------------------------------------------------------------------------
-- The Agda standard library
--
-- A pointwise lifting of a relation to incorporate a new supremum.
------------------------------------------------------------------------
{-# OPTIONS --cubical-compatible --safe #-}
-- This module is designed to be used with
-- Relation.Nullary.Construct.Add.Supremum
open import Relation.Binary.Core using (Rel)
module Relation.Binary.Construct.Add.Supremum.Equality
{a ℓ} {A : Set a} (_≈_ : Rel A ℓ) where
open import Relation.Binary.Construct.Add.Point.Equality _≈_ public
renaming
(_≈∙_ to _≈⁺_
; ∙≈∙ to ⊤⁺≈⊤⁺
; ≈∙-refl to ≈⁺-refl
; ≈∙-sym to ≈⁺-sym
; ≈∙-trans to ≈⁺-trans
; ≈∙-dec to ≈⁺-dec
; ≈∙-irrelevant to ≈⁺-irrelevant
; ≈∙-substitutive to ≈⁺-substitutive
; ≈∙-isEquivalence to ≈⁺-isEquivalence
; ≈∙-isDecEquivalence to ≈⁺-isDecEquivalence
)
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