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<div>:: <span class="kw">deftheorem </span>   defines <a href="waybel34.html#V4" title="WAYBEL34:attr.4">finite-sups-preserving</a> <a onclick="hs(this)" href="javascript:()">WAYBEL34:def 15 : <br/></a><span> for <font color="Olive" title="b1">S</font>, <font color="Olive" title="b2">T</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b3">f</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">S</font>,<font color="Olive" title="b2">T</font> holds <br/> ( <font color="Olive" title="b3">f</font> is  <a href="waybel34.html#V4" title="WAYBEL34:attr.4">finite-sups-preserving</a>  iff  for <font color="Olive" title="b4">X</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">S</font> holds  <font color="Olive" title="b3">f</font> <a href="waybel_0.html#R4" title="WAYBEL_0:pred.4">preserves_sup_of</a> <font color="Olive" title="b4">X</font> );<br/></span></div>
