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<div>:: <span class="kw">deftheorem </span>   defines <a href="rpr_1.html#R1" title="RPR_1:pred.1">are_independent</a> <a onclick="hs(this)" href="javascript:()">RPR_1:def 3 : <br/></a><span> for <font color="Olive" title="b1">E</font> being   <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">A</font>, <font color="Olive" title="b3">B</font> being   <a href="rpr_1.html#NM1" title="RPR_1:NM.1">Event</a> of <font color="Olive" title="b1">E</font> holds <br/> ( <font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">B</font> <a href="rpr_1.html#R1" title="RPR_1:pred.1">are_independent</a>  iff  <a href="rpr_1.html#K1" title="RPR_1:func.1">prob</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">A</font> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <font color="Olive" title="b3">B</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="rpr_1.html#K1" title="RPR_1:func.1">prob</a> <font color="Olive" title="b2">A</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><a href="rpr_1.html#K1" title="RPR_1:func.1">prob</a> <font color="Olive" title="b3">B</font></span>)</span> );<br/></span></div>
