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<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/><b>let </b><font color="Maroon">k</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>



<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[  <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">n</font>,<font color="Maroon">k</font>] <b>means </b>( <font color="Maroon">a<sub>1</sub></font> is <a href="funct_2.html#V2">onto</a> &amp; <font color="Maroon">a<sub>1</sub></font> is <a href="stirl2_1.html#V1" target="_self">"increasing</a> );<br/>
<a NAME="E1:30"/>
<span class="p1">{<span class="default"> <font color="Olive">f</font> where <font color="Olive">f</font> is   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">n</font>,<font color="Maroon">k</font> : <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">f</font>] </span>}</span>  is <a href="finset_1.html#V1">finite</a>
 
<b>from </b><i><a class="ref" href="stirl2_1.html#S1" target="_self">STIRL2_1:sch 1</a>();<br/></i>
<b>hence </b><a NAME="E2:30"/>
<span class="p1">{<span class="default"> <font color="Olive">f</font> where <font color="Olive">f</font> is   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">n</font>,<font color="Maroon">k</font> : ( <font color="Olive">f</font> is <a href="funct_2.html#V2">onto</a> &amp; <font color="Olive">f</font> is <a href="stirl2_1.html#V1" target="_self">"increasing</a> ) </span>}</span>  is <a href="finset_1.html#V1">finite</a>
 ;<br/>


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