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<div><span class="kw">theorem </span><a NAME="T49"><span class="comment"><font color="firebrick">:: FUNCT_8:49</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font>, <font color="Olive" title="b2">G</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="b1">F</font> is  <a href="funct_8.html#V6" title="FUNCT_8:attr.6">odd</a>  &amp; <font color="Olive" title="b2">G</font> is  <a href="funct_8.html#V6" title="FUNCT_8:attr.6">odd</a>  &amp; <span class="p1">(<span class="default"><a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive" title="b1">F</font></span>)</span> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <span class="p1">(<span class="default"><a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive" title="b2">G</font></span>)</span> is  <a href="funct_8.html#V1" title="FUNCT_8:attr.1">symmetrical</a>  holds <br/><font color="Olive" title="b1">F</font> <a href="valued_1.html#K20" title="VALUED_1:func.20">(#)</a> <font color="Olive" title="b2">G</font> is  <a href="funct_8.html#V4" title="FUNCT_8:attr.4">even</a> </div></div>
