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singletons-2.4: tests/compile-and-dump/Singletons/LetStatements.ghc84.template

Singletons/LetStatements.hs:(0,0)-(0,0): Splicing declarations
    singletons
      [d| foo1 :: Nat -> Nat
          foo1 x
            = let
                y :: Nat
                y = Succ Zero
              in y
          foo2 :: Nat
          foo2
            = let
                y = Succ Zero
                z = Succ y
              in z
          foo3 :: Nat -> Nat
          foo3 x
            = let
                y :: Nat
                y = Succ x
              in y
          foo4 :: Nat -> Nat
          foo4 x
            = let
                f :: Nat -> Nat
                f y = Succ y
              in f x
          foo5 :: Nat -> Nat
          foo5 x
            = let
                f :: Nat -> Nat
                f y
                  = let
                      z :: Nat
                      z = Succ y
                    in Succ z
              in f x
          foo6 :: Nat -> Nat
          foo6 x
            = let
                f :: Nat -> Nat
                f y = Succ y in
              let
                z :: Nat
                z = f x
              in z
          foo7 :: Nat -> Nat
          foo7 x
            = let
                x :: Nat
                x = Zero
              in x
          foo8 :: Nat -> Nat
          foo8 x
            = let
                z :: Nat
                z = (\ x -> x) Zero
              in z
          foo9 :: Nat -> Nat
          foo9 x
            = let
                z :: Nat -> Nat
                z = (\ x -> x)
              in z x
          foo10 :: Nat -> Nat
          foo10 x
            = let
                (+) :: Nat -> Nat -> Nat
                Zero + m = m
                (Succ n) + m = Succ (n + m)
              in (Succ Zero) + x
          foo11 :: Nat -> Nat
          foo11 x
            = let
                (+) :: Nat -> Nat -> Nat
                Zero + m = m
                (Succ n) + m = Succ (n + m)
                z :: Nat
                z = x
              in (Succ Zero) + z
          foo12 :: Nat -> Nat
          foo12 x
            = let
                (+) :: Nat -> Nat -> Nat
                Zero + m = m
                (Succ n) + m = Succ (n + x)
              in x + (Succ (Succ Zero))
          foo13 :: forall a. a -> a
          foo13 x
            = let
                bar :: a
                bar = x
              in foo13_ bar
          foo13_ :: a -> a
          foo13_ y = y
          foo14 :: Nat -> (Nat, Nat)
          foo14 x = let (y, z) = (Succ x, x) in (z, y) |]
  ======>
    foo1 :: Nat -> Nat
    foo1 x
      = let
          y :: Nat
          y = Succ Zero
        in y
    foo2 :: Nat
    foo2
      = let
          y = Succ Zero
          z = Succ y
        in z
    foo3 :: Nat -> Nat
    foo3 x
      = let
          y :: Nat
          y = Succ x
        in y
    foo4 :: Nat -> Nat
    foo4 x
      = let
          f :: Nat -> Nat
          f y = Succ y
        in f x
    foo5 :: Nat -> Nat
    foo5 x
      = let
          f :: Nat -> Nat
          f y
            = let
                z :: Nat
                z = Succ y
              in Succ z
        in f x
    foo6 :: Nat -> Nat
    foo6 x
      = let
          f :: Nat -> Nat
          f y = Succ y in
        let
          z :: Nat
          z = f x
        in z
    foo7 :: Nat -> Nat
    foo7 x
      = let
          x :: Nat
          x = Zero
        in x
    foo8 :: Nat -> Nat
    foo8 x
      = let
          z :: Nat
          z = (\ x -> x) Zero
        in z
    foo9 :: Nat -> Nat
    foo9 x
      = let
          z :: Nat -> Nat
          z = \ x -> x
        in z x
    foo10 :: Nat -> Nat
    foo10 x
      = let
          (+) :: Nat -> Nat -> Nat
          (+) Zero m = m
          (+) (Succ n) m = Succ (n + m)
        in ((Succ Zero) + x)
    foo11 :: Nat -> Nat
    foo11 x
      = let
          (+) :: Nat -> Nat -> Nat
          z :: Nat
          (+) Zero m = m
          (+) (Succ n) m = Succ (n + m)
          z = x
        in ((Succ Zero) + z)
    foo12 :: Nat -> Nat
    foo12 x
      = let
          (+) :: Nat -> Nat -> Nat
          (+) Zero m = m
          (+) (Succ n) m = Succ (n + x)
        in (x + (Succ (Succ Zero)))
    foo13 :: forall a. a -> a
    foo13 x
      = let
          bar :: a
          bar = x
        in foo13_ bar
    foo13_ :: a -> a
    foo13_ y = y
    foo14 :: Nat -> (Nat, Nat)
    foo14 x = let (y, z) = (Succ x, x) in (z, y)
    type family Case_0123456789876543210 x t where
