T443.golden

Singletons/T443.hs:(0,0)-(0,0): Splicing declarations
    withOptions defaultOptions {genSingKindInsts = False}
      $ singletons
          [d| data Nat = Z | S Nat
              data Vec :: Nat -> Type -> Type
                where
                  VNil :: Vec Z a
                  (:>) :: {head :: a, tail :: Vec n a} -> Vec (S n) a |]
  ======>
    data Nat = Z | S Nat
    data Vec :: Nat -> Type -> Type
      where
        VNil :: Vec 'Z a
        (:>) :: {head :: a, tail :: (Vec n a)} -> Vec ('S n) a
    type ZSym0 :: Nat
    type family ZSym0 :: Nat where
      ZSym0 = Z
    type SSym0 :: (~>) Nat Nat
    data SSym0 :: (~>) Nat Nat
      where
        SSym0KindInference :: SameKind (Apply SSym0 arg) (SSym1 arg) =>
                              SSym0 a0123456789876543210
    type instance Apply @Nat @Nat SSym0 a0123456789876543210 = S a0123456789876543210
    instance SuppressUnusedWarnings SSym0 where
      suppressUnusedWarnings = snd ((,) SSym0KindInference ())
    type SSym1 :: Nat -> Nat
    type family SSym1 (a0123456789876543210 :: Nat) :: Nat where
      SSym1 a0123456789876543210 = S a0123456789876543210
    type VNilSym0 :: Vec Z a
    type family VNilSym0 @a :: Vec Z a where
      VNilSym0 = VNil
    type (:>@#@$) :: (~>) a ((~>) (Vec n a) (Vec (S n) a))
    data (:>@#@$) :: (~>) a ((~>) (Vec n a) (Vec (S n) a))
      where
        (::>@#@$###) :: SameKind (Apply (:>@#@$) arg) ((:>@#@$$) arg) =>
                        (:>@#@$) a0123456789876543210
    type instance Apply @a @((~>) (Vec n a) (Vec (S n) a)) (:>@#@$) a0123456789876543210 = (:>@#@$$) a0123456789876543210
    instance SuppressUnusedWarnings (:>@#@$) where
      suppressUnusedWarnings = snd ((,) (::>@#@$###) ())
    type (:>@#@$$) :: a -> (~>) (Vec n a) (Vec (S n) a)
    data (:>@#@$$) (a0123456789876543210 :: a) :: (~>) (Vec n a) (Vec (S n) a)
      where
        (::>@#@$$###) :: SameKind (Apply ((:>@#@$$) a0123456789876543210) arg) ((:>@#@$$$) a0123456789876543210 arg) =>
                         (:>@#@$$) a0123456789876543210 a0123456789876543210
    type instance Apply @(Vec n a) @(Vec (S n) a) ((:>@#@$$) a0123456789876543210) a0123456789876543210 = (:>) a0123456789876543210 a0123456789876543210
    instance SuppressUnusedWarnings ((:>@#@$$) a0123456789876543210) where
      suppressUnusedWarnings = snd ((,) (::>@#@$$###) ())
    type (:>@#@$$$) :: a -> Vec n a -> Vec (S n) a
    type family (:>@#@$$$) @a @n (a0123456789876543210 :: a) (a0123456789876543210 :: Vec n a) :: Vec (S n) a where
      (:>@#@$$$) a0123456789876543210 a0123456789876543210 = (:>) a0123456789876543210 a0123456789876543210
    type TailSym0 :: (~>) (Vec (S n) a) (Vec n a)
    data TailSym0 :: (~>) (Vec (S n) a) (Vec n a)
      where
        TailSym0KindInference :: SameKind (Apply TailSym0 arg) (TailSym1 arg) =>
                                 TailSym0 a0123456789876543210
    type instance Apply @(Vec (S n) a) @(Vec n a) TailSym0 a0123456789876543210 = Tail a0123456789876543210
    instance SuppressUnusedWarnings TailSym0 where
      suppressUnusedWarnings = snd ((,) TailSym0KindInference ())
