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<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="59_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">n</font> be   <a href="nat_1.html#NM1">Nat</a>;<br/><b>assume </b><a NAME="E1:59_1_1_1"/>
<font color="Maroon">n</font> <a href="hidden.html#R2">in</a>  <a href="relset_1.html#K4">dom</a> <span class="p1">(<span class="default"><a href="prob_3.html#K9" target="_self">Complement</a> <font color="Maroon">F</font></span>)</span>
 ;<br/><a NAME="E2:59_1_1_1"/><b>then </b>
<span class="p1">(<span class="default"><a href="prob_3.html#K9" target="_self">Complement</a> <font color="Maroon">F</font></span>)</span> <a href="prob_3.html#K7" target="_self">.</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="prob_3.html#K11" target="_self">.</a> <font color="Maroon">n</font></span>)</span> <a href="subset_1.html#K3">`</a> 
 <b>by </b><i/>;<br/><a NAME="E3:59_1_1_1"/><b>then </b>
<span class="p1">(<span class="default"><a href="prob_3.html#K9" target="_self">Complement</a> <font color="Maroon">F</font></span>)</span> <a href="prob_3.html#K7" target="_self">.</a> <font color="Maroon">n</font> is    <a href="prob_1.html#M2">Event</a> of <font color="Maroon">S</font>
 <b>by </b><i><a class="ref" href="prob_1.html#T50">PROB_1:50</a></i>;<br/><b>hence </b><a NAME="E4:59_1_1_1"/>
<span class="p1">(<span class="default"><a href="prob_3.html#K9" target="_self">Complement</a> <font color="Maroon">F</font></span>)</span> <a href="prob_3.html#K7" target="_self">.</a> <font color="Maroon">n</font> <a href="hidden.html#R2">in</a> <font color="Maroon">S</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="E2:59_1_1"/>
 <a href="prob_3.html#K9" target="_self">Complement</a> <font color="Maroon">F</font> is    <a href="prob_3.html#M1" target="_self">FinSequence</a> of <font color="Maroon">S</font>
 <b>by </b><i><a class="txt" href="prob_3.html#E1"><i><font color="Green">Lemma47</font></i></a></i>;<br/>


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