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<div><span class="kw">theorem </span><a NAME="T34"><span class="comment"><font color="firebrick">:: PARTFUN2:34</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">C</font>, <font color="Olive" title="b2">D</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">SC</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b1">C</font><br/>  for <font color="Olive" title="b4">d</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b2">D</font> holds <br/> ( <font color="Olive" title="b3">SC</font> <a href="partfun2.html#K4" title="PARTFUN2:func.4">--&gt;</a> <font color="Olive" title="b4">d</font> is  <a href="partfun1.html#V1" title="PARTFUN1:attr.1">total</a>  iff <font color="Olive" title="b3">SC</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">C</font> )</div></div>
