T271.golden

Singletons/T271.hs:(0,0)-(0,0): Splicing declarations
    singletons
      [d| newtype Constant (a :: Type) (b :: Type)
            = Constant a
            deriving (Eq, Ord)
          data Identity :: Type -> Type
            where Identity :: a -> Identity a
            deriving (Eq, Ord) |]
  ======>
    newtype Constant (a :: Type) (b :: Type)
      = Constant a
      deriving (Eq, Ord)
    data Identity :: Type -> Type
      where Identity :: a -> Identity a
      deriving (Eq, Ord)
    type ConstantSym0 :: forall (a :: Type)
                                (b :: Type). (~>) a (Constant a b)
    data ConstantSym0 :: (~>) a (Constant a b)
      where
        ConstantSym0KindInference :: SameKind (Apply ConstantSym0 arg) (ConstantSym1 arg) =>
                                     ConstantSym0 a0123456789876543210
    type instance Apply @a @(Constant a b) ConstantSym0 a0123456789876543210 = Constant a0123456789876543210
    instance SuppressUnusedWarnings ConstantSym0 where
      suppressUnusedWarnings = snd ((,) ConstantSym0KindInference ())
    type ConstantSym1 :: forall (a :: Type) (b :: Type). a
                                                         -> Constant a b
    type family ConstantSym1 @(a :: Type) @(b :: Type) (a0123456789876543210 :: a) :: Constant a b where
      ConstantSym1 a0123456789876543210 = Constant a0123456789876543210
    type IdentitySym0 :: (~>) a (Identity a)
    data IdentitySym0 :: (~>) a (Identity a)
      where
        IdentitySym0KindInference :: SameKind (Apply IdentitySym0 arg) (IdentitySym1 arg) =>
                                     IdentitySym0 a0123456789876543210
    type instance Apply @a @(Identity a) IdentitySym0 a0123456789876543210 = Identity a0123456789876543210
    instance SuppressUnusedWarnings IdentitySym0 where
      suppressUnusedWarnings = snd ((,) IdentitySym0KindInference ())
    type IdentitySym1 :: a -> Identity a
    type family IdentitySym1 @a (a0123456789876543210 :: a) :: Identity a where
      IdentitySym1 a0123456789876543210 = Identity a0123456789876543210
    type TFHelper_0123456789876543210 :: forall a b. Constant a b
                                                     -> Constant a b -> Bool
    type family TFHelper_0123456789876543210 @a @b (a :: Constant a b) (a :: Constant a b) :: Bool where
      TFHelper_0123456789876543210 @a @b (Constant a_0123456789876543210 :: Constant a b) (Constant b_0123456789876543210 :: Constant a b) = Apply (Apply (==@#@$) a_0123456789876543210) b_0123456789876543210
    instance PEq (Constant a b) where
      type (==) a a = TFHelper_0123456789876543210 a a
    type Compare_0123456789876543210 :: forall a b. Constant a b
                                                    -> Constant a b -> Ordering
    type family Compare_0123456789876543210 @a @b (a :: Constant a b) (a :: Constant a b) :: Ordering where
      Compare_0123456789876543210 @a @b (Constant a_0123456789876543210 :: Constant a b) (Constant b_0123456789876543210 :: Constant a b) = Apply (Apply (Apply FoldlSym0 (<>@#@$)) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) NilSym0)
    instance POrd (Constant a b) where
      type Compare a a = Compare_0123456789876543210 a a
    type TFHelper_0123456789876543210 :: forall a. Identity a
                                                   -> Identity a -> Bool
    type family TFHelper_0123456789876543210 @a (a :: Identity a) (a :: Identity a) :: Bool where
      TFHelper_0123456789876543210 @a (Identity a_0123456789876543210 :: Identity a) (Identity b_0123456789876543210 :: Identity a) = Apply (Apply (==@#@$) a_0123456789876543210) b_0123456789876543210
    instance PEq (Identity a) where
      type (==) a a = TFHelper_0123456789876543210 a a
    type Compare_0123456789876543210 :: forall a. Identity a
                                                  -> Identity a -> Ordering
    type family Compare_0123456789876543210 @a (a :: Identity a) (a :: Identity a) :: Ordering where
      Compare_0123456789876543210 @a (Identity a_0123456789876543210 :: Identity a) (Identity b_0123456789876543210 :: Identity a) = Apply (Apply (Apply FoldlSym0 (<>@#@$)) EQSym0) (Apply (Apply (:@#@$) (Apply (Apply CompareSym0 a_0123456789876543210) b_0123456789876543210)) NilSym0)
    instance POrd (Identity a) where
      type Compare a a = Compare_0123456789876543210 a a
    data SConstant :: forall (a :: Type) (b :: Type).
                      Constant a b -> Type
      where
        SConstant :: forall (a :: Type) (b :: Type) (n :: a).
                     (Sing n) -> SConstant (Constant n :: Constant a b)
    type instance Sing @(Constant a b) = SConstant
    instance (SingKind a, SingKind b) => SingKind (Constant a b) where
      type Demote (Constant a b) = Constant (Demote a) (Demote b)
      fromSing (SConstant b) = Constant (fromSing b)
      toSing (Constant (b :: Demote a))
        = (\cases (SomeSing c) -> SomeSing (SConstant c))
            (toSing b :: SomeSing a)
    data SIdentity :: forall (a :: Type). Identity a -> Type
      where
        SIdentity :: forall a (n :: a).
