<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E36">Th30</font></span>: <a NAME="T30"><span class="comment"><font color="firebrick">:: RANDOM_1:30</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="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">P</font> being    <a href="prob_1.html#M2" title="PROB_1:mode.2">Probability</a> of  <a href="random_1.html#K1" title="RANDOM_1:func.1">Trivial-SigmaField</a> <font color="Olive" title="b1">Omega</font><br/>  for <font color="Olive" title="b3">X</font> being   <a href="random_1.html#NM1" title="RANDOM_1:NM.1">Real-Valued-Random-Variable</a> of <span class="p1">(<span class="default"><a href="random_1.html#K1" title="RANDOM_1:func.1">Trivial-SigmaField</a> <font color="Olive" title="b1">Omega</font></span>)</span> holds  <font color="Olive" title="b3">X</font> <a href="random_1.html#R1" title="RANDOM_1:pred.1">is_integrable_on</a> <font color="Olive" title="b2">P</font></div></div>
