Singletons/HigherOrder.hs:0:0: Splicing declarations
    singletons
      [d| map :: (a -> b) -> [a] -> [b]
          map _ [] = []
          map f (h : t) = (f h) : (map f t)
          liftMaybe :: (a -> b) -> Maybe a -> Maybe b
          liftMaybe f (Just x) = Just (f x)
          liftMaybe _ Nothing = Nothing
          zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]
          zipWith f (x : xs) (y : ys) = f x y : zipWith f xs ys
          zipWith _ [] [] = []
          zipWith _ (_ : _) [] = []
          zipWith _ [] (_ : _) = []
          foo :: ((a -> b) -> a -> b) -> (a -> b) -> a -> b
          foo f g a = f g a
          splunge :: [Nat] -> [Bool] -> [Nat]
          splunge ns bs
            = zipWith (\ n b -> if b then Succ (Succ n) else n) ns bs
          etad :: [Nat] -> [Bool] -> [Nat]
          etad = zipWith (\ n b -> if b then Succ (Succ n) else n)
          
          data Either a b = Left a | Right b |]
  ======>
    Singletons/HigherOrder.hs:(0,0)-(0,0)
    data Either a b = Left a | Right b
    map :: forall a b. (a -> b) -> [a] -> [b]
    map _ GHC.Types.[] = []
    map f (h GHC.Types.: t) = ((f h) GHC.Types.: (map f t))
    liftMaybe :: forall a b. (a -> b) -> Maybe a -> Maybe b
    liftMaybe f (Just x) = Just (f x)
    liftMaybe _ Nothing = Nothing
    zipWith :: forall a b c. (a -> b -> c) -> [a] -> [b] -> [c]
    zipWith f (x GHC.Types.: xs) (y GHC.Types.: ys)
      = ((f x y) GHC.Types.: (zipWith f xs ys))
    zipWith _ GHC.Types.[] GHC.Types.[] = []
    zipWith _ (_ GHC.Types.: _) GHC.Types.[] = []
    zipWith _ GHC.Types.[] (_ GHC.Types.: _) = []
    foo :: forall a b. ((a -> b) -> a -> b) -> (a -> b) -> a -> b
    foo f g a = f g a
    splunge :: [Nat] -> [Bool] -> [Nat]
    splunge ns bs
      = zipWith (\ n b -> if b then Succ (Succ n) else n) ns bs
    etad :: [Nat] -> [Bool] -> [Nat]
    etad = zipWith (\ n b -> if b then Succ (Succ n) else n)
    type LeftSym1 (t :: a) = Left t
    instance SuppressUnusedWarnings LeftSym0 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) LeftSym0KindInference GHC.Tuple.())
    data LeftSym0 (l :: TyFun a (Either a b))
      = forall arg. KindOf (Apply LeftSym0 arg) ~ KindOf (LeftSym1 arg) =>
        LeftSym0KindInference
    type instance Apply LeftSym0 l = LeftSym1 l
    type RightSym1 (t :: b) = Right t
    instance SuppressUnusedWarnings RightSym0 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) RightSym0KindInference GHC.Tuple.())
    data RightSym0 (l :: TyFun b (Either a b))
      = forall arg. KindOf (Apply RightSym0 arg) ~ KindOf (RightSym1 arg) =>
        RightSym0KindInference
    type instance Apply RightSym0 l = RightSym1 l
    type Let_0123456789Scrutinee_0123456789Sym4 t t t t =
        Let_0123456789Scrutinee_0123456789 t t t t
    instance SuppressUnusedWarnings Let_0123456789Scrutinee_0123456789Sym3 where
      suppressUnusedWarnings _
        = snd
            (GHC.Tuple.(,)
               Let_0123456789Scrutinee_0123456789Sym3KindInference GHC.Tuple.())
    data Let_0123456789Scrutinee_0123456789Sym3 l l l l
      = forall arg. KindOf (Apply (Let_0123456789Scrutinee_0123456789Sym3 l l l) arg) ~ KindOf (Let_0123456789Scrutinee_0123456789Sym4 l l l arg) =>
        Let_0123456789Scrutinee_0123456789Sym3KindInference
    type instance Apply (Let_0123456789Scrutinee_0123456789Sym3 l l l) l = Let_0123456789Scrutinee_0123456789Sym4 l l l l
    instance SuppressUnusedWarnings Let_0123456789Scrutinee_0123456789Sym2 where
      suppressUnusedWarnings _
        = snd
            (GHC.Tuple.(,)
               Let_0123456789Scrutinee_0123456789Sym2KindInference GHC.Tuple.())
