Singletons/PatternMatching.hs:(0,0)-(0,0): Splicing declarations
    singletons
      [d| pr = Pair (Succ Zero) ([Zero])
          complex = Pair (Pair (Just Zero) Zero) False
          tuple = (False, Just Zero, True)
          aList = [Zero, Succ Zero, Succ (Succ Zero)]
          
          data Pair a b
            = Pair a b
            deriving (Show) |]
  ======>
    data Pair a b
      = Pair a b
      deriving (Show)
    pr = Pair (Succ Zero) [Zero]
    complex = Pair (Pair (Just Zero) Zero) False
    tuple = (False, Just Zero, True)
    aList = [Zero, Succ Zero, Succ (Succ Zero)]
    type PairSym2 (t :: a0123456789) (t :: b0123456789) = Pair t t
    instance SuppressUnusedWarnings PairSym1 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) PairSym1KindInference GHC.Tuple.())
    data PairSym1 (l :: a0123456789)
                  (l :: TyFun b0123456789 (Pair a0123456789 b0123456789))
      = forall arg. KindOf (Apply (PairSym1 l) arg) ~ KindOf (PairSym2 l arg) =>
        PairSym1KindInference
    type instance Apply (PairSym1 l) l = PairSym2 l l
    instance SuppressUnusedWarnings PairSym0 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) PairSym0KindInference GHC.Tuple.())
    data PairSym0 (l :: TyFun a0123456789 (TyFun b0123456789 (Pair a0123456789 b0123456789)
                                           -> GHC.Types.Type))
      = forall arg. KindOf (Apply PairSym0 arg) ~ KindOf (PairSym1 arg) =>
        PairSym0KindInference
    type instance Apply PairSym0 l = PairSym1 l
    type AListSym0 = AList
    type TupleSym0 = Tuple
    type ComplexSym0 = Complex
    type PrSym0 = Pr
    type family AList where
      AList = Apply (Apply (:$) ZeroSym0) (Apply (Apply (:$) (Apply SuccSym0 ZeroSym0)) (Apply (Apply (:$) (Apply SuccSym0 (Apply SuccSym0 ZeroSym0))) '[]))
    type family Tuple where
      Tuple = Apply (Apply (Apply Tuple3Sym0 FalseSym0) (Apply JustSym0 ZeroSym0)) TrueSym0
    type family Complex where
      Complex = Apply (Apply PairSym0 (Apply (Apply PairSym0 (Apply JustSym0 ZeroSym0)) ZeroSym0)) FalseSym0
    type family Pr where
      Pr = Apply (Apply PairSym0 (Apply SuccSym0 ZeroSym0)) (Apply (Apply (:$) ZeroSym0) '[])
    sAList :: Sing AListSym0
    sTuple :: Sing TupleSym0
    sComplex :: Sing ComplexSym0
    sPr :: Sing PrSym0
    sAList
      = applySing
          (applySing (singFun2 (Proxy :: Proxy (:$)) SCons) SZero)
          (applySing
             (applySing
                (singFun2 (Proxy :: Proxy (:$)) SCons)
                (applySing (singFun1 (Proxy :: Proxy SuccSym0) SSucc) SZero))
             (applySing
                (applySing
                   (singFun2 (Proxy :: Proxy (:$)) SCons)
                   (applySing
                      (singFun1 (Proxy :: Proxy SuccSym0) SSucc)
                      (applySing (singFun1 (Proxy :: Proxy SuccSym0) SSucc) SZero)))
                SNil))
    sTuple
      = applySing
          (applySing
             (applySing (singFun3 (Proxy :: Proxy Tuple3Sym0) STuple3) SFalse)
             (applySing (singFun1 (Proxy :: Proxy JustSym0) SJust) SZero))
          STrue
    sComplex
      = applySing
          (applySing
             (singFun2 (Proxy :: Proxy PairSym0) SPair)
             (applySing
                (applySing
                   (singFun2 (Proxy :: Proxy PairSym0) SPair)
                   (applySing (singFun1 (Proxy :: Proxy JustSym0) SJust) SZero))
                SZero))
          SFalse
    sPr
      = applySing
          (applySing
             (singFun2 (Proxy :: Proxy PairSym0) SPair)