      Case_0123456789876543210 x '(y_0123456789876543210,
                                   _) = y_0123456789876543210
    type family Case_0123456789876543210 x t where
      Case_0123456789876543210 x '(_,
                                   y_0123456789876543210) = y_0123456789876543210
    type Let0123456789876543210YSym1 t = Let0123456789876543210Y t
    instance SuppressUnusedWarnings Let0123456789876543210YSym0 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Let0123456789876543210YSym0KindInference)
               GHC.Tuple.())
    data Let0123456789876543210YSym0 l
      = forall arg. SameKind (Apply Let0123456789876543210YSym0 arg) (Let0123456789876543210YSym1 arg) =>
        Let0123456789876543210YSym0KindInference
    type instance Apply Let0123456789876543210YSym0 l = Let0123456789876543210Y l
    type Let0123456789876543210ZSym1 t = Let0123456789876543210Z t
    instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Let0123456789876543210ZSym0KindInference)
               GHC.Tuple.())
    data Let0123456789876543210ZSym0 l
      = forall arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>
        Let0123456789876543210ZSym0KindInference
    type instance Apply Let0123456789876543210ZSym0 l = Let0123456789876543210Z l
    type Let0123456789876543210X_0123456789876543210Sym1 t =
        Let0123456789876543210X_0123456789876543210 t
    instance SuppressUnusedWarnings Let0123456789876543210X_0123456789876543210Sym0 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,)
                Let0123456789876543210X_0123456789876543210Sym0KindInference)
               GHC.Tuple.())
    data Let0123456789876543210X_0123456789876543210Sym0 l
      = forall arg. SameKind (Apply Let0123456789876543210X_0123456789876543210Sym0 arg) (Let0123456789876543210X_0123456789876543210Sym1 arg) =>
        Let0123456789876543210X_0123456789876543210Sym0KindInference
    type instance Apply Let0123456789876543210X_0123456789876543210Sym0 l = Let0123456789876543210X_0123456789876543210 l
    type family Let0123456789876543210Y x where
      Let0123456789876543210Y x = Case_0123456789876543210 x (Let0123456789876543210X_0123456789876543210Sym1 x)
    type family Let0123456789876543210Z x where
      Let0123456789876543210Z x = Case_0123456789876543210 x (Let0123456789876543210X_0123456789876543210Sym1 x)
    type family Let0123456789876543210X_0123456789876543210 x where
      Let0123456789876543210X_0123456789876543210 x = Apply (Apply Tuple2Sym0 (Apply SuccSym0 x)) x
    type Let0123456789876543210BarSym1 t = Let0123456789876543210Bar t
    instance SuppressUnusedWarnings Let0123456789876543210BarSym0 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Let0123456789876543210BarSym0KindInference)
               GHC.Tuple.())
    data Let0123456789876543210BarSym0 l
      = forall arg. SameKind (Apply Let0123456789876543210BarSym0 arg) (Let0123456789876543210BarSym1 arg) =>
        Let0123456789876543210BarSym0KindInference
    type instance Apply Let0123456789876543210BarSym0 l = Let0123456789876543210Bar l
    type family Let0123456789876543210Bar x :: a where
      Let0123456789876543210Bar x = x
    type (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$$) t (t :: Nat) (t :: Nat) =
        (<<<%%%%%%%%%%%%%%%%%%%%) t t t
    instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$$###)) GHC.Tuple.())
    data (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l (l :: Nat) (l :: TyFun Nat Nat)
      = forall arg. SameKind (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l l) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$$) l l arg) =>
        (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$$###)
    type instance Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l l) l = (<<<%%%%%%%%%%%%%%%%%%%%) l l l
    instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$###)) GHC.Tuple.())
    data (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l (l :: TyFun Nat (TyFun Nat Nat
                                                           -> GHC.Types.Type))
      = forall arg. SameKind (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l arg) =>
        (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$###)
    type instance Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l) l = (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l l
    instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$) where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$###)) GHC.Tuple.())
    data (<<<%%%%%%%%%%%%%%%%%%%%@#@$) l
