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<div><span class="kw">theorem </span><a NAME="T18"><span class="comment"><font color="firebrick">:: PL_AXIOM:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">B</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="pl_axiom.html#K1" title="PL_AXIOM:func.1">PL-WFF</a> <br/>  for <font color="Olive" title="b3">M</font> being   <a href="pl_axiom.html#NM1" title="PL_AXIOM:NM.1">PLModel</a> holds <br/> ( <span class="p1">(<span class="default"><a href="pl_axiom.html#K11" title="PL_AXIOM:func.11">SAT</a> <font color="Olive" title="b3">M</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">A</font> <a href="pl_axiom.html#K3" title="PL_AXIOM:func.3">=&gt;</a> <font color="Olive" title="b2">B</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 iff ( <span class="p1">(<span class="default"><a href="pl_axiom.html#K11" title="PL_AXIOM:func.11">SAT</a> <font color="Olive" title="b3">M</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b1">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  or <span class="p1">(<span class="default"><a href="pl_axiom.html#K11" title="PL_AXIOM:func.11">SAT</a> <font color="Olive" title="b3">M</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b2">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 ) )</div></div>