             (applySing (singFun1 (Proxy :: Proxy SuccSym0) SSucc) SZero))
          (applySing
             (applySing (singFun2 (Proxy :: Proxy (:$)) SCons) SZero) SNil)
    data instance Sing (z :: Pair a b)
      = forall (n :: a) (n :: b). z ~ Pair n n =>
        SPair (Sing (n :: a)) (Sing (n :: b))
    type SPair = (Sing :: Pair a b -> GHC.Types.Type)
    instance (SingKind (KProxy :: KProxy a),
              SingKind (KProxy :: KProxy b)) =>
             SingKind (KProxy :: KProxy (Pair a b)) where
      type DemoteRep (KProxy :: KProxy (Pair a b)) = Pair (DemoteRep (KProxy :: KProxy a)) (DemoteRep (KProxy :: KProxy b))
      fromSing (SPair b b) = Pair (fromSing b) (fromSing b)
      toSing (Pair b b)
        = case
              GHC.Tuple.(,)
                (toSing b :: SomeSing (KProxy :: KProxy a))
                (toSing b :: SomeSing (KProxy :: KProxy b))
          of {
            GHC.Tuple.(,) (SomeSing c) (SomeSing c) -> SomeSing (SPair c c) }
    instance (SingI n, SingI n) => SingI (Pair (n :: a) (n :: b)) where
      sing = SPair sing sing
Singletons/PatternMatching.hs:(0,0)-(0,0): Splicing declarations
    singletons
      [d| Pair sz lz = pr
          Pair (Pair jz zz) fls = complex
          (tf, tjz, tt) = tuple
          [_, lsz, (Succ blimy)] = aList
          lsz :: Nat
          fls :: Bool
          foo1 :: (a, b) -> a
          foo1 (x, y) = (\ _ -> x) y
          foo2 :: (# a, b #) -> a
          foo2 t@(# x, y #) = case t of { (# a, b #) -> (\ _ -> a) b }
          silly :: a -> ()
          silly x = case x of { _ -> () } |]
  ======>
    Pair sz lz = pr
    Pair (Pair jz zz) fls = complex
    (tf, tjz, tt) = tuple
    [_, lsz, Succ blimy] = aList
    lsz :: Nat
    fls :: Bool
    foo1 :: forall a b. (a, b) -> a
    foo1 (x, y) = (\ _ -> x) y
    foo2 :: forall a b. (# a, b #) -> a
    foo2 t@(# x, y #) = case t of { (# a, b #) -> (\ _ -> a) b }
    silly :: forall a. a -> ()
    silly x = case x of { _ -> GHC.Tuple.() }
    type family Case_0123456789 x t where
      Case_0123456789 x _z_0123456789 = Tuple0Sym0
    type Let0123456789TSym2 t t = Let0123456789T t t
    instance SuppressUnusedWarnings Let0123456789TSym1 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) Let0123456789TSym1KindInference GHC.Tuple.())
    data Let0123456789TSym1 l l
      = forall arg. KindOf (Apply (Let0123456789TSym1 l) arg) ~ KindOf (Let0123456789TSym2 l arg) =>
        Let0123456789TSym1KindInference
    type instance Apply (Let0123456789TSym1 l) l = Let0123456789TSym2 l l
    instance SuppressUnusedWarnings Let0123456789TSym0 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) Let0123456789TSym0KindInference GHC.Tuple.())
    data Let0123456789TSym0 l
      = forall arg. KindOf (Apply Let0123456789TSym0 arg) ~ KindOf (Let0123456789TSym1 arg) =>
        Let0123456789TSym0KindInference
    type instance Apply Let0123456789TSym0 l = Let0123456789TSym1 l
    type family Let0123456789T x y where
      Let0123456789T x y = Apply (Apply Tuple2Sym0 x) y
    type family Case_0123456789 x y a b arg_0123456789 t where
      Case_0123456789 x y a b arg_0123456789 _z_0123456789 = a
    type family Lambda_0123456789 x y a b t where
      Lambda_0123456789 x y a b arg_0123456789 = Case_0123456789 x y a b arg_0123456789 arg_0123456789
    type Lambda_0123456789Sym5 t t t t t = Lambda_0123456789 t t t t t
    instance SuppressUnusedWarnings Lambda_0123456789Sym4 where
      suppressUnusedWarnings _
        = snd
            (GHC.Tuple.(,) Lambda_0123456789Sym4KindInference GHC.Tuple.())
    data Lambda_0123456789Sym4 l l l l l