      = forall arg. SameKind (Apply (<<<%%%%%%%%%%%%%%%%%%%%@#@$) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) arg) =>
        (:<<<%%%%%%%%%%%%%%%%%%%%@#@$###)
    type instance Apply (<<<%%%%%%%%%%%%%%%%%%%%@#@$) l = (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l
    type family (<<<%%%%%%%%%%%%%%%%%%%%) x (a :: Nat) (a :: Nat) :: Nat where
      (<<<%%%%%%%%%%%%%%%%%%%%) x Zero m = m
      (<<<%%%%%%%%%%%%%%%%%%%%) x (Succ n) m = Apply SuccSym0 (Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) n) x)
    type Let0123456789876543210ZSym1 t = Let0123456789876543210Z t
    instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Let0123456789876543210ZSym0KindInference)
               GHC.Tuple.())
    data Let0123456789876543210ZSym0 l
      = forall arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>
        Let0123456789876543210ZSym0KindInference
    type instance Apply Let0123456789876543210ZSym0 l = Let0123456789876543210Z l
    type (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$$) t (t :: Nat) (t :: Nat) =
        (<<<%%%%%%%%%%%%%%%%%%%%) t t t
    instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$$###)) GHC.Tuple.())
    data (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l (l :: Nat) (l :: TyFun Nat Nat)
      = forall arg. SameKind (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l l) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$$) l l arg) =>
        (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$$###)
    type instance Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l l) l = (<<<%%%%%%%%%%%%%%%%%%%%) l l l
    instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$###)) GHC.Tuple.())
    data (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l (l :: TyFun Nat (TyFun Nat Nat
                                                           -> GHC.Types.Type))
      = forall arg. SameKind (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l arg) =>
        (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$###)
    type instance Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l) l = (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l l
    instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$) where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$###)) GHC.Tuple.())
    data (<<<%%%%%%%%%%%%%%%%%%%%@#@$) l
      = forall arg. SameKind (Apply (<<<%%%%%%%%%%%%%%%%%%%%@#@$) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) arg) =>
        (:<<<%%%%%%%%%%%%%%%%%%%%@#@$###)
    type instance Apply (<<<%%%%%%%%%%%%%%%%%%%%@#@$) l = (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l
    type family Let0123456789876543210Z x :: Nat where
      Let0123456789876543210Z x = x
    type family (<<<%%%%%%%%%%%%%%%%%%%%) x (a :: Nat) (a :: Nat) :: Nat where
      (<<<%%%%%%%%%%%%%%%%%%%%) x Zero m = m
      (<<<%%%%%%%%%%%%%%%%%%%%) x (Succ n) m = Apply SuccSym0 (Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) n) m)
    type (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$$) t (t :: Nat) (t :: Nat) =
        (<<<%%%%%%%%%%%%%%%%%%%%) t t t
    instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$$###)) GHC.Tuple.())
    data (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l (l :: Nat) (l :: TyFun Nat Nat)
      = forall arg. SameKind (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l l) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$$) l l arg) =>
        (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$$###)
    type instance Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l l) l = (<<<%%%%%%%%%%%%%%%%%%%%) l l l
    instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$###)) GHC.Tuple.())
    data (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l (l :: TyFun Nat (TyFun Nat Nat
                                                           -> GHC.Types.Type))
      = forall arg. SameKind (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l arg) =>
        (:<<<%%%%%%%%%%%%%%%%%%%%@#@$$###)
    type instance Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l) l = (<<<%%%%%%%%%%%%%%%%%%%%@#@$$$) l l
    instance SuppressUnusedWarnings (<<<%%%%%%%%%%%%%%%%%%%%@#@$) where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) (:<<<%%%%%%%%%%%%%%%%%%%%@#@$###)) GHC.Tuple.())
    data (<<<%%%%%%%%%%%%%%%%%%%%@#@$) l
      = forall arg. SameKind (Apply (<<<%%%%%%%%%%%%%%%%%%%%@#@$) arg) ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) arg) =>
        (:<<<%%%%%%%%%%%%%%%%%%%%@#@$###)
    type instance Apply (<<<%%%%%%%%%%%%%%%%%%%%@#@$) l = (<<<%%%%%%%%%%%%%%%%%%%%@#@$$) l
