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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E20">Th40</font></span>: <a NAME="T40"><span class="comment"><font color="firebrick">:: PARTFUN1:40</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="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>  st <span class="p1"><a href="partfun1.html#K3" title="PARTFUN1:func.3">&lt;:</a><span class="default"><font color="Olive" title="b3">f</font>,<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font></span><a href="partfun1.html#K3" title="PARTFUN1:func.3">:&gt;</a></span> is  <a href="partfun1.html#V1" title="PARTFUN1:attr.1">total</a>  holds <br/><font color="Olive" title="b1">X</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Olive" title="b3">f</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="partfun1.html#T23" target="_self" onmouseover="rs('partfun1/T23')" onmouseout="rh()">Th23</a></span>;<br/></div></div>
