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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E34">Def5</font></span>   defines <a href="prob_3.html#K6" title="PROB_3:func.6">Complement</a> <a onclick="hs(this)" href="javascript:()">PROB_3:def 5 : <br/></a><span> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">F1</font>, <font color="Olive">b<sub>3</sub></font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="setfam_1.html#K9" title="SETFAM_1:func.9">bool</a> <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="prob_3.html#K6" title="PROB_3:func.6">Complement</a> <font color="Olive" title="b2">F1</font> iff (  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b2">F1</font> &amp; (  for <font color="Olive" title="b4">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b4">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive">b<sub>3</sub></font> holds <br/><font color="Olive">b<sub>3</sub></font> <a href="prob_3.html#K4" title="PROB_3:func.4">.</a> <font color="Olive" title="b4">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">F1</font> <a href="prob_3.html#K4" title="PROB_3:func.4">.</a> <font color="Olive" title="b4">n</font></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  ) ) );<br/></span></div>
