agda-spa/Lattice/MapSet.agda

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open import Lattice
open import Relation.Binary.PropositionalEquality as Eq using (_≡_; refl; sym; trans; cong; subst)
open import Relation.Binary.Definitions using (Decidable)
open import Agda.Primitive using (Level) renaming (_⊔_ to _⊔_)
module Lattice.MapSet {a : Level} (A : Set a) (≡-dec-A : Decidable (_≡_ {a} {A})) where
open import Lattice.Unit using () renaming (_≈_ to _≈₂_; _⊔_ to _⊔₂_; _⊓_ to _⊓₂_; isLattice to -isLattice)
import Lattice.Map
private module UnitMap = Lattice.Map A _≈₂_ _⊔₂_ _⊓₂_ ≡-dec-A -isLattice
open UnitMap using (Map)
open UnitMap using
( _⊆_; _≈_; ≈-equiv; _⊔_; _⊓_
; isUnionSemilattice; isIntersectSemilattice; isLattice; lattice
) public
MapSet : Set a
MapSet = Map