Nuprl Definition : sub-powerset-lattice
sub-powerset-lattice(T;eq;whole;P) ==  {points={s:fset(T)| P s} meet=λa,b. a ⋂ b;join=λa,b. a ⋃ b;0={};1=whole}
Definitions occuring in Statement : 
mk-bounded-distributive-lattice: mk-bounded-distributive-lattice, 
empty-fset: {}
, 
fset-intersection: a ⋂ b
, 
fset-union: x ⋃ y
, 
fset: fset(T)
, 
set: {x:A| B[x]} 
, 
apply: f a
, 
lambda: λx.A[x]
Definitions occuring in definition : 
mk-bounded-distributive-lattice: mk-bounded-distributive-lattice, 
set: {x:A| B[x]} 
, 
fset: fset(T)
, 
apply: f a
, 
fset-intersection: a ⋂ b
, 
lambda: λx.A[x]
, 
fset-union: x ⋃ y
, 
empty-fset: {}
FDL editor aliases : 
sub-powerset-lattice
Latex:
sub-powerset-lattice(T;eq;whole;P)  ==    \{points=\{s:fset(T)|  P  s\}  ;meet=\mlambda{}a,b.  a  \mcap{}  b;join=\mlambda{}a,b.  a  \mcup{}  b;0\000C=\{\};1=whole\}
Date html generated:
2020_05_20-AM-08_47_34
Last ObjectModification:
2015_10_06-PM-01_44_04
Theory : lattices
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