<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E40">Def14</font></span>   defines <a href="dist_2.html#K11" title="DIST_2:func.11">ConditionalSS</a> <a onclick="hs(this)" href="javascript:()">DIST_2:def 14 : <br/></a><span> 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">X</font> being    <a href="dist_2.html#M4" title="DIST_2:mode.4">samplingRNG</a> of <font color="Olive" title="b2">D</font><br/>  for <font color="Olive">b<sub>4</sub></font> being   <a href="dist_2.html#NM2" title="DIST_2:NM.2">EqSampleSpaces</a> of <font color="Olive" title="b1">S</font> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="dist_2.html#K11" title="DIST_2:func.11">ConditionalSS</a> <font color="Olive" title="b3">X</font> iff  ex <font color="Olive" title="b5">s</font> being    <a href="dist_2.html#M1" title="DIST_2:mode.1">Element</a> of <font color="Olive" title="b2">D</font> ex <font color="Olive" title="b6">t</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Olive" title="b1">S</font> ex <font color="Olive" title="b7">SD</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b5">s</font></span>)</span> st <br/>( <font color="Olive" title="b7">SD</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">s</font> <a href="relset_1.html#K8" title="RELSET_1:func.8">"</a> <font color="Olive" title="b3">X</font> &amp; <font color="Olive" title="b6">t</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="dist_2.html#K5" title="DIST_2:func.5">extract</a> (<font color="Olive" title="b5">s</font>,<font color="Olive" title="b7">SD</font>) &amp; <font color="Olive" title="b6">t</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive">b<sub>4</sub></font> ) );<br/></span></div>
