Standard types, classes and related functions

Basic data types

type family If cond tru fls :: k

type family Not a :: Bool

type family a :&& a :: Bool

type family a :|| a :: Bool

type family Otherwise :: Bool

maybe_

type family Maybe_ a a a :: b

either_

type family Either_ a a a :: c

data Symbol

type family Fst a :: a

type family Snd a :: b

type family Curry a a a :: c

type family Uncurry a a :: c

Error reporting

type family Error str :: k

data ErrorSym0 l

Promoted equality

Promoted comparisons

Promoted enumerations

Promoted numbers

Miscellaneous functions

type family Id a :: a

type family Const a a :: a

type family (a :. a) a :: c

type family f $ x :: b

type family f $! x :: b

type family Flip a a a :: c

type family AsTypeOf a a :: a

type family Until a a a :: a

type family Seq a a :: b

List operations

type family Map a a :: [b]

type family a :++ a :: [a]

type family Filter a a :: [a]

type family Head a :: a

type family Last a :: a

type family Tail a :: [a]

type family Init a :: [a]

type family Null a :: Bool

type family Length a :: Nat

type family a :!! a :: a

type family Reverse a :: [a]

Reducing lists (folds)

type family Foldl a a a :: b

type family Foldl1 a a :: a

type family Foldr a a a :: b

type family Foldr1 a a :: a

Special folds

type family And a :: Bool

type family Or a :: Bool

any_

type family Any_ a a :: Bool

type family All a a :: Bool

type family Sum a :: a

type family Product a :: a

type family Concat a :: [a]

type family ConcatMap a a :: [b]

type family Maximum a :: a

type family Minimum a :: a

Building lists

Scans

type family Scanl a a a :: [b]

type family Scanl1 a a :: [a]

type family Scanr a a a :: [b]

type family Scanr1 a a :: [a]

Infinite lists

type family Replicate a a :: [a]

Sublists

type family Take a a :: [a]

type family Drop a a :: [a]

type family SplitAt a a :: ([a], [a])

type family TakeWhile a a :: [a]

type family DropWhile a a :: [a]

type family Span a a :: ([a], [a])

type family Break a a :: ([a], [a])

Searching lists

type family Elem a a :: Bool

type family NotElem a a :: Bool

type family Lookup a a :: Maybe b

Zipping and unzipping lists

type family Zip a a :: [(a, b)]

type family Zip3 a a a :: [(a, b, c)]

type family ZipWith a a a :: [c]

type family ZipWith3 a a a a :: [d]

type family Unzip a :: ([a], [b])

type family Unzip3 a :: ([a], [b], [c])

Other datatypes

data Proxy t

data KProxy t

Defunctionalization symbols

type FalseSym0

type TrueSym0

data NotSym0 l

type NotSym1 t

data (:&&$) l

data l :&&$$ l

type t :&&$$$ t

data (:||$) l

data l :||$$ l

type t :||$$$ t

type OtherwiseSym0

type NothingSym0

data JustSym0 l

type JustSym1 t

data Maybe_Sym0 l

data Maybe_Sym1 l l

data Maybe_Sym2 l l l

type Maybe_Sym3 t t t

data LeftSym0 l

type LeftSym1 t

data RightSym0 l

type RightSym1 t

data Either_Sym0 l

data Either_Sym1 l l

data Either_Sym2 l l l

type Either_Sym3 t t t

type Tuple0Sym0

data Tuple2Sym0 l

data Tuple2Sym1 l l

type Tuple2Sym2 t t

data Tuple3Sym0 l

data Tuple3Sym1 l l

data Tuple3Sym2 l l l

type Tuple3Sym3 t t t

data Tuple4Sym0 l

data Tuple4Sym1 l l

data Tuple4Sym2 l l l

data Tuple4Sym3 l l l l

type Tuple4Sym4 t t t t

data Tuple5Sym0 l

data Tuple5Sym1 l l

data Tuple5Sym2 l l l

data Tuple5Sym3 l l l l

data Tuple5Sym4 l l l l l

type Tuple5Sym5 t t t t t

data Tuple6Sym0 l

data Tuple6Sym1 l l

data Tuple6Sym2 l l l

data Tuple6Sym3 l l l l

data Tuple6Sym4 l l l l l

data Tuple6Sym5 l l l l l l

type Tuple6Sym6 t t t t t t

data Tuple7Sym0 l

data Tuple7Sym1 l l

data Tuple7Sym2 l l l

data Tuple7Sym3 l l l l

data Tuple7Sym4 l l l l l

data Tuple7Sym5 l l l l l l

data Tuple7Sym6 l l l l l l l

type Tuple7Sym7 t t t t t t t

data FstSym0 l

type FstSym1 t

data SndSym0 l

type SndSym1 t

data CurrySym0 l

data CurrySym1 l l

data CurrySym2 l l l

type CurrySym3 t t t

data UncurrySym0 l

data UncurrySym1 l l

type UncurrySym2 t t

data (:^$) l

data l :^$$ l

data IdSym0 l

type IdSym1 t

data ConstSym0 l

data ConstSym1 l l

type ConstSym2 t t

data (:.$) l

data l :.$$ l

data (l :.$$$ l) l

data ($$)

