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<span class="kw">let </span><font color="Maroon" title="c1">p</font> be   <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>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not  <a href="sf_mastr.html#K8" title="SF_MASTR:func.8">First*NotUsed</a> <font color="Maroon" title="c1">p</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="sf_mastr.html#K6" title="SF_MASTR:func.6">UsedI*Loc</a> <font color="Maroon" title="c1">p</font></span><br/>

<a NAME="E1:71"/>
 ex <font color="Olive" title="b1">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#K3" title="SCMFSA_2:func.3">FinSeq-Locations</a> st <br/>( <font color="Olive" title="b1">sil</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="sf_mastr.html#K6" title="SF_MASTR:func.6">UsedI*Loc</a> <font color="Maroon" title="c1">p</font> &amp;  <a href="sf_mastr.html#K8" title="SF_MASTR:func.8">First*NotUsed</a> <font color="Maroon" title="c1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmfsa_m.html#K3" title="SCMFSA_M:func.3">First*NotIn</a> <font color="Olive" title="b1">sil</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="sf_mastr.html#D9" target="_self" onmouseover="rs('sf_mastr/D9')" onmouseout="rh()">Def8</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:71"/>
 not  <a href="sf_mastr.html#K8" title="SF_MASTR:func.8">First*NotUsed</a> <font color="Maroon" title="c1">p</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="sf_mastr.html#K6" title="SF_MASTR:func.6">UsedI*Loc</a> <font color="Maroon" title="c1">p</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_m.html#T16" onmouseover="rs('scmfsa_m/T16')" onmouseout="rh()">SCMFSA_M:16</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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