Source code on Github{-# OPTIONS --safe --no-import-sorts #-}
open import Axiom.Set using (Theory)
module Class.HasEmptySet (th : Theory) where
open import abstract-set-theory.Prelude
open Theory th renaming (∅ to ∅ˢ)
open import Axiom.Set.Map th
record HasEmptySet (A : Type) : Type where
field
∅ : A
open HasEmptySet ⦃...⦄ public
instance
HasEmptySet-Set : {A : Type} → HasEmptySet (Set A)
HasEmptySet-Set = record { ∅ = ∅ˢ }
HasEmptySet-Map : {A B : Type} → HasEmptySet (Map A B)
HasEmptySet-Map = record { ∅ = ∅ᵐ }