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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E38">Def9</font></span>   defines <a href="knaster.html#K8" title="KNASTER:func.8">FixPoints</a> <a onclick="hs(this)" href="javascript:()">KNASTER:def 9 : <br/></a><span> for <font color="Olive" title="b1">L</font> being   <a href="lattice3.html#V4" title="LATTICE3:attr.4">complete</a>  <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a><br/>  for <font color="Olive" title="b2">f</font> being   <a href="struct_0.html#NM14" title="STRUCT_0:NM.14">UnOp</a> of <font color="Olive" title="b1">L</font>  st <font color="Olive" title="b2">f</font> is  <a href="quantal1.html#V14" title="QUANTAL1:attr.14">monotone</a>  holds <br/> for <font color="Olive">b<sub>3</sub></font> being   <a href="lattices.html#V3" title="LATTICES:attr.3">strict</a>  <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="knaster.html#K8" title="KNASTER:func.8">FixPoints</a> <font color="Olive" title="b2">f</font> iff  ex <font color="Olive" title="b4">P</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="knaster.html#V2" title="KNASTER:attr.2">with_suprema</a>   <a href="knaster.html#V3" title="KNASTER:attr.3">with_infima</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">L</font> st <br/>( <font color="Olive" title="b4">P</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b5">x</font> where <font color="Olive" title="b5">x</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L</font> : <font color="Olive" title="b5">x</font> <a href="abian.html#R2" title="ABIAN:pred.2">is_a_fixpoint_of</a> <font color="Olive" title="b2">f</font> </span> } </span>  &amp; <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="knaster.html#K7" title="KNASTER:func.7">latt</a> <font color="Olive" title="b4">P</font> ) );<br/></span></div>