    data Let_0123456789Scrutinee_0123456789Sym2 l l l
      = forall arg. KindOf (Apply (Let_0123456789Scrutinee_0123456789Sym2 l l) arg) ~ KindOf (Let_0123456789Scrutinee_0123456789Sym3 l l arg) =>
        Let_0123456789Scrutinee_0123456789Sym2KindInference
    type instance Apply (Let_0123456789Scrutinee_0123456789Sym2 l l) l = Let_0123456789Scrutinee_0123456789Sym3 l l l
    instance SuppressUnusedWarnings Let_0123456789Scrutinee_0123456789Sym1 where
      suppressUnusedWarnings _
        = snd
            (GHC.Tuple.(,)
               Let_0123456789Scrutinee_0123456789Sym1KindInference GHC.Tuple.())
    data Let_0123456789Scrutinee_0123456789Sym1 l l
      = forall arg. KindOf (Apply (Let_0123456789Scrutinee_0123456789Sym1 l) arg) ~ KindOf (Let_0123456789Scrutinee_0123456789Sym2 l arg) =>
        Let_0123456789Scrutinee_0123456789Sym1KindInference
    type instance Apply (Let_0123456789Scrutinee_0123456789Sym1 l) l = Let_0123456789Scrutinee_0123456789Sym2 l l
    instance SuppressUnusedWarnings Let_0123456789Scrutinee_0123456789Sym0 where
      suppressUnusedWarnings _
        = snd
            (GHC.Tuple.(,)
               Let_0123456789Scrutinee_0123456789Sym0KindInference GHC.Tuple.())
    data Let_0123456789Scrutinee_0123456789Sym0 l
      = forall arg. KindOf (Apply Let_0123456789Scrutinee_0123456789Sym0 arg) ~ KindOf (Let_0123456789Scrutinee_0123456789Sym1 arg) =>
        Let_0123456789Scrutinee_0123456789Sym0KindInference
    type instance Apply Let_0123456789Scrutinee_0123456789Sym0 l = Let_0123456789Scrutinee_0123456789Sym1 l
    type Let_0123456789Scrutinee_0123456789 ns bs n b = b
    type family Case_0123456789 ns bs n b t where
      Case_0123456789 ns bs n b True = Apply SuccSym0 (Apply SuccSym0 n)
      Case_0123456789 ns bs n b False = n
    type family Lambda_0123456789 ns bs t t where
      Lambda_0123456789 ns bs n b = Case_0123456789 ns bs n b (Let_0123456789Scrutinee_0123456789Sym4 ns bs n b)
    type Lambda_0123456789Sym4 t t t t = Lambda_0123456789 t t t t
    instance SuppressUnusedWarnings Lambda_0123456789Sym3 where
      suppressUnusedWarnings _
        = snd
            (GHC.Tuple.(,) Lambda_0123456789Sym3KindInference GHC.Tuple.())
    data Lambda_0123456789Sym3 l l l l
      = forall arg. KindOf (Apply (Lambda_0123456789Sym3 l l l) arg) ~ KindOf (Lambda_0123456789Sym4 l l l arg) =>
        Lambda_0123456789Sym3KindInference
    type instance Apply (Lambda_0123456789Sym3 l l l) l = Lambda_0123456789Sym4 l l l l
    instance SuppressUnusedWarnings Lambda_0123456789Sym2 where
      suppressUnusedWarnings _
        = snd
            (GHC.Tuple.(,) Lambda_0123456789Sym2KindInference GHC.Tuple.())
    data Lambda_0123456789Sym2 l l l
      = forall arg. KindOf (Apply (Lambda_0123456789Sym2 l l) arg) ~ KindOf (Lambda_0123456789Sym3 l l arg) =>
        Lambda_0123456789Sym2KindInference
    type instance Apply (Lambda_0123456789Sym2 l l) l = Lambda_0123456789Sym3 l l l
    instance SuppressUnusedWarnings Lambda_0123456789Sym1 where
      suppressUnusedWarnings _
        = snd
            (GHC.Tuple.(,) Lambda_0123456789Sym1KindInference GHC.Tuple.())
    data Lambda_0123456789Sym1 l l
      = forall arg. KindOf (Apply (Lambda_0123456789Sym1 l) arg) ~ KindOf (Lambda_0123456789Sym2 l arg) =>
        Lambda_0123456789Sym1KindInference
    type instance Apply (Lambda_0123456789Sym1 l) l = Lambda_0123456789Sym2 l l
    instance SuppressUnusedWarnings Lambda_0123456789Sym0 where
      suppressUnusedWarnings _
        = snd
            (GHC.Tuple.(,) Lambda_0123456789Sym0KindInference GHC.Tuple.())
    data Lambda_0123456789Sym0 l
      = forall arg. KindOf (Apply Lambda_0123456789Sym0 arg) ~ KindOf (Lambda_0123456789Sym1 arg) =>