      = forall arg. KindOf (Apply (Lambda_0123456789Sym4 l l l l) arg) ~ KindOf (Lambda_0123456789Sym5 l l l l arg) =>
        Lambda_0123456789Sym4KindInference
    type instance Apply (Lambda_0123456789Sym4 l l l l) l = Lambda_0123456789Sym5 l l l l l
    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 family Case_0123456789 x y t where
      Case_0123456789 x y '(a,
                            b) = Apply (Apply (Apply (Apply (Apply Lambda_0123456789Sym0 x) y) a) b) b
    type family Case_0123456789 x y arg_0123456789 t where
      Case_0123456789 x y arg_0123456789 _z_0123456789 = x
    type family Lambda_0123456789 x y t where
      Lambda_0123456789 x y arg_0123456789 = Case_0123456789 x y arg_0123456789 arg_0123456789
    type Lambda_0123456789Sym3 t t t = Lambda_0123456789 t t t
    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 family Case_0123456789 t where
      Case_0123456789 '[_z_0123456789,
                        y_0123456789,
                        Succ _z_0123456789] = y_0123456789
    type family Case_0123456789 t where
      Case_0123456789 '[_z_0123456789,
                        _z_0123456789,
                        Succ y_0123456789] = y_0123456789
    type family Case_0123456789 t where
      Case_0123456789 '(y_0123456789,
                        _z_0123456789,
                        _z_0123456789) = y_0123456789
    type family Case_0123456789 t where
      Case_0123456789 '(_z_0123456789,
                        y_0123456789,
                        _z_0123456789) = y_0123456789
    type family Case_0123456789 t where
      Case_0123456789 '(_z_0123456789,
                        _z_0123456789,
                        y_0123456789) = y_0123456789
    type family Case_0123456789 t where
      Case_0123456789 (Pair (Pair y_0123456789 _z_0123456789) _z_0123456789) = y_0123456789
    type family Case_0123456789 t where
      Case_0123456789 (Pair (Pair _z_0123456789 y_0123456789) _z_0123456789) = y_0123456789
    type family Case_0123456789 t where
      Case_0123456789 (Pair (Pair _z_0123456789 _z_0123456789) y_0123456789) = y_0123456789
    type family Case_0123456789 t where
      Case_0123456789 (Pair y_0123456789 _z_0123456789) = y_0123456789
    type family Case_0123456789 t where
      Case_0123456789 (Pair _z_0123456789 y_0123456789) = y_0123456789
    type SillySym1 (t :: a0123456789) = Silly t
    instance SuppressUnusedWarnings SillySym0 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) SillySym0KindInference GHC.Tuple.())
    data SillySym0 (l :: TyFun a0123456789 ())
      = forall arg. KindOf (Apply SillySym0 arg) ~ KindOf (SillySym1 arg) =>
        SillySym0KindInference
    type instance Apply SillySym0 l = SillySym1 l
    type Foo2Sym1 (t :: (a0123456789, b0123456789)) = Foo2 t
    instance SuppressUnusedWarnings Foo2Sym0 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) Foo2Sym0KindInference GHC.Tuple.())
    data Foo2Sym0 (l :: TyFun (a0123456789, b0123456789) a0123456789)
      = forall arg. KindOf (Apply Foo2Sym0 arg) ~ KindOf (Foo2Sym1 arg) =>
        Foo2Sym0KindInference
    type instance Apply Foo2Sym0 l = Foo2Sym1 l
    type Foo1Sym1 (t :: (a0123456789, b0123456789)) = Foo1 t
    instance SuppressUnusedWarnings Foo1Sym0 where
      suppressUnusedWarnings _
        = snd (GHC.Tuple.(,) Foo1Sym0KindInference GHC.Tuple.())
    data Foo1Sym0 (l :: TyFun (a0123456789, b0123456789) a0123456789)
      = forall arg. KindOf (Apply Foo1Sym0 arg) ~ KindOf (Foo1Sym1 arg) =>
        Foo1Sym0KindInference
