------------------------------------------------------------------------
-- The Agda standard library
--
-- Metavariables used in the reflection machinery
------------------------------------------------------------------------
 
{-# OPTIONS --cubical-compatible --safe #-}
 
module Reflection.AST.Meta where
 
import Data.Nat.Properties as ℕ using (_≟_)
open import Function.Base using (_on_)
open import Relation.Nullary.Decidable.Core using (map′)
open import Relation.Binary.Core using (Rel)
open import Relation.Binary.Definitions using (Decidable; DecidableEquality)
import Relation.Binary.Construct.On as On using (decidable)
open import Relation.Binary.PropositionalEquality.Core using (_≡_; cong)
 
open import Agda.Builtin.Reflection public
  using (Meta) renaming (primMetaToNat to toℕ; primMetaEquality to _≡ᵇ_)
 
open import Agda.Builtin.Reflection.Properties public
  renaming (primMetaToNatInjective to toℕ-injective)
 
-- Equality of metas is decidable.
 
infix  _≈?_ _≟_ _≈_
 
_≈_ : Rel Meta _
_≈_ = _≡_ on toℕ
 
_≈?_ : Decidable _≈_
_≈?_ = On.decidable toℕ _≡_ ℕ._≟_
 
_≟_ : DecidableEquality Meta
m ≟ n = map′ (toℕ-injective _ _) (cong toℕ) (m ≈? n)