        Lambda_0123456789Sym0KindInference
    type instance Apply Lambda_0123456789Sym0 l = Lambda_0123456789Sym1 l
    type Let_0123456789Scrutinee_0123456789Sym4 t t t t =
        Let_0123456789Scrutinee_0123456789 t t t t
    instance SuppressUnusedWarnings Let_0123456789Scrutinee_0123456789Sym3 where
      suppressUnusedWarnings _
        = snd
            (GHC.Tuple.(,)
               Let_0123456789Scrutinee_0123456789Sym3KindInference GHC.Tuple.())
    data Let_0123456789Scrutinee_0123456789Sym3 l l l l
      = forall arg. KindOf (Apply (Let_0123456789Scrutinee_0123456789Sym3 l l l) arg) ~ KindOf (Let_0123456789Scrutinee_0123456789Sym4 l l l arg) =>
        Let_0123456789Scrutinee_0123456789Sym3KindInference
    type instance Apply (Let_0123456789Scrutinee_0123456789Sym3 l l l) l = Let_0123456789Scrutinee_0123456789Sym4 l l l l
    instance SuppressUnusedWarnings Let_0123456789Scrutinee_0123456789Sym2 where
      suppressUnusedWarnings _
        = snd
            (GHC.Tuple.(,)
               Let_0123456789Scrutinee_0123456789Sym2KindInference GHC.Tuple.())
    data Let_0123456789Scrutinee_0123456789Sym2 l l l
      = forall arg. KindOf (Apply (Let_0123456789Scrutinee_0123456789Sym2 l l) arg) ~ KindOf (Let_0123456789Scrutinee_0123456789Sym3 l l arg) =>
        Let_0123456789Scrutinee_0123456789Sym2KindInference
    type instance Apply (Let_0123456789Scrutinee_0123456789Sym2 l l) l = Let_0123456789Scrutinee_0123456789Sym3 l l l
    instance SuppressUnusedWarnings Let_0123456789Scrutinee_0123456789Sym1 where
      suppressUnusedWarnings _
        = snd
            (GHC.Tuple.(,)
               Let_0123456789Scrutinee_0123456789Sym1KindInference GHC.Tuple.())
    data Let_0123456789Scrutinee_0123456789Sym1 l l
      = forall arg. KindOf (Apply (Let_0123456789Scrutinee_0123456789Sym1 l) arg) ~ KindOf (Let_0123456789Scrutinee_0123456789Sym2 l arg) =>
        Let_0123456789Scrutinee_0123456789Sym1KindInference
    type instance Apply (Let_0123456789Scrutinee_0123456789Sym1 l) l = Let_0123456789Scrutinee_0123456789Sym2 l l
    instance SuppressUnusedWarnings Let_0123456789Scrutinee_0123456789Sym0 where
      suppressUnusedWarnings _
        = snd
            (GHC.Tuple.(,)
               Let_0123456789Scrutinee_0123456789Sym0KindInference GHC.Tuple.())
    data Let_0123456789Scrutinee_0123456789Sym0 l
      = forall arg. KindOf (Apply Let_0123456789Scrutinee_0123456789Sym0 arg) ~ KindOf (Let_0123456789Scrutinee_0123456789Sym1 arg) =>
        Let_0123456789Scrutinee_0123456789Sym0KindInference
    type instance Apply Let_0123456789Scrutinee_0123456789Sym0 l = Let_0123456789Scrutinee_0123456789Sym1 l
    type Let_0123456789Scrutinee_0123456789 n
                                            b
                                            a_0123456789
                                            a_0123456789 =
        b
    type family Case_0123456789 n b a_0123456789 a_0123456789 t where
      Case_0123456789 n b a_0123456789 a_0123456789 True = Apply SuccSym0 (Apply SuccSym0 n)
      Case_0123456789 n b a_0123456789 a_0123456789 False = n
    type family Lambda_0123456789 a_0123456789 a_0123456789 t t where
      Lambda_0123456789 a_0123456789 a_0123456789 n b = Case_0123456789 n b a_0123456789 a_0123456789 (Let_0123456789Scrutinee_0123456789Sym4 n b a_0123456789 a_0123456789)
    type Lambda_0123456789Sym4 t t t t = Lambda_0123456789 t t t t
    instance SuppressUnusedWarnings Lambda_0123456789Sym3 where
      suppressUnusedWarnings _
        = snd
            (GHC.Tuple.(,) Lambda_0123456789Sym3KindInference GHC.Tuple.())
    data Lambda_0123456789Sym3 l l l l
