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<b>let </b><font color="Maroon">X</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">A1</font> be   <a href="prob_1.html#NM2">SetSequence</a> of <font color="Maroon">X</font>;<br/>



<b>reconsider </b><font color="Maroon">A2</font> =  <a href="setlim_1.html#K1" target="_self">inferior_setsequence</a> <font color="Maroon">A1</font> as   <a href="prob_1.html#NM2">SetSequence</a> of <font color="Maroon">X</font> ;<br/>
<b>reconsider </b><font color="Maroon">A3</font> =  <a href="setlim_1.html#K2" target="_self">superior_setsequence</a> <span class="p1">(<span class="default"><a href="prob_1.html#K3">Complement</a> <font color="Maroon">A1</font></span>)</span> as   <a href="prob_1.html#NM2">SetSequence</a> of <font color="Maroon">X</font> ;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="43_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="E1:43_1"/>
<span class="p1">(<span class="default"><font color="Maroon">A2</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">n</font></span>)</span> <a href="subset_1.html#K3">`</a>  <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">A3</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">n</font></span>)</span> <a href="subset_1.html#K3">`</a> </span>)</span> <a href="subset_1.html#K3">`</a> 
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E2:43_1"/>
<span class="p1">(<span class="default"><a href="prob_1.html#K3">Complement</a> <font color="Maroon">A2</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">A3</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">n</font>
 <b>by </b><i><a class="ref" href="prob_1.html#D4">PROB_1:def 4</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:43"/>
 <a href="prob_1.html#K3">Complement</a> <span class="p1">(<span class="default"><a href="setlim_1.html#K1" target="_self">inferior_setsequence</a> <font color="Maroon">A1</font></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="setlim_1.html#K2" target="_self">superior_setsequence</a> <span class="p1">(<span class="default"><a href="prob_1.html#K3">Complement</a> <font color="Maroon">A1</font></span>)</span>
 <b>by </b><i><a class="ref" href="funct_2.html#T113">FUNCT_2:113</a></i>;<br/>


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