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<div>:: <span class="kw">deftheorem </span>   defines <a href="nomin_9.html#K14" title="NOMIN_9:func.14">valid_Lucas_output</a> <a onclick="hs(this)" href="javascript:()">NOMIN_9:def 13 : <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> holds   <a href="nomin_9.html#K14" title="NOMIN_9:func.14">valid_Lucas_output</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>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="nomin_8.html#K10" title="NOMIN_8:func.10">valid_output</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">z</font>,<span class="p1">(<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>);<br/></span></div>
