cqc_lang.html#K4" title="CQC_LANG:func.4">CQC-WFF</a>  holds  <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b1">r</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="cqc_sim1.html#E1:46_1"><i><font color="Green" title="E30">A6</font></i></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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