data ($$$)

type a $$$$ b

data ($!$)

data ($!$$)

type a $!$$$ b

data FlipSym0 l

data FlipSym1 l l

data FlipSym2 l l l

data AsTypeOfSym0 l

data AsTypeOfSym1 l l

type AsTypeOfSym2 t t

data SeqSym0 l

data SeqSym1 l l

type SeqSym2 t t

data (:$) l

data l :$$ l

type t :$$$ t

type NilSym0

data MapSym0 l

data MapSym1 l l

type MapSym2 t t

data ReverseSym0 l

type ReverseSym1 t

data l :++$$ l

data (:++$) l

data HeadSym0 l

type HeadSym1 t

data LastSym0 l

type LastSym1 t

data TailSym0 l

type TailSym1 t

data InitSym0 l

type InitSym1 t

data NullSym0 l

type NullSym1 t

data FoldlSym0 l

data FoldlSym1 l l

data FoldlSym2 l l l

type FoldlSym3 t t t

data Foldl1Sym0 l

data Foldl1Sym1 l l

type Foldl1Sym2 t t

data FoldrSym0 l

data FoldrSym1 l l

data FoldrSym2 l l l

type FoldrSym3 t t t

data Foldr1Sym0 l

data Foldr1Sym1 l l

type Foldr1Sym2 t t

data ConcatSym0 l

type ConcatSym1 t

data ConcatMapSym0 l

data ConcatMapSym1 l l

type ConcatMapSym2 t t

data MaximumBySym0 l

data MaximumBySym1 l l

type MaximumBySym2 t t

data MinimumBySym0 l

data MinimumBySym1 l l

type MinimumBySym2 t t

data AndSym0 l

type AndSym1 t

data OrSym0 l

type OrSym1 t

data Any_Sym0 l

data Any_Sym1 l l

type Any_Sym2 t t

data AllSym0 l

data AllSym1 l l

type AllSym2 t t

data ScanlSym0 l

data ScanlSym1 l l

data ScanlSym2 l l l

type ScanlSym3 t t t

data Scanl1Sym0 l

data Scanl1Sym1 l l

type Scanl1Sym2 t t

data ScanrSym0 l

data ScanrSym1 l l

data ScanrSym2 l l l

type ScanrSym3 t t t

data Scanr1Sym0 l

data Scanr1Sym1 l l

type Scanr1Sym2 t t

data ElemSym0 l

data ElemSym1 l l

type ElemSym2 t t

data NotElemSym0 l

data NotElemSym1 l l

type NotElemSym2 t t

data ZipSym0 l

data ZipSym1 l l

type ZipSym2 t t

data Zip3Sym0 l

data Zip3Sym1 l l

data Zip3Sym2 l l l

type Zip3Sym3 t t t

data ZipWithSym0 l

data ZipWithSym1 l l

data ZipWithSym2 l l l

type ZipWithSym3 t t t

data ZipWith3Sym0 l

data ZipWith3Sym1 l l

data ZipWith3Sym2 l l l

data ZipWith3Sym3 l l l l

data UnzipSym0 l

type UnzipSym1 t

data UntilSym0 l

data UntilSym1 l l

data UntilSym2 l l l

type UntilSym3 t t t

data LengthSym0 l

type LengthSym1 t

data SumSym0 l

type SumSym1 t

data ProductSym0 l

type ProductSym1 t

data ReplicateSym0 l

data ReplicateSym1 l l

type ReplicateSym2 t t

data TakeSym0 l

data TakeSym1 l l

type TakeSym2 t t

data DropSym0 l

data DropSym1 l l

type DropSym2 t t

data SplitAtSym0 l

data SplitAtSym1 l l

type SplitAtSym2 t t

data TakeWhileSym0 l

data TakeWhileSym1 l l

type TakeWhileSym2 t t

data DropWhileSym0 l

data DropWhileSym1 l l

type DropWhileSym2 t t

data SpanSym0 l

data SpanSym1 l l

type SpanSym2 t t

data BreakSym0 l

data BreakSym1 l l

type BreakSym2 t t

data LookupSym0 l

data LookupSym1 l l

type LookupSym2 t t

data FilterSym0 l

data FilterSym1 l l

type FilterSym2 t t

data (:!!$) l

data l :!!$$ l

type t :!!$$$ t