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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E23">Th25</font></span>: <a NAME="T25"><span class="comment"><font color="firebrick">:: PARTIT1:25</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">PA</font>, <font color="Olive" title="b3">PB</font> being    <a href="eqrel_1.html#M1" title="EQREL_1:mode.1">a_partition</a> of <font color="Olive" title="b1">Y</font>  st  <a href="partit1.html#K4" title="PARTIT1:func.4">ERl</a> <font color="Olive" title="b2">PA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="partit1.html#K4" title="PARTIT1:func.4">ERl</a> <font color="Olive" title="b3">PB</font> holds <br/><font color="Olive" title="b2">PA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">PB</font></div></div>