      = forall arg. KindOf (Apply (Lambda_0123456789Sym3 l l l) arg) ~ KindOf (Lambda_0123456789Sym4 l l l arg) =>
        Lambda_0123456789Sym3KindInference
    type instance Apply (Lambda_0123456789Sym3 l l l) l = Lambda_0123456789Sym4 l l l l
    instance SuppressUnusedWarnings Lambda_0123456789Sym2 where
      suppressUnusedWarnings _
        = snd
            (GHC.Tuple.(,) Lambda_0123456789Sym2KindInference GHC.Tuple.())
    data Lambda_0123456789Sym2 l l l
      = forall arg. KindOf (Apply (Lambda_0123456789Sym2 l l) arg) ~ KindOf (Lambda_0123456789Sym3 l l arg) =>
        Lambda_0123456789Sym2KindInference
    type instance Apply (Lambda_0123456789Sym2 l l) l = Lambda_0123456789Sym3 l l l
    instance SuppressUnusedWarnings Lambda_0123456789Sym1 where
      suppressUnusedWarnings _
        = snd
            (GHC.Tuple.(,) Lambda_0123456789Sym1KindInference GHC.Tuple.())
    data Lambda_0123456789Sym1 l l
      = forall arg. KindOf (Apply (Lambda_0123456789Sym1 l) arg) ~ KindOf (Lambda_0123456789Sym2 l arg) =>
        Lambda_0123456789Sym1KindInference
    type instance Apply (Lambda_0123456789Sym1 l) l = Lambda_0123456789Sym2 l l
    instance SuppressUnusedWarnings Lambda_0123456789Sym0 where
      suppressUnusedWarnings _
        = snd
            (GHC.Tuple.(,) Lambda_0123456789Sym0KindInference GHC.Tuple.())
    data Lambda_0123456789Sym0 l
      = forall arg. KindOf (Apply Lambda_0123456789Sym0 arg) ~ KindOf (Lambda_0123456789Sym1 arg) =>
        Lambda_0123456789Sym0KindInference
    type instance Apply Lambda_0123456789Sym0 l = Lambda_0123456789Sym1 l
    type FooSym3 (t :: TyFun (TyFun a b -> *) (TyFun a b -> *) -> *)
                 (t :: TyFun a b -> *)
                 (t :: a) =
        Foo t t t
    instance SuppressUnusedWarnings FooSym2 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) FooSym2KindInference GHC.Tuple.())
    data FooSym2 (l :: TyFun (TyFun a b -> *) (TyFun a b -> *) -> *)
                 (l :: TyFun a b -> *)
                 (l :: TyFun a b)
      = forall arg. KindOf (Apply (FooSym2 l l) arg) ~ KindOf (FooSym3 l l arg) =>
        FooSym2KindInference
    type instance Apply (FooSym2 l l) l = FooSym3 l l l
    instance SuppressUnusedWarnings FooSym1 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) FooSym1KindInference GHC.Tuple.())
    data FooSym1 (l :: TyFun (TyFun a b -> *) (TyFun a b -> *) -> *)
                 (l :: TyFun (TyFun a b -> *) (TyFun a b -> *))
      = forall arg. KindOf (Apply (FooSym1 l) arg) ~ KindOf (FooSym2 l arg) =>
        FooSym1KindInference
    type instance Apply (FooSym1 l) l = FooSym2 l l
    instance SuppressUnusedWarnings FooSym0 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) FooSym0KindInference GHC.Tuple.())
    data FooSym0 (l :: TyFun (TyFun (TyFun a b -> *) (TyFun a b -> *)
                              -> *) (TyFun (TyFun a b -> *) (TyFun a b -> *) -> *))
      = forall arg. KindOf (Apply FooSym0 arg) ~ KindOf (FooSym1 arg) =>
        FooSym0KindInference
    type instance Apply FooSym0 l = FooSym1 l
    type ZipWithSym3 (t :: TyFun a (TyFun b c -> *) -> *)
                     (t :: GHC.Types.[] a)
                     (t :: GHC.Types.[] b) =
        ZipWith t t t
    instance SuppressUnusedWarnings ZipWithSym2 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) ZipWithSym2KindInference GHC.Tuple.())
    data ZipWithSym2 (l :: TyFun a (TyFun b c -> *) -> *)
                     (l :: GHC.Types.[] a)
                     (l :: TyFun (GHC.Types.[] b) (GHC.Types.[] c))
      = forall arg. KindOf (Apply (ZipWithSym2 l l) arg) ~ KindOf (ZipWithSym3 l l arg) =>
        ZipWithSym2KindInference