    type TailSym1 :: Vec (S n) a -> Vec n a
    type family TailSym1 @n @a (a0123456789876543210 :: Vec (S n) a) :: Vec n a where
      TailSym1 a0123456789876543210 = Tail a0123456789876543210
    type HeadSym0 :: (~>) (Vec (S n) a) a
    data HeadSym0 :: (~>) (Vec (S n) a) a
      where
        HeadSym0KindInference :: SameKind (Apply HeadSym0 arg) (HeadSym1 arg) =>
                                 HeadSym0 a0123456789876543210
    type instance Apply @(Vec (S n) a) @a HeadSym0 a0123456789876543210 = Head a0123456789876543210
    instance SuppressUnusedWarnings HeadSym0 where
      suppressUnusedWarnings = snd ((,) HeadSym0KindInference ())
    type HeadSym1 :: Vec (S n) a -> a
    type family HeadSym1 @n @a (a0123456789876543210 :: Vec (S n) a) :: a where
      HeadSym1 a0123456789876543210 = Head a0123456789876543210
    type Tail :: Vec (S n) a -> Vec n a
    type family Tail @n @a (a :: Vec (S n) a) :: Vec n a where
      Tail ((:>) _ field) = field
    type Head :: Vec (S n) a -> a
    type family Head @n @a (a :: Vec (S n) a) :: a where
      Head ((:>) field _) = field
    sTail ::
      (forall (t :: Vec (S n) a).
       Sing t -> Sing (Tail t :: Vec n a) :: Type)
    sHead ::
      (forall (t :: Vec (S n) a). Sing t -> Sing (Head t :: a) :: Type)
    sTail ((:%>) _ (sField :: Sing field)) = sField
    sHead ((:%>) (sField :: Sing field) _) = sField
    instance SingI (TailSym0 :: (~>) (Vec (S n) a) (Vec n a)) where
      sing = singFun1 @TailSym0 sTail
    instance SingI (HeadSym0 :: (~>) (Vec (S n) a) a) where
      sing = singFun1 @HeadSym0 sHead
    data SNat :: Nat -> Type
      where
        SZ :: SNat (Z :: Nat)
        SS :: forall (n :: Nat). (Sing n) -> SNat (S n :: Nat)
    type instance Sing @Nat = SNat
    data SVec :: forall (a :: Nat) (a :: Type). Vec a a -> Type
      where
        SVNil :: forall a. SVec (VNil :: Vec Z a)
        (:%>) :: forall a n (n :: a) (n :: Vec n a).
                 (Sing n) -> (Sing n) -> SVec ((:>) n n :: Vec (S n) a)
    type instance Sing @(Vec a a) = SVec
    instance SingI Z where
      sing = SZ
    instance SingI n => SingI (S (n :: Nat)) where
      sing = SS sing
    instance SingI1 S where
      liftSing = SS
    instance SingI (SSym0 :: (~>) Nat Nat) where
      sing = singFun1 @SSym0 SS
    instance SingI VNil where
      sing = SVNil
    instance (SingI n, SingI n) =>
             SingI ((:>) (n :: a) (n :: Vec n a)) where
      sing = (:%>) sing sing
    instance SingI n => SingI1 ((:>) (n :: a)) where
      liftSing = (:%>) sing
    instance SingI2 (:>) where
      liftSing2 = (:%>)
    instance SingI ((:>@#@$) :: (~>) a ((~>) (Vec n a) (Vec (S n) a))) where
      sing = singFun2 @(:>@#@$) (:%>)
    instance SingI d =>
             SingI ((:>@#@$$) (d :: a) :: (~>) (Vec n a) (Vec (S n) a)) where
      sing = singFun1 @((:>@#@$$) (d :: a)) ((:%>) (sing @d))
    instance SingI1 ((:>@#@$$) :: a
                                  -> (~>) (Vec n a) (Vec (S n) a)) where
      liftSing (s :: Sing (d :: a))
        = singFun1 @((:>@#@$$) (d :: a)) ((:%>) s)