Nuprl Definition : sub-powerset-lattice

sub-powerset-lattice(T;eq;whole;P) ==  {points={s:fset(T)| 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: 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: 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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