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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E2">Th1</font></span>: <a NAME="T1"><span class="comment"><font color="firebrick">:: PCS_0:1</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R1</font>, <font color="Olive" title="b2">S1</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">R</font> being   <a href="relat_2.html#V8" title="RELAT_2:attr.8">transitive</a>  <a href="relset_1.html#NM2" title="RELSET_1:NM.2">Relation</a> of <font color="Olive" title="b1">R1</font><br/>  for <font color="Olive" title="b4">S</font> being   <a href="relat_2.html#V8" title="RELAT_2:attr.8">transitive</a>  <a href="relset_1.html#NM2" title="RELSET_1:NM.2">Relation</a> of <font color="Olive" title="b2">S1</font>  st <font color="Olive" title="b1">R1</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a> <font color="Olive" title="b2">S1</font> holds <br/><font color="Olive" title="b3">R</font> <a href="pcs_0.html#K2" title="PCS_0:func.2">\/</a> <font color="Olive" title="b4">S</font> is  <a href="relat_2.html#V8" title="RELAT_2:attr.8">transitive</a> </div></div>
