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<div>:: <span class="kw">deftheorem </span>   defines <a href="nomin_9.html#R2" title="NOMIN_9:pred.2">valid_Lucas_output_pred</a> <a onclick="hs(this)" href="javascript:()">NOMIN_9:def 12 : <br/></a><span> for <font color="Olive" title="b1">V</font>, <font color="Olive" title="b2">A</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">z</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive" title="b4">x0</font>, <font color="Olive" title="b5">y0</font>, <font color="Olive" title="b6">p0</font>, <font color="Olive" title="b7">q0</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a><br/>  for <font color="Olive" title="b8">n0</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b9">d</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>  holds <br/> (  <a href="nomin_9.html#R2" title="NOMIN_9:pred.2">valid_Lucas_output_pred</a> <font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">z</font>,<font color="Olive" title="b4">x0</font>,<font color="Olive" title="b5">y0</font>,<font color="Olive" title="b6">p0</font>,<font color="Olive" title="b7">q0</font>,<font color="Olive" title="b8">n0</font>,<font color="Olive" title="b9">d</font> iff <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><span class="p2">(<span class="default"><a href="nomin_9.html#K7" title="NOMIN_9:func.7">Lucas</a> (<font color="Olive" title="b4">x0</font>,<font color="Olive" title="b5">y0</font>,<font color="Olive" title="b6">p0</font>,<font color="Olive" title="b7">q0</font>,<font color="Olive" title="b8">n0</font>)</span>)</span></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> <a href="nomin_8.html#R3" title="NOMIN_8:pred.3">is_valid_output</a> <font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>,<span class="p1"><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">&lt;*</a><span class="default"><font color="Olive" title="b3">z</font></span><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">*&gt;</a></span>,<font color="Olive" title="b9">d</font> );<br/></span></div>
