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<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="90_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><a NAME="E1:90_1_1_1"/>
<font color="Maroon">S</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">n</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Si</font>
 <b>by </b><i><a class="ref" href="prob_1.html#D9">PROB_1:def 9</a></i>;<br/><a NAME="E2:90_1_1_1"/><b>then </b><i><font color="Green">E28</font></i>: 
<font color="Maroon">S</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">n</font> is    <a href="prob_1.html#M2">Event</a> of <font color="Maroon">Si</font>
 <b>by </b><i><a class="ref" href="prob_1.html#D10">PROB_1:def 10</a></i>;<br/><a NAME="E3:90_1_1_1"/>
<span class="p1">(<span class="default"><a href="prob_1.html#K3">Complement</a> <font color="Maroon">S</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">S</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">n</font></span>)</span> <a href="subset_1.html#K3">`</a> 
 <b>by </b><i><a class="ref" href="prob_1.html#D4">PROB_1:def 4</a></i>;<br/><a NAME="E4:90_1_1_1"/><b>then </b>
<span class="p1">(<span class="default"><a href="prob_1.html#K3">Complement</a> <font color="Maroon">S</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">n</font> is    <a href="prob_1.html#M2">Event</a> of <font color="Maroon">Si</font>
 <b>by </b><i><a class="txt" href="setlim_1.html#E19"><i><font color="Green">Lemma63</font></i></a>, <a class="ref" href="prob_1.html#T50">PROB_1:50</a></i>;<br/><b>hence </b><a NAME="E5:90_1_1_1"/>
<span class="p1">(<span class="default"><a href="prob_1.html#K3">Complement</a> <font color="Maroon">S</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">n</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Si</font>
 <b>by </b><i><a class="ref" href="prob_1.html#D10">PROB_1:def 10</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:90_1_1"/>
 <a href="prob_1.html#K3">Complement</a> <font color="Maroon">S</font> is    <a href="prob_1.html#M1">SetSequence</a> of <font color="Maroon">Si</font>
 <b>by </b><i><a class="ref" href="prob_1.html#D9">PROB_1:def 9</a></i>;<br/>


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