    type family (<<<%%%%%%%%%%%%%%%%%%%%) x (a :: Nat) (a :: Nat) :: Nat where
      (<<<%%%%%%%%%%%%%%%%%%%%) x Zero m = m
      (<<<%%%%%%%%%%%%%%%%%%%%) x (Succ n) m = Apply SuccSym0 (Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) n) m)
    type family Lambda_0123456789876543210 x a_0123456789876543210 t where
      Lambda_0123456789876543210 x a_0123456789876543210 x = x
    type Lambda_0123456789876543210Sym3 t t t =
        Lambda_0123456789876543210 t t t
    instance SuppressUnusedWarnings Lambda_0123456789876543210Sym2 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Lambda_0123456789876543210Sym2KindInference)
               GHC.Tuple.())
    data Lambda_0123456789876543210Sym2 l l l
      = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym2 l l) arg) (Lambda_0123456789876543210Sym3 l l arg) =>
        Lambda_0123456789876543210Sym2KindInference
    type instance Apply (Lambda_0123456789876543210Sym2 l l) l = Lambda_0123456789876543210 l l l
    instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)
               GHC.Tuple.())
    data Lambda_0123456789876543210Sym1 l l
      = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>
        Lambda_0123456789876543210Sym1KindInference
    type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210Sym2 l l
    instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)
               GHC.Tuple.())
    data Lambda_0123456789876543210Sym0 l
      = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>
        Lambda_0123456789876543210Sym0KindInference
    type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l
    type Let0123456789876543210ZSym2 t (t :: Nat) =
        Let0123456789876543210Z t t
    instance SuppressUnusedWarnings Let0123456789876543210ZSym1 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Let0123456789876543210ZSym1KindInference)
               GHC.Tuple.())
    data Let0123456789876543210ZSym1 l (l :: TyFun Nat Nat)
      = forall arg. SameKind (Apply (Let0123456789876543210ZSym1 l) arg) (Let0123456789876543210ZSym2 l arg) =>
        Let0123456789876543210ZSym1KindInference
    type instance Apply (Let0123456789876543210ZSym1 l) l = Let0123456789876543210Z l l
    instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Let0123456789876543210ZSym0KindInference)
               GHC.Tuple.())
    data Let0123456789876543210ZSym0 l
      = forall arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>
        Let0123456789876543210ZSym0KindInference
    type instance Apply Let0123456789876543210ZSym0 l = Let0123456789876543210ZSym1 l
    type family Let0123456789876543210Z x (a :: Nat) :: Nat where
      Let0123456789876543210Z x a_0123456789876543210 = Apply (Apply (Apply Lambda_0123456789876543210Sym0 x) a_0123456789876543210) a_0123456789876543210
    type family Lambda_0123456789876543210 x t where
      Lambda_0123456789876543210 x x = x
    type Lambda_0123456789876543210Sym2 t t =
        Lambda_0123456789876543210 t t
    instance SuppressUnusedWarnings Lambda_0123456789876543210Sym1 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Lambda_0123456789876543210Sym1KindInference)
               GHC.Tuple.())
    data Lambda_0123456789876543210Sym1 l l
      = forall arg. SameKind (Apply (Lambda_0123456789876543210Sym1 l) arg) (Lambda_0123456789876543210Sym2 l arg) =>
        Lambda_0123456789876543210Sym1KindInference
    type instance Apply (Lambda_0123456789876543210Sym1 l) l = Lambda_0123456789876543210 l l
    instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)
               GHC.Tuple.())
    data Lambda_0123456789876543210Sym0 l
      = forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>
        Lambda_0123456789876543210Sym0KindInference
    type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210Sym1 l
    type Let0123456789876543210ZSym1 t = Let0123456789876543210Z t
    instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Let0123456789876543210ZSym0KindInference)
               GHC.Tuple.())
    data Let0123456789876543210ZSym0 l
      = forall arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>
        Let0123456789876543210ZSym0KindInference
    type instance Apply Let0123456789876543210ZSym0 l = Let0123456789876543210Z l
    type family Let0123456789876543210Z x :: Nat where
      Let0123456789876543210Z x = Apply (Apply Lambda_0123456789876543210Sym0 x) ZeroSym0
    type Let0123456789876543210XSym1 t = Let0123456789876543210X t
    instance SuppressUnusedWarnings Let0123456789876543210XSym0 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Let0123456789876543210XSym0KindInference)
