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<div><span class="kw">theorem </span><a NAME="T46"><span class="comment"><font color="firebrick">:: VALUED_2:46</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">Y</font> being   <a href="valued_2.html#V1" title="VALUED_2:attr.1">complex-functions-membered</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">c1</font>, <font color="Olive" title="b4">c2</font> being   <a href="xcmplx_0.html#NM1" title="XCMPLX_0:NM.1">Complex</a><br/>  for <font color="Olive" title="b5">f</font> being   <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of <font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>  st <font color="Olive" title="b5">f</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Olive" title="b5">f</font> is  <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-empty</a>  &amp; <font color="Olive" title="b5">f</font> <a href="valued_2.html#K31" title="VALUED_2:func.31">[+]</a> <font color="Olive" title="b3">c1</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <font color="Olive" title="b5">f</font> <a href="valued_2.html#K31" title="VALUED_2:func.31">[+]</a> <font color="Olive" title="b4">c2</font> holds <br/><font color="Olive" title="b3">c1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">c2</font></div></div>
