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<div>:: <span class="kw">deftheorem </span>   defines <a href="osalg_2.html#K4" title="OSALG_2:func.4">OSbool</a> <a onclick="hs(this)" href="javascript:()">OSALG_2:def 6 : <br/></a><span> for <font color="Olive" title="b1">R</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="orders_2.html#NM1" title="ORDERS_2:NM.1">Poset</a><br/>  for <font color="Olive" title="b2">M</font> being   <a href="osalg_1.html#NM4" title="OSALG_1:NM.4">OrderSortedSet</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive">b<sub>3</sub></font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="osalg_2.html#K4" title="OSALG_2:func.4">OSbool</a> <font color="Olive" title="b2">M</font> iff  for <font color="Olive" title="b4">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive" title="b4">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive">b<sub>3</sub></font> iff <font color="Olive" title="b4">x</font> is    <a href="osalg_2.html#M1" title="OSALG_2:mode.1">OrderSortedSubset</a> of <font color="Olive" title="b2">M</font> ) );<br/></span></div>
