Nuprl Definition : flattice-equiv

flattice-equiv(X;x;y) ==
  ↓∃as,bs:(X + X) List List
    ((x = as ∈ Point(free-dl(X + X)))
    ∧ (y = bs ∈ Point(free-dl(X + X)))
    ∧ flattice-order(X;as;bs)
    ∧ flattice-order(X;bs;as))



Definitions occuring in Statement :  flattice-order: flattice-order(X;as;bs),  free-dl: free-dl(X),  lattice-point: Point(l),  list: T List,  exists: ∃x:A. B[x],  squash: ↓T,  and: P ∧ Q,  union: left + right,  equal: s = t ∈ T
Definitions occuring in definition :  squash: ↓T,  exists: ∃x:A. B[x],  list: T List,  equal: s = t ∈ T,  lattice-point: Point(l),  free-dl: free-dl(X),  union: left + right,  and: P ∧ Q,  flattice-order: flattice-order(X;as;bs)
FDL editor aliases :  flattice-equiv

Latex:
flattice-equiv(X;x;y)  ==
    \mdownarrow{}\mexists{}as,bs:(X  +  X)  List  List
        ((x  =  as)  \mwedge{}  (y  =  bs)  \mwedge{}  flattice-order(X;as;bs)  \mwedge{}  flattice-order(X;bs;as))



Date html generated: 2020_05_20-AM-08_59_37
Last ObjectModification: 2017_01_24-AM-10_54_17

Theory : lattices


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