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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> ] means ( <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">E27</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being  <a href="nat_1.html#NM1">Nat</a><br/>for <font color="Olive">b<sub>2</sub></font> being  <a href="qc_lang1.html#NM6">QC-pred_symbol</a> of <font color="Olive">b<sub>1</sub></font><br/>for <font color="Olive">b<sub>3</sub></font> being   <a href="qc_lang1.html#M1">QC-variable_list</a> of <font color="Olive">b<sub>1</sub></font><br/>for <font color="Olive">b<sub>4</sub></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">b<sub>2</sub></font>,<font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>4</sub></font>]
 
;<br/>
<a NAME="E2:51"/><i><font color="Green">E28</font></i>: 
for <font color="Olive">b<sub>1</sub></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">b<sub>1</sub></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">b<sub>1</sub></font>]
 
;<br/>
<a NAME="E3:51"/><i><font color="Green">E29</font></i>: 
for <font color="Olive">b<sub>1</sub></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">b<sub>1</sub></font>] holds <br/><font color="Maroon">S<sub>1</sub></font>[ <a href="substut1.html#K20" target="_self">Sub_not</a> <font color="Olive">b<sub>1</sub></font>]
 
<b>by </b><i><a class="ref" href="substut1.html#D26" target="_self">Def26</a></i>;<br/>
<a NAME="E4:51"/><i><font color="Green">E30</font></i>: 
for <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></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">b<sub>1</sub></font> <a href="substut1.html#K19" target="_self">`2</a>  <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>2</sub></font> <a href="substut1.html#K19" target="_self">`2</a>  &amp; <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">b<sub>1</sub></font>] &amp; <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">b<sub>2</sub></font>] holds <br/><font color="Maroon">S<sub>1</sub></font>[ <a href="substut1.html#K21" target="_self">Sub_&amp;</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font>]
 
<b>by </b><i><a class="ref" href="substut1.html#D27" target="_self">Def27</a></i>;<br/>
<a NAME="E5:51"/><i><font color="Green">E31</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being  <a href="qc_lang1.html#NM3">bound_QC-variable</a><br/>for <font color="Olive">b<sub>2</sub></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">b<sub>3</sub></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">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></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">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></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">b<sub>2</sub></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">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font></span><a href="substut1.html#K25" target="_self">]</a></span>,<font color="Olive">b<sub>3</sub></font>]
 
<b>by </b><i><a class="ref" href="substut1.html#D28" target="_self">Def28</a></i>;<br/>
<b>thus </b><a NAME="E6:51"/>
for <font color="Olive">b<sub>1</sub></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">b<sub>1</sub></font>]
 <b>from </b><i><a class="ref" href="substut1.html#S1" target="_self">SUBSTUT1:sch 1</a>(<a class="txt" href="substut1.html#E1:51"><i><font color="Green">E27</font></i></a>, <a class="txt" href="substut1.html#E2:51"><i><font color="Green">E28</font></i></a>, <a class="txt" href="substut1.html#E3:51"><i><font color="Green">E29</font></i></a>, <a class="txt" href="substut1.html#E4:51"><i><font color="Green">E30</font></i></a>, <a class="txt" href="substut1.html#E5:51"><i><font color="Green">E31</font></i></a>);</i><br/>


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