                     (Sing n) -> SIdentity (Identity n :: Identity a)
    type instance Sing @(Identity a) = SIdentity
    instance SingKind a => SingKind (Identity a) where
      type Demote (Identity a) = Identity (Demote a)
      fromSing (SIdentity b) = Identity (fromSing b)
      toSing (Identity (b :: Demote a))
        = (\cases (SomeSing c) -> SomeSing (SIdentity c))
            (toSing b :: SomeSing a)
    instance SEq a => SEq (Constant a b) where
      (%==)
        (SConstant (sA_0123456789876543210 :: Sing a_0123456789876543210))
        (SConstant (sB_0123456789876543210 :: Sing b_0123456789876543210))
        = applySing
            (applySing (singFun2 @(==@#@$) (%==)) sA_0123456789876543210)
            sB_0123456789876543210
    instance SOrd a => SOrd (Constant a b) where
      sCompare
        (SConstant (sA_0123456789876543210 :: Sing a_0123456789876543210))
        (SConstant (sB_0123456789876543210 :: Sing b_0123456789876543210))
        = applySing
            (applySing
               (applySing (singFun3 @FoldlSym0 sFoldl) (singFun2 @(<>@#@$) (%<>)))
               SEQ)
            (applySing
               (applySing
                  (singFun2 @(:@#@$) SCons)
                  (applySing
                     (applySing (singFun2 @CompareSym0 sCompare) sA_0123456789876543210)
                     sB_0123456789876543210))
               SNil)
    instance SEq a => SEq (Identity a) where
      (%==)
        (SIdentity (sA_0123456789876543210 :: Sing a_0123456789876543210))
        (SIdentity (sB_0123456789876543210 :: Sing b_0123456789876543210))
        = applySing
            (applySing (singFun2 @(==@#@$) (%==)) sA_0123456789876543210)
            sB_0123456789876543210
    instance SOrd a => SOrd (Identity a) where
      sCompare
        (SIdentity (sA_0123456789876543210 :: Sing a_0123456789876543210))
        (SIdentity (sB_0123456789876543210 :: Sing b_0123456789876543210))
        = applySing
            (applySing
               (applySing (singFun3 @FoldlSym0 sFoldl) (singFun2 @(<>@#@$) (%<>)))
               SEQ)
            (applySing
               (applySing
                  (singFun2 @(:@#@$) SCons)
                  (applySing
                     (applySing (singFun2 @CompareSym0 sCompare) sA_0123456789876543210)
                     sB_0123456789876543210))
               SNil)
    instance SDecide a => SDecide (Constant a b) where
      (%~) (SConstant a) (SConstant b)
        = (\cases
             (Proved Refl) -> Proved Refl
             (Disproved contra) -> Disproved (\cases Refl -> contra Refl))
            ((%~) a b)
    instance Eq (SConstant (z :: Constant a b)) where
      (==) _ _ = True
    instance SDecide a =>
             GHC.Internal.Data.Type.Equality.TestEquality (SConstant :: Constant a b
                                                                        -> Type) where
      GHC.Internal.Data.Type.Equality.testEquality
        = Data.Singletons.Decide.decideEquality
    instance SDecide a =>
             GHC.Internal.Data.Type.Coercion.TestCoercion (SConstant :: Constant a b
                                                                        -> Type) where
      GHC.Internal.Data.Type.Coercion.testCoercion
        = Data.Singletons.Decide.decideCoercion
    instance SDecide a => SDecide (Identity a) where
      (%~) (SIdentity a) (SIdentity b)
        = (\cases
             (Proved Refl) -> Proved Refl
             (Disproved contra) -> Disproved (\cases Refl -> contra Refl))
            ((%~) a b)
    instance Eq (SIdentity (z :: Identity a)) where
      (==) _ _ = True
    instance SDecide a =>
             GHC.Internal.Data.Type.Equality.TestEquality (SIdentity :: Identity a
                                                                        -> Type) where
      GHC.Internal.Data.Type.Equality.testEquality
        = Data.Singletons.Decide.decideEquality
    instance SDecide a =>
             GHC.Internal.Data.Type.Coercion.TestCoercion (SIdentity :: Identity a
                                                                        -> Type) where
      GHC.Internal.Data.Type.Coercion.testCoercion
        = Data.Singletons.Decide.decideCoercion
    instance Ord (SConstant (z :: Constant a b)) where
      compare _ _ = EQ
    instance Ord (SIdentity (z :: Identity a)) where
      compare _ _ = EQ
    instance SingI n => SingI (Constant (n :: a)) where
      sing = SConstant sing
    instance SingI1 Constant where
      liftSing = SConstant
    instance SingI (ConstantSym0 :: (~>) a (Constant a b)) where
      sing = singFun1 @ConstantSym0 SConstant
    instance SingI n => SingI (Identity (n :: a)) where
      sing = SIdentity sing
    instance SingI1 Identity where
      liftSing = SIdentity
    instance SingI (IdentitySym0 :: (~>) a (Identity a)) where
      sing = singFun1 @IdentitySym0 SIdentity