    type instance Apply Foo1Sym0 l = Foo1Sym1 l
    type LszSym0 = Lsz
    type BlimySym0 = Blimy
    type TfSym0 = Tf
    type TjzSym0 = Tjz
    type TtSym0 = Tt
    type JzSym0 = Jz
    type ZzSym0 = Zz
    type FlsSym0 = Fls
    type SzSym0 = Sz
    type LzSym0 = Lz
    type X_0123456789Sym0 = X_0123456789
    type X_0123456789Sym0 = X_0123456789
    type X_0123456789Sym0 = X_0123456789
    type X_0123456789Sym0 = X_0123456789
    type family Silly (a :: a) :: () where
      Silly x = Case_0123456789 x x
    type family Foo2 (a :: (a, b)) :: a where
      Foo2 '(x, y) = Case_0123456789 x y (Let0123456789TSym2 x y)
    type family Foo1 (a :: (a, b)) :: a where
      Foo1 '(x, y) = Apply (Apply (Apply Lambda_0123456789Sym0 x) y) y
    type family Lsz :: Nat where
      Lsz = Case_0123456789 X_0123456789Sym0
    type family Blimy where
      Blimy = Case_0123456789 X_0123456789Sym0
    type family Tf where
      Tf = Case_0123456789 X_0123456789Sym0
    type family Tjz where
      Tjz = Case_0123456789 X_0123456789Sym0
    type family Tt where
      Tt = Case_0123456789 X_0123456789Sym0
    type family Jz where
      Jz = Case_0123456789 X_0123456789Sym0
    type family Zz where
      Zz = Case_0123456789 X_0123456789Sym0
    type family Fls :: Bool where
      Fls = Case_0123456789 X_0123456789Sym0
    type family Sz where
      Sz = Case_0123456789 X_0123456789Sym0
    type family Lz where
      Lz = Case_0123456789 X_0123456789Sym0
    type family X_0123456789 where
      X_0123456789 = PrSym0
    type family X_0123456789 where
      X_0123456789 = ComplexSym0
    type family X_0123456789 where
      X_0123456789 = TupleSym0
    type family X_0123456789 where
      X_0123456789 = AListSym0
    sSilly :: forall (t :: a). Sing t -> Sing (Apply SillySym0 t :: ())
    sFoo2 ::
      forall (t :: (a, b)). Sing t -> Sing (Apply Foo2Sym0 t :: a)
    sFoo1 ::
      forall (t :: (a, b)). Sing t -> Sing (Apply Foo1Sym0 t :: a)
    sLsz :: Sing (LszSym0 :: Nat)
    sBlimy :: Sing BlimySym0
    sTf :: Sing TfSym0
    sTjz :: Sing TjzSym0
    sTt :: Sing TtSym0
    sJz :: Sing JzSym0
    sZz :: Sing ZzSym0
    sFls :: Sing (FlsSym0 :: Bool)
    sSz :: Sing SzSym0
    sLz :: Sing LzSym0
    sX_0123456789 :: Sing X_0123456789Sym0
    sX_0123456789 :: Sing X_0123456789Sym0
    sX_0123456789 :: Sing X_0123456789Sym0
    sX_0123456789 :: Sing X_0123456789Sym0
    sSilly sX
      = let
          lambda ::
            forall x. t ~ x => Sing x -> Sing (Apply SillySym0 t :: ())
          lambda x
            = case x of {
                _s_z_0123456789
                  -> let
                       lambda ::
                         forall _z_0123456789.
                         _z_0123456789 ~ x =>
                         Sing _z_0123456789 -> Sing (Case_0123456789 x _z_0123456789 :: ())
                       lambda _z_0123456789 = STuple0
                     in lambda _s_z_0123456789 } ::
                Sing (Case_0123456789 x x :: ())
        in lambda sX
    sFoo2 (STuple2 sX sY)
      = let
          lambda ::
            forall x y.
            t ~ Apply (Apply Tuple2Sym0 x) y =>
            Sing x -> Sing y -> Sing (Apply Foo2Sym0 t :: a)
          lambda x y
            = let
                sT :: Sing (Let0123456789TSym2 x y)
                sT
                  = applySing
                      (applySing (singFun2 (Proxy :: Proxy Tuple2Sym0) STuple2) x) y
              in  case sT of {
                    STuple2 sA sB
                      -> let
                           lambda ::
                             forall a b.