               GHC.Tuple.())
    data Let0123456789876543210XSym0 l
      = forall arg. SameKind (Apply Let0123456789876543210XSym0 arg) (Let0123456789876543210XSym1 arg) =>
        Let0123456789876543210XSym0KindInference
    type instance Apply Let0123456789876543210XSym0 l = Let0123456789876543210X l
    type family Let0123456789876543210X x :: Nat where
      Let0123456789876543210X x = ZeroSym0
    type Let0123456789876543210FSym2 t (t :: Nat) =
        Let0123456789876543210F t t
    instance SuppressUnusedWarnings Let0123456789876543210FSym1 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Let0123456789876543210FSym1KindInference)
               GHC.Tuple.())
    data Let0123456789876543210FSym1 l (l :: TyFun Nat Nat)
      = forall arg. SameKind (Apply (Let0123456789876543210FSym1 l) arg) (Let0123456789876543210FSym2 l arg) =>
        Let0123456789876543210FSym1KindInference
    type instance Apply (Let0123456789876543210FSym1 l) l = Let0123456789876543210F l l
    instance SuppressUnusedWarnings Let0123456789876543210FSym0 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Let0123456789876543210FSym0KindInference)
               GHC.Tuple.())
    data Let0123456789876543210FSym0 l
      = forall arg. SameKind (Apply Let0123456789876543210FSym0 arg) (Let0123456789876543210FSym1 arg) =>
        Let0123456789876543210FSym0KindInference
    type instance Apply Let0123456789876543210FSym0 l = Let0123456789876543210FSym1 l
    type family Let0123456789876543210F x (a :: Nat) :: Nat where
      Let0123456789876543210F x y = Apply SuccSym0 y
    type Let0123456789876543210ZSym1 t = Let0123456789876543210Z t
    instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Let0123456789876543210ZSym0KindInference)
               GHC.Tuple.())
    data Let0123456789876543210ZSym0 l
      = forall arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>
        Let0123456789876543210ZSym0KindInference
    type instance Apply Let0123456789876543210ZSym0 l = Let0123456789876543210Z l
    type family Let0123456789876543210Z x :: Nat where
      Let0123456789876543210Z x = Apply (Let0123456789876543210FSym1 x) x
    type Let0123456789876543210ZSym2 t t = Let0123456789876543210Z t t
    instance SuppressUnusedWarnings Let0123456789876543210ZSym1 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Let0123456789876543210ZSym1KindInference)
               GHC.Tuple.())
    data Let0123456789876543210ZSym1 l l
      = forall arg. SameKind (Apply (Let0123456789876543210ZSym1 l) arg) (Let0123456789876543210ZSym2 l arg) =>
        Let0123456789876543210ZSym1KindInference
    type instance Apply (Let0123456789876543210ZSym1 l) l = Let0123456789876543210Z l l
    instance SuppressUnusedWarnings Let0123456789876543210ZSym0 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Let0123456789876543210ZSym0KindInference)
               GHC.Tuple.())
    data Let0123456789876543210ZSym0 l
      = forall arg. SameKind (Apply Let0123456789876543210ZSym0 arg) (Let0123456789876543210ZSym1 arg) =>
        Let0123456789876543210ZSym0KindInference
    type instance Apply Let0123456789876543210ZSym0 l = Let0123456789876543210ZSym1 l
    type family Let0123456789876543210Z x y :: Nat where
      Let0123456789876543210Z x y = Apply SuccSym0 y
    type Let0123456789876543210FSym2 t (t :: Nat) =
        Let0123456789876543210F t t
    instance SuppressUnusedWarnings Let0123456789876543210FSym1 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Let0123456789876543210FSym1KindInference)
               GHC.Tuple.())
    data Let0123456789876543210FSym1 l (l :: TyFun Nat Nat)
      = forall arg. SameKind (Apply (Let0123456789876543210FSym1 l) arg) (Let0123456789876543210FSym2 l arg) =>
        Let0123456789876543210FSym1KindInference
    type instance Apply (Let0123456789876543210FSym1 l) l = Let0123456789876543210F l l
    instance SuppressUnusedWarnings Let0123456789876543210FSym0 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Let0123456789876543210FSym0KindInference)
               GHC.Tuple.())
    data Let0123456789876543210FSym0 l
      = forall arg. SameKind (Apply Let0123456789876543210FSym0 arg) (Let0123456789876543210FSym1 arg) =>
        Let0123456789876543210FSym0KindInference
    type instance Apply Let0123456789876543210FSym0 l = Let0123456789876543210FSym1 l
    type family Let0123456789876543210F x (a :: Nat) :: Nat where
      Let0123456789876543210F x y = Apply SuccSym0 (Let0123456789876543210ZSym2 x y)
    type Let0123456789876543210FSym2 t (t :: Nat) =
