<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E8">Def3</font></span>   defines <a href="scmfsa_m.html#K2" title="SCMFSA_M:func.2">FirstNotIn</a> <a onclick="hs(this)" href="javascript:()">SCMFSA_M:def 3 : <br/></a><span> for <font color="Olive" title="b1">L</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a><br/>  for <font color="Olive">b<sub>2</sub></font> being   <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a> holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_m.html#K2" title="SCMFSA_M:func.2">FirstNotIn</a> <font color="Olive" title="b1">L</font> iff  ex <font color="Olive" title="b3">sn</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> st <br/>( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> <span class="p1">(<span class="default"><a href="seq_4.html#K4" title="SEQ_4:func.4">min</a> <font color="Olive" title="b3">sn</font></span>)</span> &amp; <font color="Olive" title="b3">sn</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b4">k</font> where <font color="Olive" title="b4">k</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  :  not  <a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> <font color="Olive" title="b4">k</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">L</font> </span> } </span>  ) );<br/></span></div>
