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<div><span class="kw">theorem </span><a NAME="T32"><span class="comment"><font color="firebrick">:: PARTFUN2:32</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">C</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="b2">SC</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b1">C</font> holds <br/> (  <a href="partfun2.html#K1" title="PARTFUN2:func.1">id</a> <font color="Olive" title="b2">SC</font> is  <a href="partfun1.html#V1" title="PARTFUN1:attr.1">total</a>  iff <font color="Olive" title="b2">SC</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">C</font> )</div></div>