        Let0123456789876543210F t t
    instance SuppressUnusedWarnings Let0123456789876543210FSym1 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Let0123456789876543210FSym1KindInference)
               GHC.Tuple.())
    data Let0123456789876543210FSym1 l (l :: TyFun Nat Nat)
      = forall arg. SameKind (Apply (Let0123456789876543210FSym1 l) arg) (Let0123456789876543210FSym2 l arg) =>
        Let0123456789876543210FSym1KindInference
    type instance Apply (Let0123456789876543210FSym1 l) l = Let0123456789876543210F l l
    instance SuppressUnusedWarnings Let0123456789876543210FSym0 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Let0123456789876543210FSym0KindInference)
               GHC.Tuple.())
    data Let0123456789876543210FSym0 l
      = forall arg. SameKind (Apply Let0123456789876543210FSym0 arg) (Let0123456789876543210FSym1 arg) =>
        Let0123456789876543210FSym0KindInference
    type instance Apply Let0123456789876543210FSym0 l = Let0123456789876543210FSym1 l
    type family Let0123456789876543210F x (a :: Nat) :: Nat where
      Let0123456789876543210F x y = Apply SuccSym0 y
    type Let0123456789876543210YSym1 t = Let0123456789876543210Y t
    instance SuppressUnusedWarnings Let0123456789876543210YSym0 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Let0123456789876543210YSym0KindInference)
               GHC.Tuple.())
    data Let0123456789876543210YSym0 l
      = forall arg. SameKind (Apply Let0123456789876543210YSym0 arg) (Let0123456789876543210YSym1 arg) =>
        Let0123456789876543210YSym0KindInference
    type instance Apply Let0123456789876543210YSym0 l = Let0123456789876543210Y l
    type family Let0123456789876543210Y x :: Nat where
      Let0123456789876543210Y x = Apply SuccSym0 x
    type Let0123456789876543210YSym0 = Let0123456789876543210Y
    type Let0123456789876543210ZSym0 = Let0123456789876543210Z
    type family Let0123456789876543210Y where
      Let0123456789876543210Y = Apply SuccSym0 ZeroSym0
    type family Let0123456789876543210Z where
      Let0123456789876543210Z = Apply SuccSym0 Let0123456789876543210YSym0
    type Let0123456789876543210YSym1 t = Let0123456789876543210Y t
    instance SuppressUnusedWarnings Let0123456789876543210YSym0 where
      suppressUnusedWarnings
        = snd
            ((GHC.Tuple.(,) Let0123456789876543210YSym0KindInference)
               GHC.Tuple.())
    data Let0123456789876543210YSym0 l
      = forall arg. SameKind (Apply Let0123456789876543210YSym0 arg) (Let0123456789876543210YSym1 arg) =>
        Let0123456789876543210YSym0KindInference
    type instance Apply Let0123456789876543210YSym0 l = Let0123456789876543210Y l
    type family Let0123456789876543210Y x :: Nat where
      Let0123456789876543210Y x = Apply SuccSym0 ZeroSym0
    type Foo14Sym1 (t :: Nat) = Foo14 t
    instance SuppressUnusedWarnings Foo14Sym0 where
      suppressUnusedWarnings
        = snd ((GHC.Tuple.(,) Foo14Sym0KindInference) GHC.Tuple.())
    data Foo14Sym0 (l :: TyFun Nat (Nat, Nat))
      = forall arg. SameKind (Apply Foo14Sym0 arg) (Foo14Sym1 arg) =>
        Foo14Sym0KindInference
    type instance Apply Foo14Sym0 l = Foo14 l
    type Foo13_Sym1 (t :: a0123456789876543210) = Foo13_ t
    instance SuppressUnusedWarnings Foo13_Sym0 where
      suppressUnusedWarnings
        = snd ((GHC.Tuple.(,) Foo13_Sym0KindInference) GHC.Tuple.())
    data Foo13_Sym0 (l :: TyFun a0123456789876543210 a0123456789876543210)
      = forall arg. SameKind (Apply Foo13_Sym0 arg) (Foo13_Sym1 arg) =>
        Foo13_Sym0KindInference
    type instance Apply Foo13_Sym0 l = Foo13_ l
    type Foo13Sym1 (t :: a0123456789876543210) = Foo13 t
    instance SuppressUnusedWarnings Foo13Sym0 where
      suppressUnusedWarnings
        = snd ((GHC.Tuple.(,) Foo13Sym0KindInference) GHC.Tuple.())
    data Foo13Sym0 (l :: TyFun a0123456789876543210 a0123456789876543210)
      = forall arg. SameKind (Apply Foo13Sym0 arg) (Foo13Sym1 arg) =>
        Foo13Sym0KindInference
    type instance Apply Foo13Sym0 l = Foo13 l
    type Foo12Sym1 (t :: Nat) = Foo12 t
    instance SuppressUnusedWarnings Foo12Sym0 where
      suppressUnusedWarnings
        = snd ((GHC.Tuple.(,) Foo12Sym0KindInference) GHC.Tuple.())
    data Foo12Sym0 (l :: TyFun Nat Nat)
      = forall arg. SameKind (Apply Foo12Sym0 arg) (Foo12Sym1 arg) =>
        Foo12Sym0KindInference
    type instance Apply Foo12Sym0 l = Foo12 l
    type Foo11Sym1 (t :: Nat) = Foo11 t
    instance SuppressUnusedWarnings Foo11Sym0 where
      suppressUnusedWarnings
        = snd ((GHC.Tuple.(,) Foo11Sym0KindInference) GHC.Tuple.())
