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<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[   <a href="subset_1.html#M1">Element</a> of  <a href="substut1.html#K16" target="_self">QC-Sub-WFF</a> ] <b>means </b>( <font color="Maroon">a<sub>1</sub></font> is <a href="substut1.html#V2" target="_self">Sub_VERUM</a> or <font color="Maroon">a<sub>1</sub></font> is <a href="substut1.html#V4" target="_self">Sub_atomic</a> or <font color="Maroon">a<sub>1</sub></font> is <a href="substut1.html#V5" target="_self">Sub_negative</a> or <font color="Maroon">a<sub>1</sub></font> is <a href="substut1.html#V6" target="_self">Sub_conjunctive</a> or <font color="Maroon">a<sub>1</sub></font> is <a href="substut1.html#V7" target="_self">Sub_universal</a> );<br/>
<a NAME="E1:51"/><i><font color="Green">E40</font></i>: 
for <font color="Olive">k</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> <br/> for <font color="Olive">p</font> being  <a href="qc_lang1.html#NM6">QC-pred_symbol</a> of <font color="Olive">k</font><br/> for <font color="Olive">ll</font> being   <a href="qc_lang1.html#M1">QC-variable_list</a> of <font color="Olive">k</font><br/> for <font color="Olive">e</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="substut1.html#K1" target="_self">vSUB</a>  holds  <font color="Maroon">S<sub>1</sub></font>[ <a href="substut1.html#K17" target="_self">Sub_P</a> <font color="Olive">p</font>,<font color="Olive">ll</font>,<font color="Olive">e</font>]
 
;<br/>
<a NAME="E2:51"/><i><font color="Green">E43</font></i>: 
for <font color="Olive">S</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="substut1.html#K16" target="_self">QC-Sub-WFF</a>   st <font color="Olive">S</font> is <a href="substut1.html#V2" target="_self">Sub_VERUM</a> holds <br/><font color="Maroon">S<sub>1</sub></font>[<font color="Olive">S</font>]
 
;<br/>
<a NAME="E3:51"/><i><font color="Green">E45</font></i>: 
for <font color="Olive">S</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="substut1.html#K16" target="_self">QC-Sub-WFF</a>   st <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">S</font>] holds <br/><font color="Maroon">S<sub>1</sub></font>[ <a href="substut1.html#K20" target="_self">Sub_not</a> <font color="Olive">S</font>]
 
<b>by </b><i/>;<br/>
<a NAME="E4:51"/><i><font color="Green">E46</font></i>: 
for <font color="Olive">S1</font>, <font color="Olive">S2</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="substut1.html#K16" target="_self">QC-Sub-WFF</a>   st <font color="Olive">S1</font> <a href="substut1.html#K19" target="_self">`2</a>  <a href="hidden.html#R1">=</a> <font color="Olive">S2</font> <a href="substut1.html#K19" target="_self">`2</a>  &amp; <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">S1</font>] &amp; <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">S2</font>] holds <br/><font color="Maroon">S<sub>1</sub></font>[ <a href="substut1.html#K21" target="_self">Sub_&amp;</a> <font color="Olive">S1</font>,<font color="Olive">S2</font>]
 
<b>by </b><i/>;<br/>
<a NAME="E5:51"/><i><font color="Green">E47</font></i>: 
for <font color="Olive">x</font> being  <a href="qc_lang1.html#NM3">bound_QC-variable</a><br/> for <font color="Olive">S</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="substut1.html#K16" target="_self">QC-Sub-WFF</a> <br/> for <font color="Olive">SQ</font> being   <a href="substut1.html#M1" target="_self">second_Q_comp</a> of <span class="p1"><a href="substut1.html#K25" target="_self">[</a><span class="default"><font color="Olive">S</font>,<font color="Olive">x</font></span><a href="substut1.html#K25" target="_self">]</a></span>  st <span class="p1"><a href="substut1.html#K25" target="_self">[</a><span class="default"><font color="Olive">S</font>,<font color="Olive">x</font></span><a href="substut1.html#K25" target="_self">]</a></span> is <a href="substut1.html#V3" target="_self">quantifiable</a> &amp; <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">S</font>] holds <br/><font color="Maroon">S<sub>1</sub></font>[ <a href="substut1.html#K24" target="_self">Sub_All</a> <span class="p1"><a href="substut1.html#K25" target="_self">[</a><span class="default"><font color="Olive">S</font>,<font color="Olive">x</font></span><a href="substut1.html#K25" target="_self">]</a></span>,<font color="Olive">SQ</font>]
 
<b>by </b><i/>;<br/>
<b>thus </b><a NAME="E6:51"/>
for <font color="Olive">S</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="substut1.html#K16" target="_self">QC-Sub-WFF</a>  holds  <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">S</font>]
 <b>from </b><i><a class="ref" href="substut1.html#S1" target="_self">SUBSTUT1:sch 1</a>(, , , , );</i><br/>


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