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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E22">Th52</font></span>: <a NAME="T13"><span class="comment"><font color="firebrick">:: PROOFS_1:13</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">B</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">R</font> being   <a href="proofs_1.html#NM2" title="PROOFS_1:NM.2">Rule</a><br/>  for <font color="Olive" title="b3">S1</font>, <font color="Olive" title="b4">S2</font> being   <a href="proofs_1.html#NM3" title="PROOFS_1:NM.3">Formula-finset</a>  st <font color="Olive" title="b3">S1</font> is <font color="Olive" title="b1">B</font>,<font color="Olive" title="b2">R</font> <a href="proofs_1.html#V3" title="PROOFS_1:attr.3">-derivable</a>  &amp; <font color="Olive" title="b4">S2</font> is <font color="Olive" title="b3">S1</font>,<font color="Olive" title="b2">R</font> <a href="proofs_1.html#V3" title="PROOFS_1:attr.3">-derivable</a>  holds <br/><font color="Olive" title="b3">S1</font> <a href="proofs_1.html#K3" title="PROOFS_1:func.3">\/</a> <font color="Olive" title="b4">S2</font> is <font color="Olive" title="b1">B</font>,<font color="Olive" title="b2">R</font> <a href="proofs_1.html#V3" title="PROOFS_1:attr.3">-derivable</a> </div></div>
