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<div><span class="kw">theorem </span><a NAME="T47"><span class="comment"><font color="firebrick">:: PARTFUN1:47</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">f</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="partfun1.html#K4" title="PARTFUN1:func.4">PFuncs</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>) holds  <font color="Olive" title="b3">f</font> is   <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> <span class="kw">by</span> <span class="lab"><a class="ref" href="partfun1.html#T46" target="_self" onmouseover="rs('partfun1/T46')" onmouseout="rh()">Th46</a></span>;<br/></div></div>
