{-# OPTIONS --cubical-compatible --safe #-}
module Algebra.Lattice.Bundles.Raw where
open import Algebra.Core
open import Algebra.Bundles.Raw using (RawMagma)
open import Level using (suc; _⊔_)
open import Relation.Binary.Core using (Rel)
record RawLattice c ℓ : Set (suc (c ⊔ ℓ)) where
infixr 7 _∧_
infixr 6 _∨_
infix 4 _≈_
field
Carrier : Set c
_≈_ : Rel Carrier ℓ
_∧_ : Op₂ Carrier
_∨_ : Op₂ Carrier
∨-rawMagma : RawMagma c ℓ
∨-rawMagma = record { _≈_ = _≈_; _∙_ = _∨_ }
∧-rawMagma : RawMagma c ℓ
∧-rawMagma = record { _≈_ = _≈_; _∙_ = _∧_ }
open RawMagma ∨-rawMagma public
using (_≉_)