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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E47">Def7</font></span>   defines <a href="sf_mastr.html#K7" title="SF_MASTR:func.7">FirstNotUsed</a> <a onclick="hs(this)" href="javascript:()">SF_MASTR:def 7 : <br/></a><span> for <font color="Olive" title="b1">p</font> being   <a href="compos_1.html#NM3" title="COMPOS_1:NM.3">preProgram</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</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="sf_mastr.html#K7" title="SF_MASTR:func.7">FirstNotUsed</a> <font color="Olive" title="b1">p</font> iff  ex <font color="Olive" title="b3">sil</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> st <br/>( <font color="Olive" title="b3">sil</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="sf_mastr.html#K3" title="SF_MASTR:func.3">UsedILoc</a> <font color="Olive" title="b1">p</font></span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1"><a href="scmfsa_m.html#K4" title="SCMFSA_M:func.4">{</a><span class="default"><span class="p2">(<span class="default"><a href="scmfsa_2.html#K4" title="SCMFSA_2:func.4">intloc</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span>)</span></span><a href="scmfsa_m.html#K4" title="SCMFSA_M:func.4">}</a></span> &amp; <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="b3">sil</font> ) );<br/></span></div>