                             Apply (Apply Tuple2Sym0 a) b ~ Let0123456789TSym2 x y =>
                             Sing a
                             -> Sing b
                                -> Sing (Case_0123456789 x y (Apply (Apply Tuple2Sym0 a) b) :: a)
                           lambda a b
                             = applySing
                                 (singFun1
                                    (Proxy ::
                                       Proxy (Apply (Apply (Apply (Apply Lambda_0123456789Sym0 x) y) a) b))
                                    (\ sArg_0123456789
                                       -> let
                                            lambda ::
                                              forall arg_0123456789.
                                              Sing arg_0123456789
                                              -> Sing (Apply (Apply (Apply (Apply (Apply Lambda_0123456789Sym0 x) y) a) b) arg_0123456789)
                                            lambda arg_0123456789
                                              = case arg_0123456789 of {
                                                  _s_z_0123456789
                                                    -> let
                                                         lambda ::
                                                           forall _z_0123456789.
                                                           _z_0123456789 ~ arg_0123456789 =>
                                                           Sing _z_0123456789
                                                           -> Sing (Case_0123456789 x y a b arg_0123456789 _z_0123456789)
                                                         lambda _z_0123456789 = a
                                                       in lambda _s_z_0123456789 } ::
                                                  Sing (Case_0123456789 x y a b arg_0123456789 arg_0123456789)
                                          in lambda sArg_0123456789))
                                 b
                         in lambda sA sB } ::
                    Sing (Case_0123456789 x y (Let0123456789TSym2 x y) :: a)
        in lambda sX sY
    sFoo1 (STuple2 sX sY)
      = let
          lambda ::
            forall x y.
            t ~ Apply (Apply Tuple2Sym0 x) y =>
            Sing x -> Sing y -> Sing (Apply Foo1Sym0 t :: a)
          lambda x y
            = applySing
                (singFun1
                   (Proxy :: Proxy (Apply (Apply Lambda_0123456789Sym0 x) y))
                   (\ sArg_0123456789
                      -> let
                           lambda ::
                             forall arg_0123456789.
                             Sing arg_0123456789
                             -> Sing (Apply (Apply (Apply Lambda_0123456789Sym0 x) y) arg_0123456789)
                           lambda arg_0123456789
                             = case arg_0123456789 of {
                                 _s_z_0123456789
                                   -> let
                                        lambda ::
                                          forall _z_0123456789.
                                          _z_0123456789 ~ arg_0123456789 =>
                                          Sing _z_0123456789
                                          -> Sing (Case_0123456789 x y arg_0123456789 _z_0123456789)
                                        lambda _z_0123456789 = x
                                      in lambda _s_z_0123456789 } ::
                                 Sing (Case_0123456789 x y arg_0123456789 arg_0123456789)
                         in lambda sArg_0123456789))
                y
        in lambda sX sY
    sLsz
      = case sX_0123456789 of {
          SCons _s_z_0123456789
                (SCons sY_0123456789 (SCons (SSucc _s_z_0123456789) SNil))
            -> let
                 lambda ::
                   forall _z_0123456789 y_0123456789 _z_0123456789.
                   Apply (Apply (:$) _z_0123456789) (Apply (Apply (:$) y_0123456789) (Apply (Apply (:$) (Apply SuccSym0 _z_0123456789)) '[])) ~ X_0123456789Sym0 =>
                   Sing _z_0123456789
                   -> Sing y_0123456789
                      -> Sing _z_0123456789
                         -> Sing (Case_0123456789 (Apply (Apply (:$) _z_0123456789) (Apply (Apply (:$) y_0123456789) (Apply (Apply (:$) (Apply SuccSym0 _z_0123456789)) '[]))) :: Nat)
                 lambda _z_0123456789 y_0123456789 _z_0123456789 = y_0123456789
               in lambda _s_z_0123456789 sY_0123456789 _s_z_0123456789 } ::
          Sing (Case_0123456789 X_0123456789Sym0 :: Nat)
    sBlimy
      = case sX_0123456789 of {
          SCons _s_z_0123456789
                (SCons _s_z_0123456789 (SCons (SSucc sY_0123456789) SNil))
            -> let
                 lambda ::
                   forall _z_0123456789 _z_0123456789 y_0123456789.