    data Foo11Sym0 (l :: TyFun Nat Nat)
      = forall arg. SameKind (Apply Foo11Sym0 arg) (Foo11Sym1 arg) =>
        Foo11Sym0KindInference
    type instance Apply Foo11Sym0 l = Foo11 l
    type Foo10Sym1 (t :: Nat) = Foo10 t
    instance SuppressUnusedWarnings Foo10Sym0 where
      suppressUnusedWarnings
        = snd ((GHC.Tuple.(,) Foo10Sym0KindInference) GHC.Tuple.())
    data Foo10Sym0 (l :: TyFun Nat Nat)
      = forall arg. SameKind (Apply Foo10Sym0 arg) (Foo10Sym1 arg) =>
        Foo10Sym0KindInference
    type instance Apply Foo10Sym0 l = Foo10 l
    type Foo9Sym1 (t :: Nat) = Foo9 t
    instance SuppressUnusedWarnings Foo9Sym0 where
      suppressUnusedWarnings
        = snd ((GHC.Tuple.(,) Foo9Sym0KindInference) GHC.Tuple.())
    data Foo9Sym0 (l :: TyFun Nat Nat)
      = forall arg. SameKind (Apply Foo9Sym0 arg) (Foo9Sym1 arg) =>
        Foo9Sym0KindInference
    type instance Apply Foo9Sym0 l = Foo9 l
    type Foo8Sym1 (t :: Nat) = Foo8 t
    instance SuppressUnusedWarnings Foo8Sym0 where
      suppressUnusedWarnings
        = snd ((GHC.Tuple.(,) Foo8Sym0KindInference) GHC.Tuple.())
    data Foo8Sym0 (l :: TyFun Nat Nat)
      = forall arg. SameKind (Apply Foo8Sym0 arg) (Foo8Sym1 arg) =>
        Foo8Sym0KindInference
    type instance Apply Foo8Sym0 l = Foo8 l
    type Foo7Sym1 (t :: Nat) = Foo7 t
    instance SuppressUnusedWarnings Foo7Sym0 where
      suppressUnusedWarnings
        = snd ((GHC.Tuple.(,) Foo7Sym0KindInference) GHC.Tuple.())
    data Foo7Sym0 (l :: TyFun Nat Nat)
      = forall arg. SameKind (Apply Foo7Sym0 arg) (Foo7Sym1 arg) =>
        Foo7Sym0KindInference
    type instance Apply Foo7Sym0 l = Foo7 l
    type Foo6Sym1 (t :: Nat) = Foo6 t
    instance SuppressUnusedWarnings Foo6Sym0 where
      suppressUnusedWarnings
        = snd ((GHC.Tuple.(,) Foo6Sym0KindInference) GHC.Tuple.())
    data Foo6Sym0 (l :: TyFun Nat Nat)
      = forall arg. SameKind (Apply Foo6Sym0 arg) (Foo6Sym1 arg) =>
        Foo6Sym0KindInference
    type instance Apply Foo6Sym0 l = Foo6 l
    type Foo5Sym1 (t :: Nat) = Foo5 t
    instance SuppressUnusedWarnings Foo5Sym0 where
      suppressUnusedWarnings
        = snd ((GHC.Tuple.(,) Foo5Sym0KindInference) GHC.Tuple.())
    data Foo5Sym0 (l :: TyFun Nat Nat)
      = forall arg. SameKind (Apply Foo5Sym0 arg) (Foo5Sym1 arg) =>
        Foo5Sym0KindInference
    type instance Apply Foo5Sym0 l = Foo5 l
    type Foo4Sym1 (t :: Nat) = Foo4 t
    instance SuppressUnusedWarnings Foo4Sym0 where
      suppressUnusedWarnings
        = snd ((GHC.Tuple.(,) Foo4Sym0KindInference) GHC.Tuple.())
    data Foo4Sym0 (l :: TyFun Nat Nat)
      = forall arg. SameKind (Apply Foo4Sym0 arg) (Foo4Sym1 arg) =>
        Foo4Sym0KindInference
    type instance Apply Foo4Sym0 l = Foo4 l
    type Foo3Sym1 (t :: Nat) = Foo3 t
    instance SuppressUnusedWarnings Foo3Sym0 where
      suppressUnusedWarnings
        = snd ((GHC.Tuple.(,) Foo3Sym0KindInference) GHC.Tuple.())
    data Foo3Sym0 (l :: TyFun Nat Nat)
      = forall arg. SameKind (Apply Foo3Sym0 arg) (Foo3Sym1 arg) =>
        Foo3Sym0KindInference
    type instance Apply Foo3Sym0 l = Foo3 l
    type Foo2Sym0 = Foo2
    type Foo1Sym1 (t :: Nat) = Foo1 t
    instance SuppressUnusedWarnings Foo1Sym0 where
      suppressUnusedWarnings
        = snd ((GHC.Tuple.(,) Foo1Sym0KindInference) GHC.Tuple.())
    data Foo1Sym0 (l :: TyFun Nat Nat)
      = forall arg. SameKind (Apply Foo1Sym0 arg) (Foo1Sym1 arg) =>
        Foo1Sym0KindInference
    type instance Apply Foo1Sym0 l = Foo1 l
    type family Foo14 (a :: Nat) :: (Nat, Nat) where
      Foo14 x = Apply (Apply Tuple2Sym0 (Let0123456789876543210ZSym1 x)) (Let0123456789876543210YSym1 x)
    type family Foo13_ (a :: a) :: a where
      Foo13_ y = y
    type family Foo13 (a :: a) :: a where
      Foo13 x = Apply Foo13_Sym0 (Let0123456789876543210BarSym1 x)
    type family Foo12 (a :: Nat) :: Nat where
      Foo12 x = Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) x) (Apply SuccSym0 (Apply SuccSym0 ZeroSym0))
    type family Foo11 (a :: Nat) :: Nat where
      Foo11 x = Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) (Apply SuccSym0 ZeroSym0)) (Let0123456789876543210ZSym1 x)
    type family Foo10 (a :: Nat) :: Nat where
      Foo10 x = Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) (Apply SuccSym0 ZeroSym0)) x
    type family Foo9 (a :: Nat) :: Nat where
      Foo9 x = Apply (Let0123456789876543210ZSym1 x) x
    type family Foo8 (a :: Nat) :: Nat where
      Foo8 x = Let0123456789876543210ZSym1 x
    type family Foo7 (a :: Nat) :: Nat where
      Foo7 x = Let0123456789876543210XSym1 x
