diff --git a/lib/Haskell/Law/Ord.agda b/lib/Haskell/Law/Ord.agda index 7f3f2d81..62168ee1 100644 --- a/lib/Haskell/Law/Ord.agda +++ b/lib/Haskell/Law/Ord.agda @@ -7,3 +7,4 @@ open import Haskell.Law.Ord.Integer public open import Haskell.Law.Ord.Maybe public open import Haskell.Law.Ord.Nat public open import Haskell.Law.Ord.Ordering public +open import Haskell.Law.Ord.Unit public diff --git a/lib/Haskell/Law/Ord/Def.agda b/lib/Haskell/Law/Ord/Def.agda index 73b5f387..6d3fd2a4 100644 --- a/lib/Haskell/Law/Ord/Def.agda +++ b/lib/Haskell/Law/Ord/Def.agda @@ -178,8 +178,6 @@ postulate instance iLawfulOrdDouble : IsLawfulOrd Double - iLawfulOrdUnit : IsLawfulOrd ⊤ - iLawfulOrdTuple₂ : ⦃ iOrdA : Ord a ⦄ ⦃ iOrdB : Ord b ⦄ → ⦃ IsLawfulOrd a ⦄ → ⦃ IsLawfulOrd b ⦄ → IsLawfulOrd (a × b) diff --git a/lib/Haskell/Law/Ord/Unit.agda b/lib/Haskell/Law/Ord/Unit.agda new file mode 100644 index 00000000..e8b8d268 --- /dev/null +++ b/lib/Haskell/Law/Ord/Unit.agda @@ -0,0 +1,23 @@ +module Haskell.Law.Ord.Unit where + +open import Haskell.Prim +open import Haskell.Prim.Ord + +open import Haskell.Law.Ord.Def +open import Haskell.Law.Eq.Instances + +instance + iLawfulOrdUnit : IsLawfulOrd ⊤ + + iLawfulOrdUnit .comparability _ _ = refl + iLawfulOrdUnit .transitivity _ _ _ _ = refl + iLawfulOrdUnit .reflexivity _ = refl + iLawfulOrdUnit .antisymmetry _ _ _ = refl + iLawfulOrdUnit .lte2gte _ _ = refl + iLawfulOrdUnit .lt2LteNeq _ _ = refl + iLawfulOrdUnit .lt2gt _ _ = refl + iLawfulOrdUnit .compareLt _ _ = refl + iLawfulOrdUnit .compareGt _ _ = refl + iLawfulOrdUnit .compareEq _ _ = refl + iLawfulOrdUnit .min2if _ _ = refl + iLawfulOrdUnit .max2if _ _ = refl