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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E8">Th10</font></span>: <a NAME="T10"><span class="comment"><font color="firebrick">:: DIST_2:10</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S</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">D</font> being   <a href="dist_2.html#NM2" title="DIST_2:NM.2">EqSampleSpaces</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b3">a</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b4">s</font> being    <a href="dist_2.html#M1" title="DIST_2:mode.1">Element</a> of <font color="Olive" title="b2">D</font><br/>  for <font color="Olive" title="b5">judgefunc</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Olive" title="b1">S</font>,<a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a>  st (  for <font color="Olive" title="b6">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive" title="b6">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">a</font> iff <font color="Olive" title="b5">judgefunc</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b6">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K7" title="MARGREL1:func.7">TRUE</a>  ) ) holds <br/> <a href="dist_2.html#K4" title="DIST_2:func.4">Prob</a> (<font color="Olive" title="b5">judgefunc</font>,<font color="Olive" title="b4">s</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="dist_1.html#K3" title="DIST_1:func.3">FDprobability</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">s</font>)</div></div>
