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refactor(library/data/set/filter): add missing [instance] attribute

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Leonardo de Moura 2015-10-16 12:36:07 -07:00
parent 08c061e1fa
commit f14d0523ec
1 changed files with 5 additions and 7 deletions
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12
library/data/set/filter.lean
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@ -278,7 +278,8 @@ Sup_refines H
theorem refines_Inf {F : filter A} {S : set (filter A)} (FS : F ∈ S) : F ≽ ⨅ S :=
refines_Sup (λ G GS, GS F FS)
protected definition complete_lattice_Inf [reducible] : algebra.complete_lattice_Inf (filter A) :=
open algebra
protected definition complete_lattice_Inf [reducible] [instance] : complete_lattice_Inf (filter A) :=
⦃ algebra.complete_lattice_Inf,
le := weakens,
le_refl := weakens.refl,
@ -297,12 +298,9 @@ protected definition complete_lattice_Inf [reducible] : algebra.complete_lattice
le_Inf := @Inf_refines A
⦄
protected definition complete_lattice [reducible] : algebra.complete_lattice (filter A) :=
@algebra.complete_lattice_Inf_to_complete_lattice _ (@filter.complete_lattice_Inf A)
-- TODO: migrate theorems from weak order, lattice
-- TODO: continue porting
-- The previous instance is enough for showing that (filter A) is a complete_lattice
example {A : Type} : complete_lattice (filter A) :=
_
end filter
end set