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<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[   <a href="modal_1.html#M2" target="_self">Element</a> of  <a href="modal_1.html#K6" target="_self">MP-WFF</a> ] means ( <font color="Maroon">a<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="modal_1.html#K17" target="_self">VERUM</a>  or <font color="Maroon">a<sub>1</sub></font> is  <a href="modal_1.html#V1" target="_self">atomic</a> <a href="modal_1.html#NM5">MP-wff</a> or <font color="Maroon">a<sub>1</sub></font> is  <a href="modal_1.html#V2" target="_self">negative</a> <a href="modal_1.html#NM5">MP-wff</a> or <font color="Maroon">a<sub>1</sub></font> is  <a href="modal_1.html#V3" target="_self">necessitive</a> <a href="modal_1.html#NM5">MP-wff</a> or <font color="Maroon">a<sub>1</sub></font> is  <a href="modal_1.html#V4" target="_self">conjunctive</a> <a href="modal_1.html#NM5">MP-wff</a> );<br/>
<a NAME="E1:68"/><i><font color="Green">E51</font></i>: 
<font color="Maroon">S<sub>1</sub></font>[ <a href="modal_1.html#K17" target="_self">VERUM</a> ]
 
;<br/>
<a NAME="E2:68"/><i><font color="Green">E52</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being  <a href="modal_1.html#NM1">MP-variable</a> holds <font color="Maroon">S<sub>1</sub></font>[ <a href="modal_1.html#K16" target="_self">@</a> <font color="Olive">b<sub>1</sub></font>]
 
<b>by </b><i><a class="ref" href="modal_1.html#D17" target="_self">Def17</a></i>;<br/>
<a NAME="E3:68"/><i><font color="Green">E53</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being   <a href="modal_1.html#M2" target="_self">Element</a> of  <a href="modal_1.html#K6" target="_self">MP-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="modal_1.html#K10" target="_self">'not'</a> <font color="Olive">b<sub>1</sub></font>]
 
<b>by </b><i><a class="ref" href="modal_1.html#D18" target="_self">Def18</a></i>;<br/>
<a NAME="E4:68"/><i><font color="Green">E54</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being   <a href="modal_1.html#M2" target="_self">Element</a> of  <a href="modal_1.html#K6" target="_self">MP-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="modal_1.html#K11" target="_self">(#)</a> <font color="Olive">b<sub>1</sub></font>]
 
<b>by </b><i><a class="ref" href="modal_1.html#D19" target="_self">Def19</a></i>;<br/>
<a NAME="E5:68"/><i><font color="Green">E55</font></i>: 
for <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="modal_1.html#M2" target="_self">Element</a> of  <a href="modal_1.html#K6" target="_self">MP-WFF</a>  st <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>[<font color="Olive">b<sub>1</sub></font> <a href="modal_1.html#K12" target="_self">'&amp;'</a> <font color="Olive">b<sub>2</sub></font>]
 
<b>by </b><i><a class="ref" href="modal_1.html#D20" target="_self">Def20</a></i>;<br/>
<b>thus </b><a NAME="E6:68"/>
for <font color="Olive">b<sub>1</sub></font> being   <a href="modal_1.html#M2" target="_self">Element</a> of  <a href="modal_1.html#K6" target="_self">MP-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="modal_1.html#S1" target="_self">MODAL_1:sch 1</a>(<a class="txt" href="modal_1.html#E1:68"><i><font color="Green">E51</font></i></a>, <a class="txt" href="modal_1.html#E2:68"><i><font color="Green">E52</font></i></a>, <a class="txt" href="modal_1.html#E3:68"><i><font color="Green">E53</font></i></a>, <a class="txt" href="modal_1.html#E4:68"><i><font color="Green">E54</font></i></a>, <a class="txt" href="modal_1.html#E5:68"><i><font color="Green">E55</font></i></a>);</i><br/>


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