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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E8">Def555</font></span>   defines <a href="finance5.html#M1" title="FINANCE5:mode.1">TheEvent</a> <a onclick="hs(this)" href="javascript:()">FINANCE5:def 4 : <br/></a><span> for <font color="Olive" title="b1">r</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a><br/>  for <font color="Olive">b<sub>2</sub></font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> holds <br/> ( ( <font color="Olive" title="b1">r</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  implies ( <font color="Olive">b<sub>2</sub></font> is    <a href="finance5.html#M1" title="FINANCE5:mode.1">TheEvent</a> of <font color="Olive" title="b1">r</font> iff <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="rcomp_1.html#K3" title="RCOMP_1:func.3">[.</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="xxreal_0.html#K1" title="XXREAL_0:func.1">+infty</a></span><a href="rcomp_1.html#K3" title="RCOMP_1:func.3">.[</a></span> ) ) &amp; (  not <font color="Olive" title="b1">r</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  implies ( <font color="Olive">b<sub>2</sub></font> is    <a href="finance5.html#M1" title="FINANCE5:mode.1">TheEvent</a> of <font color="Olive" title="b1">r</font> iff <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">[.</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<font color="Olive" title="b1">r</font></span><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">.]</a></span> ) ) );<br/></span></div>