    type instance Apply (ZipWithSym2 l l) l = ZipWithSym3 l l l
    instance SuppressUnusedWarnings ZipWithSym1 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) ZipWithSym1KindInference GHC.Tuple.())
    data ZipWithSym1 (l :: TyFun a (TyFun b c -> *) -> *)
                     (l :: TyFun (GHC.Types.[] a) (TyFun (GHC.Types.[] b) (GHC.Types.[] c)
                                                   -> *))
      = forall arg. KindOf (Apply (ZipWithSym1 l) arg) ~ KindOf (ZipWithSym2 l arg) =>
        ZipWithSym1KindInference
    type instance Apply (ZipWithSym1 l) l = ZipWithSym2 l l
    instance SuppressUnusedWarnings ZipWithSym0 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) ZipWithSym0KindInference GHC.Tuple.())
    data ZipWithSym0 (l :: TyFun (TyFun a (TyFun b c -> *)
                                  -> *) (TyFun (GHC.Types.[] a) (TyFun (GHC.Types.[] b) (GHC.Types.[] c)
                                                                 -> *)
                                         -> *))
      = forall arg. KindOf (Apply ZipWithSym0 arg) ~ KindOf (ZipWithSym1 arg) =>
        ZipWithSym0KindInference
    type instance Apply ZipWithSym0 l = ZipWithSym1 l
    type SplungeSym2 (t :: GHC.Types.[] Nat) (t :: GHC.Types.[] Bool) =
        Splunge t t
    instance SuppressUnusedWarnings SplungeSym1 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) SplungeSym1KindInference GHC.Tuple.())
    data SplungeSym1 (l :: GHC.Types.[] Nat)
                     (l :: TyFun (GHC.Types.[] Bool) (GHC.Types.[] Nat))
      = forall arg. KindOf (Apply (SplungeSym1 l) arg) ~ KindOf (SplungeSym2 l arg) =>
        SplungeSym1KindInference
    type instance Apply (SplungeSym1 l) l = SplungeSym2 l l
    instance SuppressUnusedWarnings SplungeSym0 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) SplungeSym0KindInference GHC.Tuple.())
    data SplungeSym0 (l :: TyFun (GHC.Types.[] Nat) (TyFun (GHC.Types.[] Bool) (GHC.Types.[] Nat)
                                                     -> *))
      = forall arg. KindOf (Apply SplungeSym0 arg) ~ KindOf (SplungeSym1 arg) =>
        SplungeSym0KindInference
    type instance Apply SplungeSym0 l = SplungeSym1 l
    type EtadSym2 (t :: GHC.Types.[] Nat) (t :: GHC.Types.[] Bool) =
        Etad t t
    instance SuppressUnusedWarnings EtadSym1 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) EtadSym1KindInference GHC.Tuple.())
    data EtadSym1 (l :: GHC.Types.[] Nat)
                  (l :: TyFun (GHC.Types.[] Bool) (GHC.Types.[] Nat))
      = forall arg. KindOf (Apply (EtadSym1 l) arg) ~ KindOf (EtadSym2 l arg) =>
        EtadSym1KindInference
    type instance Apply (EtadSym1 l) l = EtadSym2 l l
    instance SuppressUnusedWarnings EtadSym0 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) EtadSym0KindInference GHC.Tuple.())
    data EtadSym0 (l :: TyFun (GHC.Types.[] Nat) (TyFun (GHC.Types.[] Bool) (GHC.Types.[] Nat)
                                                  -> *))
      = forall arg. KindOf (Apply EtadSym0 arg) ~ KindOf (EtadSym1 arg) =>
        EtadSym0KindInference
    type instance Apply EtadSym0 l = EtadSym1 l
    type LiftMaybeSym2 (t :: TyFun a b -> *) (t :: Maybe a) =
        LiftMaybe t t
    instance SuppressUnusedWarnings LiftMaybeSym1 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) LiftMaybeSym1KindInference GHC.Tuple.())
    data LiftMaybeSym1 (l :: TyFun a b -> *)
                       (l :: TyFun (Maybe a) (Maybe b))
      = forall arg. KindOf (Apply (LiftMaybeSym1 l) arg) ~ KindOf (LiftMaybeSym2 l arg) =>
        LiftMaybeSym1KindInference
    type instance Apply (LiftMaybeSym1 l) l = LiftMaybeSym2 l l
