------------------------------------------------------------------------
-- The Agda standard library
--
-- Typeclass instances for products
------------------------------------------------------------------------
{-# OPTIONS --cubical-compatible --safe #-}
module Data.Product.Instances where
open import Data.Product.Base using (Σ)
open import Data.Product.Properties using (≡-dec)
open import Level using (Level)
open import Relation.Binary.PropositionalEquality.Properties
using (isDecEquivalence)
open import Relation.Binary.PropositionalEquality.Core using (_≡_)
open import Relation.Binary.Structures using (IsDecEquivalence)
open import Relation.Binary.TypeClasses
private
variable
a b : Level
A : Set a
instance
Σ-≡-isDecEquivalence : ∀ {B : A → Set b} {{_ : IsDecEquivalence {A = A} _≡_}} {{_ : ∀ {a} → IsDecEquivalence {A = B a} _≡_}} → IsDecEquivalence {A = Σ A B} _≡_
Σ-≡-isDecEquivalence = isDecEquivalence (≡-dec _≟_ _≟_)
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