Main data type

The key type representing kinds in the compiler. Invariant: a kind is always in one of these forms:

 FunTy k1 k2
 TyConApp PrimTyCon [...]
 TyVar kv   -- (during inference only)
 ForAll ... -- (for top-level coercions)

typeKind :: Type -> Kind Source

liftedTypeKind, ubxTupleKind, argTypeKind, openTypeKind, unliftedTypeKind :: Kind Source

See Type for details of the distinction between these Kinds

mkArrowKind :: Kind -> Kind -> Kind Source

Given two kinds k1 and k2, creates the Kind k1 -> k2

mkArrowKinds :: [Kind] -> Kind -> Kind Source

Iterated application of mkArrowKind

tySuperKindTyCon, argTypeKindTyCon, ubxTupleKindTyCon, unliftedTypeKindTyCon, openTypeKindTyCon, liftedTypeKindTyCon :: TyCon Source

See Type for details of the distinction between the Kind TyCons

tySuperKind :: SuperKindSource

pprKind, pprParendKind :: Kind -> SDoc Source

Deconstructing Kinds

kindFunResult :: Kind -> Kind Source

Essentially funResultTy on kinds

kindAppResult :: Kind -> [arg] -> Kind Source

synTyConResKind :: TyCon -> Kind Source

Find the result Kind of a type synonym, after applying it to its arity number of type variables Actually this function works fine on data types too, but they'd always return *, so we never need to ask

splitKindFunTys :: Kind -> ([Kind], Kind)Source

Essentially splitFunTys on kinds

splitKindFunTysN :: Int -> Kind -> ([Kind], Kind)Source

Essentially splitFunTysN on kinds

splitKindFunTy_maybe :: Kind -> Maybe (Kind, Kind)Source

Predicates on Kinds

isLiftedTypeKind :: Kind -> Bool Source

isUbxTupleKind, isUnliftedTypeKind, isArgTypeKind, isOpenTypeKind :: Kind -> Bool Source

See Type for details of the distinction between these Kinds

isKind :: Kind -> Bool Source

Is this a kind (i.e. a type-of-types)?

isTySuperKind :: SuperKind -> Bool Source

isSuperKind :: Type -> Bool Source

Is this a super-kind (i.e. a type-of-kinds)?

isCoercionKind :: Kind -> Bool Source

isLiftedTypeKindCon :: TyCon -> Bool Source

isSubArgTypeKind :: Kind -> Bool Source

True of any sub-kind of ArgTypeKind

isSubOpenTypeKind :: Kind -> Bool Source

True of any sub-kind of OpenTypeKind (i.e. anything except arrow)

isSubKind :: Kind -> Kind -> Bool Source

k1 `isSubKind` k2 checks that k1 <: k2

defaultKind :: Kind -> Kind Source

Used when generalising: default kind ? and ?? to *. See Type for more information on what that means

isSubKindCon :: TyCon -> TyCon -> Bool Source

kc1 `isSubKindCon` kc2 checks that kc1 <: kc2