    instance SuppressUnusedWarnings LiftMaybeSym0 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) LiftMaybeSym0KindInference GHC.Tuple.())
    data LiftMaybeSym0 (l :: TyFun (TyFun a b
                                    -> *) (TyFun (Maybe a) (Maybe b) -> *))
      = forall arg. KindOf (Apply LiftMaybeSym0 arg) ~ KindOf (LiftMaybeSym1 arg) =>
        LiftMaybeSym0KindInference
    type instance Apply LiftMaybeSym0 l = LiftMaybeSym1 l
    type MapSym2 (t :: TyFun a b -> *) (t :: GHC.Types.[] a) = Map t t
    instance SuppressUnusedWarnings MapSym1 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) MapSym1KindInference GHC.Tuple.())
    data MapSym1 (l :: TyFun a b -> *)
                 (l :: TyFun (GHC.Types.[] a) (GHC.Types.[] b))
      = forall arg. KindOf (Apply (MapSym1 l) arg) ~ KindOf (MapSym2 l arg) =>
        MapSym1KindInference
    type instance Apply (MapSym1 l) l = MapSym2 l l
    instance SuppressUnusedWarnings MapSym0 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) MapSym0KindInference GHC.Tuple.())
    data MapSym0 (l :: TyFun (TyFun a b
                              -> *) (TyFun (GHC.Types.[] a) (GHC.Types.[] b) -> *))
      = forall arg. KindOf (Apply MapSym0 arg) ~ KindOf (MapSym1 arg) =>
        MapSym0KindInference
    type instance Apply MapSym0 l = MapSym1 l
    type family Foo (a :: TyFun (TyFun a b -> *) (TyFun a b -> *) -> *)
                    (a :: TyFun a b -> *)
                    (a :: a) :: b where
      Foo f g a = Apply (Apply f g) a
    type family ZipWith (a :: TyFun a (TyFun b c -> *) -> *)
                        (a :: GHC.Types.[] a)
                        (a :: GHC.Types.[] b) :: GHC.Types.[] c where
      ZipWith f ((GHC.Types.:) x xs) ((GHC.Types.:) y ys) = Apply (Apply (:$) (Apply (Apply f x) y)) (Apply (Apply (Apply ZipWithSym0 f) xs) ys)
      ZipWith z GHC.Types.[] GHC.Types.[] = GHC.Types.[]
      ZipWith z ((GHC.Types.:) z z) GHC.Types.[] = GHC.Types.[]
      ZipWith z GHC.Types.[] ((GHC.Types.:) z z) = GHC.Types.[]
    type family Splunge (a :: GHC.Types.[] Nat)
                        (a :: GHC.Types.[] Bool) :: GHC.Types.[] Nat where
      Splunge ns bs = Apply (Apply (Apply ZipWithSym0 (Apply (Apply Lambda_0123456789Sym0 ns) bs)) ns) bs
    type family Etad (a :: GHC.Types.[] Nat)
                     (a :: GHC.Types.[] Bool) :: GHC.Types.[] Nat where
      Etad a_0123456789 a_0123456789 = Apply (Apply (Apply ZipWithSym0 (Apply (Apply Lambda_0123456789Sym0 a_0123456789) a_0123456789)) a_0123456789) a_0123456789
    type family LiftMaybe (a :: TyFun a b -> *)
                          (a :: Maybe a) :: Maybe b where
      LiftMaybe f (Just x) = Apply JustSym0 (Apply f x)
      LiftMaybe z Nothing = NothingSym0
    type family Map (a :: TyFun a b -> *)
                    (a :: GHC.Types.[] a) :: GHC.Types.[] b where
      Map z GHC.Types.[] = GHC.Types.[]
      Map f ((GHC.Types.:) h t) = Apply (Apply (:$) (Apply f h)) (Apply (Apply MapSym0 f) t)
    sFoo ::
      forall (t :: TyFun (TyFun a b -> *) (TyFun a b -> *) -> *)
             (t :: TyFun a b -> *)
             (t :: a).
      Sing t
      -> Sing t -> Sing t -> Sing (Apply (Apply (Apply FooSym0 t) t) t)
    sZipWith ::
      forall (t :: TyFun a (TyFun b c -> *) -> *)
             (t :: GHC.Types.[] a)
             (t :: GHC.Types.[] b).
      Sing t
      -> Sing t
         -> Sing t -> Sing (Apply (Apply (Apply ZipWithSym0 t) t) t)
    sSplunge ::
      forall (t :: GHC.Types.[] Nat) (t :: GHC.Types.[] Bool).
      Sing t -> Sing t -> Sing (Apply (Apply SplungeSym0 t) t)
    sEtad ::
      forall (t :: GHC.Types.[] Nat) (t :: GHC.Types.[] Bool).