                   Apply (Apply (:$) _z_0123456789) (Apply (Apply (:$) _z_0123456789) (Apply (Apply (:$) (Apply SuccSym0 y_0123456789)) '[])) ~ X_0123456789Sym0 =>
                   Sing _z_0123456789
                   -> Sing _z_0123456789
                      -> Sing y_0123456789
                         -> Sing (Case_0123456789 (Apply (Apply (:$) _z_0123456789) (Apply (Apply (:$) _z_0123456789) (Apply (Apply (:$) (Apply SuccSym0 y_0123456789)) '[]))))
                 lambda _z_0123456789 _z_0123456789 y_0123456789 = y_0123456789
               in lambda _s_z_0123456789 _s_z_0123456789 sY_0123456789 } ::
          Sing (Case_0123456789 X_0123456789Sym0)
    sTf
      = case sX_0123456789 of {
          STuple3 sY_0123456789 _s_z_0123456789 _s_z_0123456789
            -> let
                 lambda ::
                   forall y_0123456789 _z_0123456789 _z_0123456789.
                   Apply (Apply (Apply Tuple3Sym0 y_0123456789) _z_0123456789) _z_0123456789 ~ X_0123456789Sym0 =>
                   Sing y_0123456789
                   -> Sing _z_0123456789
                      -> Sing _z_0123456789
                         -> Sing (Case_0123456789 (Apply (Apply (Apply Tuple3Sym0 y_0123456789) _z_0123456789) _z_0123456789))
                 lambda y_0123456789 _z_0123456789 _z_0123456789 = y_0123456789
               in lambda sY_0123456789 _s_z_0123456789 _s_z_0123456789 } ::
          Sing (Case_0123456789 X_0123456789Sym0)
    sTjz
      = case sX_0123456789 of {
          STuple3 _s_z_0123456789 sY_0123456789 _s_z_0123456789
            -> let
                 lambda ::
                   forall _z_0123456789 y_0123456789 _z_0123456789.
                   Apply (Apply (Apply Tuple3Sym0 _z_0123456789) y_0123456789) _z_0123456789 ~ X_0123456789Sym0 =>
                   Sing _z_0123456789
                   -> Sing y_0123456789
                      -> Sing _z_0123456789
                         -> Sing (Case_0123456789 (Apply (Apply (Apply Tuple3Sym0 _z_0123456789) y_0123456789) _z_0123456789))
                 lambda _z_0123456789 y_0123456789 _z_0123456789 = y_0123456789
               in lambda _s_z_0123456789 sY_0123456789 _s_z_0123456789 } ::
          Sing (Case_0123456789 X_0123456789Sym0)
    sTt
      = case sX_0123456789 of {
          STuple3 _s_z_0123456789 _s_z_0123456789 sY_0123456789
            -> let
                 lambda ::
                   forall _z_0123456789 _z_0123456789 y_0123456789.
                   Apply (Apply (Apply Tuple3Sym0 _z_0123456789) _z_0123456789) y_0123456789 ~ X_0123456789Sym0 =>
                   Sing _z_0123456789
                   -> Sing _z_0123456789
                      -> Sing y_0123456789
                         -> Sing (Case_0123456789 (Apply (Apply (Apply Tuple3Sym0 _z_0123456789) _z_0123456789) y_0123456789))
                 lambda _z_0123456789 _z_0123456789 y_0123456789 = y_0123456789
               in lambda _s_z_0123456789 _s_z_0123456789 sY_0123456789 } ::
          Sing (Case_0123456789 X_0123456789Sym0)
    sJz
      = case sX_0123456789 of {
          SPair (SPair sY_0123456789 _s_z_0123456789) _s_z_0123456789
            -> let
                 lambda ::
                   forall y_0123456789 _z_0123456789 _z_0123456789.
