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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E19">Th43</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: GRZLOG_1:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="grzlog_1.html#K13" title="GRZLOG_1:func.13">GRZ-formula-set</a><br/>  for <font color="Olive" title="b2">R</font> being   <a href="grzlog_1.html#NM3" title="GRZLOG_1:NM.3">GRZ-rule</a><br/>  for <font color="Olive" title="b3">S1</font>, <font color="Olive" title="b4">S2</font> being   <a href="grzlog_1.html#NM5" title="GRZLOG_1:NM.5">GRZ-formula-finset</a>  st <font color="Olive" title="b3">S1</font> is <font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">R</font> <a href="grzlog_1.html#V6" title="GRZLOG_1:attr.6">-correct</a>  &amp; <font color="Olive" title="b4">S2</font> is <font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">R</font> <a href="grzlog_1.html#V6" title="GRZLOG_1:attr.6">-correct</a>  holds <br/><font color="Olive" title="b3">S1</font> <a href="grzlog_1.html#K30" title="GRZLOG_1:func.30">\/</a> <font color="Olive" title="b4">S2</font> is <font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">R</font> <a href="grzlog_1.html#V6" title="GRZLOG_1:attr.6">-correct</a> </div></div>