      Sing t -> Sing t -> Sing (Apply (Apply EtadSym0 t) t)
    sLiftMaybe ::
      forall (t :: TyFun a b -> *) (t :: Maybe a).
      Sing t -> Sing t -> Sing (Apply (Apply LiftMaybeSym0 t) t)
    sMap ::
      forall (t :: TyFun a b -> *) (t :: GHC.Types.[] a).
      Sing t -> Sing t -> Sing (Apply (Apply MapSym0 t) t)
    sFoo sF sG sA
      = let
          lambda ::
            forall f g a. (t ~ f, t ~ g, t ~ a) =>
            Sing f
            -> Sing g -> Sing a -> Sing (Apply (Apply (Apply FooSym0 f) g) a)
          lambda f g a = applySing (applySing f g) a
        in lambda sF sG sA
    sZipWith sF (SCons sX sXs) (SCons sY sYs)
      = let
          lambda ::
            forall f x xs y ys. (t ~ f,
                                 t ~ Apply (Apply (:$) x) xs,
                                 t ~ Apply (Apply (:$) y) ys) =>
            Sing f
            -> Sing x
               -> Sing xs
                  -> Sing y
                     -> Sing ys
                        -> Sing (Apply (Apply (Apply ZipWithSym0 f) (Apply (Apply (:$) x) xs)) (Apply (Apply (:$) y) ys))
          lambda f x xs y ys
            = applySing
                (applySing
                   (singFun2 (Proxy :: Proxy (:$)) SCons)
                   (applySing (applySing f x) y))
                (applySing
                   (applySing
                      (applySing (singFun3 (Proxy :: Proxy ZipWithSym0) sZipWith) f) xs)
                   ys)
        in lambda sF sX sXs sY sYs
    sZipWith _ SNil SNil
      = let
          lambda ::
            forall wild. (t ~ wild, t ~ GHC.Types.[], t ~ GHC.Types.[]) =>
            Sing (Apply (Apply (Apply ZipWithSym0 wild) GHC.Types.[]) GHC.Types.[])
          lambda = SNil
        in lambda
    sZipWith _ (SCons _ _) SNil
      = let
          lambda ::
            forall wild wild wild. (t ~ wild,
                                    t ~ Apply (Apply (:$) wild) wild,
                                    t ~ GHC.Types.[]) =>
            Sing (Apply (Apply (Apply ZipWithSym0 wild) (Apply (Apply (:$) wild) wild)) GHC.Types.[])
          lambda = SNil
        in lambda
    sZipWith _ SNil (SCons _ _)
      = let
          lambda ::
            forall wild wild wild. (t ~ wild,
                                    t ~ GHC.Types.[],
                                    t ~ Apply (Apply (:$) wild) wild) =>
            Sing (Apply (Apply (Apply ZipWithSym0 wild) GHC.Types.[]) (Apply (Apply (:$) wild) wild))
          lambda = SNil
        in lambda
    sSplunge sNs sBs
      = let
          lambda ::
            forall ns bs. (t ~ ns, t ~ bs) =>
            Sing ns -> Sing bs -> Sing (Apply (Apply SplungeSym0 ns) bs)
          lambda ns bs
            = applySing
                (applySing
                   (applySing
                      (singFun3 (Proxy :: Proxy ZipWithSym0) sZipWith)
                      (singFun2
                         (Proxy :: Proxy (Apply (Apply Lambda_0123456789Sym0 ns) bs))
                         (\ sN sB
                            -> let
                                 lambda ::
                                   forall n b.
                                   Sing n
                                   -> Sing b
                                      -> Sing (Apply (Apply (Apply (Apply Lambda_0123456789Sym0 ns) bs) n) b)
                                 lambda n b
                                   = let
                                       sScrutinee_0123456789 ::
                                         Sing (Let_0123456789Scrutinee_0123456789Sym4 ns bs n b)
                                       sScrutinee_0123456789 = b
                                     in
                                       case sScrutinee_0123456789 of {
                                         STrue
                                           -> let
                                                lambda :: Sing (Case_0123456789 ns bs n b TrueSym0)
                                                lambda
                                                  = applySing
                                                      (singFun1 (Proxy :: Proxy SuccSym0) SSucc)
                                                      (applySing
                                                         (singFun1 (Proxy :: Proxy SuccSym0) SSucc)
                                                         n)
                                              in lambda
                                         SFalse
                                           -> let
                                                lambda :: Sing (Case_0123456789 ns bs n b FalseSym0)
                                                lambda = n
                                              in lambda }
                               in lambda sN sB)))
                   ns)
                bs
        in lambda sNs sBs
    sEtad sA_0123456789 sA_0123456789
      = let
          lambda ::
            forall a_0123456789 a_0123456789. (t ~ a_0123456789,
                                               t ~ a_0123456789) =>
            Sing a_0123456789
            -> Sing a_0123456789
               -> Sing (Apply (Apply EtadSym0 a_0123456789) a_0123456789)
          lambda a_0123456789 a_0123456789
            = applySing
                (applySing
                   (applySing
                      (singFun3 (Proxy :: Proxy ZipWithSym0) sZipWith)
                      (singFun2
                         (Proxy ::
                            Proxy (Apply (Apply Lambda_0123456789Sym0 a_0123456789) a_0123456789))
                         (\ sN sB
                            -> let
                                 lambda ::
                                   forall n b.
