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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Th25</font></span>: <a NAME="T25"><span class="comment"><font color="firebrick">:: PROB_2:25</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">A</font>, <font color="Olive" title="b4">B</font> being    <a href="prob_1.html#M1" title="PROB_1:mode.1">Event</a> of <font color="Olive" title="b2">Sigma</font><br/>  for <font color="Olive" title="b5">P</font> being    <a href="prob_1.html#M2" title="PROB_1:mode.2">Probability</a> of <font color="Olive" title="b2">Sigma</font>  st <font color="Olive" title="b3">A</font>,<font color="Olive" title="b4">B</font> <a href="prob_2.html#R1" title="PROB_2:pred.1">are_independent_respect_to</a> <font color="Olive" title="b5">P</font> holds <br/><font color="Olive" title="b3">A</font>,<span class="p1">(<span class="default"><a href="prob_1.html#K4" title="PROB_1:func.4">[#]</a> <font color="Olive" title="b2">Sigma</font></span>)</span> <a href="prob_1.html#K7" title="PROB_1:func.7">\</a> <font color="Olive" title="b4">B</font> <a href="prob_2.html#R1" title="PROB_2:pred.1">are_independent_respect_to</a> <font color="Olive" title="b5">P</font></div></div>
