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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E25">Th37</font></span>: <a NAME="T37"><span class="comment"><font color="firebrick">:: PROB_3:37</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">Omega</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">Sigma</font> being   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Olive" title="b1">Omega</font><br/>  for <font color="Olive" title="b3">ASeq</font> being   <a href="prob_1.html#NM4" title="PROB_1:NM.4">SetSequence</a> of <font color="Olive" title="b2">Sigma</font><br/>  for <font color="Olive" title="b4">P</font> being    <a href="prob_1.html#M2" title="PROB_1:mode.2">Probability</a> of <font color="Olive" title="b2">Sigma</font> holds  <font color="Olive" title="b4">P</font> <a href="prob_1.html#K8" title="PROB_1:func.8">*</a> <span class="p1">(<span class="default"><a href="prob_3.html#K2" title="PROB_3:func.2">Partial_Union</a> <font color="Olive" title="b3">ASeq</font></span>)</span> is  <a href="valued_0.html#V7" title="VALUED_0:attr.7">non-decreasing</a> </div></div>
