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<div>:: <span class="kw">deftheorem </span>   defines <a href="nomin_4.html#R2" title="NOMIN_4:pred.2">is_ext_real_on</a> <a onclick="hs(this)" href="javascript:()">NOMIN_4:def 4 : <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">d</font> being    <a href="nomin_1.html#M2" title="NOMIN_1:mode.2">TypeSCNominativeData</a> of <font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font><br/>  for <font color="Olive" title="b4">a</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">V</font> holds <br/> ( <font color="Olive" title="b4">a</font> <a href="nomin_4.html#R2" title="NOMIN_4:pred.2">is_ext_real_on</a> <font color="Olive" title="b3">d</font> iff <span class="p1">(<span class="default"><a href="nomin_1.html#K18" title="NOMIN_1:func.18">denaming</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>,<font color="Olive" title="b4">a</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">d</font> is  <a href="xxreal_0.html#V1" title="XXREAL_0:attr.1">ext-real</a>  );<br/></span></div>
