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<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: FUNCT_8:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">r</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a><br/>  for <font color="Olive" title="b2">A</font> being   <a href="funct_8.html#V1" title="FUNCT_8:attr.1">symmetrical</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="numbers.html#K2" title="NUMBERS:func.2">COMPLEX</a><br/>  for <font color="Olive" title="b3">F</font> being   <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  st <font color="Olive" title="b3">F</font> <a href="funct_8.html#R1" title="FUNCT_8:pred.1">is_even_on</a> <font color="Olive" title="b2">A</font> holds <br/><font color="Olive" title="b1">r</font> <a href="valued_1.html#K26" title="VALUED_1:func.26">(#)</a> <font color="Olive" title="b3">F</font> <a href="funct_8.html#R1" title="FUNCT_8:pred.1">is_even_on</a> <font color="Olive" title="b2">A</font></div></div>
