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<div><span class="kw">theorem </span><a NAME="T46"><span class="comment"><font color="firebrick">:: MODAL_1:46</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font> being   <a href="modal_1.html#NM1" title="MODAL_1:NM.1">MP-variable</a><br/>  for <font color="Olive" title="b2">A</font>, <font color="Olive" title="b3">B</font> being   <a href="modal_1.html#NM3" title="MODAL_1:NM.3">MP-wff</a> holds <br/> (  <a href="modal_1.html#K17" title="MODAL_1:func.17">VERUM</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="modal_1.html#K16" title="MODAL_1:func.16">@</a> <font color="Olive" title="b1">p</font> &amp;  <a href="modal_1.html#K17" title="MODAL_1:func.17">VERUM</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="modal_1.html#K10" title="MODAL_1:func.10">'not'</a> <font color="Olive" title="b2">A</font> &amp;  <a href="modal_1.html#K17" title="MODAL_1:func.17">VERUM</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="modal_1.html#K11" title="MODAL_1:func.11">(#)</a> <font color="Olive" title="b2">A</font> &amp;  <a href="modal_1.html#K17" title="MODAL_1:func.17">VERUM</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">A</font> <a href="modal_1.html#K12" title="MODAL_1:func.12">'&amp;'</a> <font color="Olive" title="b3">B</font> ) <span class="kw">by</span> <span class="lab"><a class="txt" href="modal_1.html#E68"><span class="lab"><font color="Green" title="E47">Lm4</font></span></a>, <a class="txt" href="modal_1.html#E70"><span class="lab"><font color="Green" title="E49">Lm6</font></span></a></span>;<br/></div></div>
