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<div><span class="kw">theorem </span><a NAME="T19"><span class="comment"><font color="firebrick">:: GRZLOG_1:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">A1</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="b3">R</font>, <font color="Olive" title="b4">R1</font> being   <a href="grzlog_1.html#NM3" title="GRZLOG_1:NM.3">GRZ-rule</a><br/>  for <font color="Olive" title="b5">t</font> being   <a href="grzlog_1.html#NM2" title="GRZLOG_1:NM.2">GRZ-formula</a>  st <font color="Olive" title="b1">A</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b2">A1</font> &amp; <font color="Olive" title="b3">R</font> <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a> <font color="Olive" title="b4">R1</font> &amp; <font color="Olive" title="b1">A</font>,<font color="Olive" title="b3">R</font> <a href="grzlog_1.html#R2" title="GRZLOG_1:pred.2">|-</a> <font color="Olive" title="b5">t</font> holds <br/><font color="Olive" title="b2">A1</font>,<font color="Olive" title="b4">R1</font> <a href="grzlog_1.html#R2" title="GRZLOG_1:pred.2">|-</a> <font color="Olive" title="b5">t</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="grzlog_1.html#T13" target="_self" onmouseover="rs('grzlog_1/T13')" onmouseout="rh()">Th44</a></span>;<br/></div></div>
