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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E2">Th2</font></span>: <a NAME="T2"><span class="comment"><font color="firebrick">:: PARTIT_2:2</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">Y</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">R</font>, <font color="Olive" title="b3">S</font> being   <a href="eqrel_1.html#NM2" title="EQREL_1:NM.2">Equivalence_Relation</a> of <font color="Olive" title="b1">Y</font> holds  <font color="Olive" title="b2">R</font> <a href="eqrel_1.html#K3" title="EQREL_1:func.3">\/</a> <font color="Olive" title="b3">S</font> <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a> <font color="Olive" title="b2">R</font> <a href="relset_1.html#K4" title="RELSET_1:func.4">*</a> <font color="Olive" title="b3">S</font></div></div>
