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<div><span class="kw">theorem </span><a NAME="T48"><span class="comment"><font color="firebrick">:: SETFAM_1:48</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">TS</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">A</font>, <font color="Olive" title="b3">B</font> being   <a href="setfam_1.html#V3" title="SETFAM_1:attr.3">with_proper_subsets</a>  <a href="setfam_1.html#NM1" title="SETFAM_1:NM.1">Subset-Family</a> of <font color="Olive" title="b1">TS</font> holds  <font color="Olive" title="b2">A</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Olive" title="b3">B</font> is  <a href="setfam_1.html#V3" title="SETFAM_1:attr.3">with_proper_subsets</a> </div></div>