                                   Sing n
                                   -> Sing b
                                      -> Sing (Apply (Apply (Apply (Apply Lambda_0123456789Sym0 a_0123456789) a_0123456789) n) b)
                                 lambda n b
                                   = let
                                       sScrutinee_0123456789 ::
                                         Sing (Let_0123456789Scrutinee_0123456789Sym4 n b a_0123456789 a_0123456789)
                                       sScrutinee_0123456789 = b
                                     in
                                       case sScrutinee_0123456789 of {
                                         STrue
                                           -> let
                                                lambda ::
                                                  Sing (Case_0123456789 n b a_0123456789 a_0123456789 TrueSym0)
                                                lambda
                                                  = applySing
                                                      (singFun1 (Proxy :: Proxy SuccSym0) SSucc)
                                                      (applySing
                                                         (singFun1 (Proxy :: Proxy SuccSym0) SSucc)
                                                         n)
                                              in lambda
                                         SFalse
                                           -> let
                                                lambda ::
                                                  Sing (Case_0123456789 n b a_0123456789 a_0123456789 FalseSym0)
                                                lambda = n
                                              in lambda }
                               in lambda sN sB)))
                   a_0123456789)
                a_0123456789
        in lambda sA_0123456789 sA_0123456789
    sLiftMaybe sF (SJust sX)
      = let
          lambda ::
            forall f x. (t ~ f, t ~ Apply JustSym0 x) =>
            Sing f
            -> Sing x
               -> Sing (Apply (Apply LiftMaybeSym0 f) (Apply JustSym0 x))
          lambda f x
            = applySing
                (singFun1 (Proxy :: Proxy JustSym0) SJust) (applySing f x)
        in lambda sF sX
    sLiftMaybe _ SNothing
      = let
          lambda ::
            forall wild. (t ~ wild, t ~ NothingSym0) =>
            Sing (Apply (Apply LiftMaybeSym0 wild) NothingSym0)
          lambda = SNothing
        in lambda
    sMap _ SNil
      = let
          lambda ::
            forall wild. (t ~ wild, t ~ GHC.Types.[]) =>
            Sing (Apply (Apply MapSym0 wild) GHC.Types.[])
          lambda = SNil
        in lambda
    sMap sF (SCons sH sT)
      = let
          lambda ::
            forall f h t. (t ~ f, t ~ Apply (Apply (:$) h) t) =>
            Sing f
            -> Sing h
               -> Sing t
                  -> Sing (Apply (Apply MapSym0 f) (Apply (Apply (:$) h) t))
          lambda f h t
            = applySing
                (applySing (singFun2 (Proxy :: Proxy (:$)) SCons) (applySing f h))
                (applySing
                   (applySing (singFun2 (Proxy :: Proxy MapSym0) sMap) f) t)
        in lambda sF sH sT
    data instance Sing (z :: Either a b)
      = forall (n :: a). z ~ Left n => SLeft (Sing n) |
        forall (n :: b). z ~ Right n => SRight (Sing n)
    type SEither (z :: Either a b) = Sing z
    instance (SingKind (KProxy :: KProxy a),
              SingKind (KProxy :: KProxy b)) =>
             SingKind (KProxy :: KProxy (Either a b)) where
      type DemoteRep (KProxy :: KProxy (Either a b)) = Either (DemoteRep (KProxy :: KProxy a)) (DemoteRep (KProxy :: KProxy b))
      fromSing (SLeft b) = Left (fromSing b)
      fromSing (SRight b) = Right (fromSing b)
      toSing (Left b)
        = case toSing b :: SomeSing (KProxy :: KProxy a) of {
            SomeSing c -> SomeSing (SLeft c) }
      toSing (Right b)
        = case toSing b :: SomeSing (KProxy :: KProxy b) of {
            SomeSing c -> SomeSing (SRight c) }
    instance SingI n => SingI (Left (n :: a)) where
      sing = SLeft sing
    instance SingI n => SingI (Right (n :: b)) where
      sing = SRight sing