                   Apply (Apply PairSym0 (Apply (Apply PairSym0 y_0123456789) _z_0123456789)) _z_0123456789 ~ X_0123456789Sym0 =>
                   Sing y_0123456789
                   -> Sing _z_0123456789
                      -> Sing _z_0123456789
                         -> Sing (Case_0123456789 (Apply (Apply PairSym0 (Apply (Apply PairSym0 y_0123456789) _z_0123456789)) _z_0123456789))
                 lambda y_0123456789 _z_0123456789 _z_0123456789 = y_0123456789
               in lambda sY_0123456789 _s_z_0123456789 _s_z_0123456789 } ::
          Sing (Case_0123456789 X_0123456789Sym0)
    sZz
      = case sX_0123456789 of {
          SPair (SPair _s_z_0123456789 sY_0123456789) _s_z_0123456789
            -> let
                 lambda ::
                   forall _z_0123456789 y_0123456789 _z_0123456789.
                   Apply (Apply PairSym0 (Apply (Apply PairSym0 _z_0123456789) y_0123456789)) _z_0123456789 ~ X_0123456789Sym0 =>
                   Sing _z_0123456789
                   -> Sing y_0123456789
                      -> Sing _z_0123456789
                         -> Sing (Case_0123456789 (Apply (Apply PairSym0 (Apply (Apply PairSym0 _z_0123456789) y_0123456789)) _z_0123456789))
                 lambda _z_0123456789 y_0123456789 _z_0123456789 = y_0123456789
               in lambda _s_z_0123456789 sY_0123456789 _s_z_0123456789 } ::
          Sing (Case_0123456789 X_0123456789Sym0)
    sFls
      = case sX_0123456789 of {
          SPair (SPair _s_z_0123456789 _s_z_0123456789) sY_0123456789
            -> let
                 lambda ::
                   forall _z_0123456789 _z_0123456789 y_0123456789.
                   Apply (Apply PairSym0 (Apply (Apply PairSym0 _z_0123456789) _z_0123456789)) y_0123456789 ~ X_0123456789Sym0 =>
                   Sing _z_0123456789
                   -> Sing _z_0123456789
                      -> Sing y_0123456789
                         -> Sing (Case_0123456789 (Apply (Apply PairSym0 (Apply (Apply PairSym0 _z_0123456789) _z_0123456789)) y_0123456789) :: Bool)
                 lambda _z_0123456789 _z_0123456789 y_0123456789 = y_0123456789
               in lambda _s_z_0123456789 _s_z_0123456789 sY_0123456789 } ::
          Sing (Case_0123456789 X_0123456789Sym0 :: Bool)
    sSz
      = case sX_0123456789 of {
          SPair sY_0123456789 _s_z_0123456789
            -> let
                 lambda ::
                   forall y_0123456789 _z_0123456789.
                   Apply (Apply PairSym0 y_0123456789) _z_0123456789 ~ X_0123456789Sym0 =>
                   Sing y_0123456789
                   -> Sing _z_0123456789
                      -> Sing (Case_0123456789 (Apply (Apply PairSym0 y_0123456789) _z_0123456789))
                 lambda y_0123456789 _z_0123456789 = y_0123456789
               in lambda sY_0123456789 _s_z_0123456789 } ::
          Sing (Case_0123456789 X_0123456789Sym0)
    sLz
      = case sX_0123456789 of {
          SPair _s_z_0123456789 sY_0123456789
            -> let
                 lambda ::
                   forall _z_0123456789 y_0123456789.
                   Apply (Apply PairSym0 _z_0123456789) y_0123456789 ~ X_0123456789Sym0 =>
                   Sing _z_0123456789
                   -> Sing y_0123456789
                      -> Sing (Case_0123456789 (Apply (Apply PairSym0 _z_0123456789) y_0123456789))
                 lambda _z_0123456789 y_0123456789 = y_0123456789
               in lambda _s_z_0123456789 sY_0123456789 } ::
          Sing (Case_0123456789 X_0123456789Sym0)
    sX_0123456789 = sPr
    sX_0123456789 = sComplex
    sX_0123456789 = sTuple
    sX_0123456789 = sAList