    type family Foo6 (a :: Nat) :: Nat where
      Foo6 x = Let0123456789876543210ZSym1 x
    type family Foo5 (a :: Nat) :: Nat where
      Foo5 x = Apply (Let0123456789876543210FSym1 x) x
    type family Foo4 (a :: Nat) :: Nat where
      Foo4 x = Apply (Let0123456789876543210FSym1 x) x
    type family Foo3 (a :: Nat) :: Nat where
      Foo3 x = Let0123456789876543210YSym1 x
    type family Foo2 :: Nat where
      Foo2 = Let0123456789876543210ZSym0
    type family Foo1 (a :: Nat) :: Nat where
      Foo1 x = Let0123456789876543210YSym1 x
    sFoo14 ::
      forall (t :: Nat). Sing t -> Sing (Apply Foo14Sym0 t :: (Nat, Nat))
    sFoo13_ ::
      forall (t :: a). Sing t -> Sing (Apply Foo13_Sym0 t :: a)
    sFoo13 :: forall (t :: a). Sing t -> Sing (Apply Foo13Sym0 t :: a)
    sFoo12 ::
      forall (t :: Nat). Sing t -> Sing (Apply Foo12Sym0 t :: Nat)
    sFoo11 ::
      forall (t :: Nat). Sing t -> Sing (Apply Foo11Sym0 t :: Nat)
    sFoo10 ::
      forall (t :: Nat). Sing t -> Sing (Apply Foo10Sym0 t :: Nat)
    sFoo9 ::
      forall (t :: Nat). Sing t -> Sing (Apply Foo9Sym0 t :: Nat)
    sFoo8 ::
      forall (t :: Nat). Sing t -> Sing (Apply Foo8Sym0 t :: Nat)
    sFoo7 ::
      forall (t :: Nat). Sing t -> Sing (Apply Foo7Sym0 t :: Nat)
    sFoo6 ::
      forall (t :: Nat). Sing t -> Sing (Apply Foo6Sym0 t :: Nat)
    sFoo5 ::
      forall (t :: Nat). Sing t -> Sing (Apply Foo5Sym0 t :: Nat)
    sFoo4 ::
      forall (t :: Nat). Sing t -> Sing (Apply Foo4Sym0 t :: Nat)
    sFoo3 ::
      forall (t :: Nat). Sing t -> Sing (Apply Foo3Sym0 t :: Nat)
    sFoo2 :: Sing (Foo2Sym0 :: Nat)
    sFoo1 ::
      forall (t :: Nat). Sing t -> Sing (Apply Foo1Sym0 t :: Nat)
    sFoo14 (sX :: Sing x)
      = let
          sY :: Sing (Let0123456789876543210YSym1 x)
          sZ :: Sing (Let0123456789876543210ZSym1 x)
          sX_0123456789876543210 ::
            Sing (Let0123456789876543210X_0123456789876543210Sym1 x)
          sY
            = case sX_0123456789876543210 of {
                STuple2 (sY_0123456789876543210 :: Sing y_0123456789876543210) _
                  -> sY_0123456789876543210 } ::
                Sing (Case_0123456789876543210 x (Let0123456789876543210X_0123456789876543210Sym1 x))
          sZ
            = case sX_0123456789876543210 of {
                STuple2 _ (sY_0123456789876543210 :: Sing y_0123456789876543210)
                  -> sY_0123456789876543210 } ::
                Sing (Case_0123456789876543210 x (Let0123456789876543210X_0123456789876543210Sym1 x))
          sX_0123456789876543210
            = (applySing
                 ((applySing ((singFun2 @Tuple2Sym0) STuple2))
                    ((applySing ((singFun1 @SuccSym0) SSucc)) sX)))
                sX
        in (applySing ((applySing ((singFun2 @Tuple2Sym0) STuple2)) sZ)) sY
    sFoo13_ (sY :: Sing y) = sY
    sFoo13 (sX :: Sing x)
      = let
          sBar :: Sing (Let0123456789876543210BarSym1 x :: a)
          sBar = sX
        in (applySing ((singFun1 @Foo13_Sym0) sFoo13_)) sBar
    sFoo12 (sX :: Sing x)
      = let
          (%+) ::
            forall (t :: Nat) (t :: Nat).
            Sing t
            -> Sing t
               -> Sing (Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) t) t :: Nat)
          (%+) SZero (sM :: Sing m) = sM
          (%+) (SSucc (sN :: Sing n)) (sM :: Sing m)
            = (applySing ((singFun1 @SuccSym0) SSucc))
                ((applySing
                    ((applySing ((singFun2 @((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x)) (%+)))
                       sN))
                   sX)
        in
          (applySing
             ((applySing ((singFun2 @((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x)) (%+)))
                sX))
            ((applySing ((singFun1 @SuccSym0) SSucc))
               ((applySing ((singFun1 @SuccSym0) SSucc)) SZero))
    sFoo11 (sX :: Sing x)
      = let
          sZ :: Sing (Let0123456789876543210ZSym1 x :: Nat)
          (%+) ::
            forall (t :: Nat) (t :: Nat).
            Sing t
            -> Sing t
               -> Sing (Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) t) t :: Nat)
          sZ = sX
          (%+) SZero (sM :: Sing m) = sM
          (%+) (SSucc (sN :: Sing n)) (sM :: Sing m)
            = (applySing ((singFun1 @SuccSym0) SSucc))
                ((applySing
                    ((applySing ((singFun2 @((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x)) (%+)))
                       sN))
                   sM)
        in
          (applySing
             ((applySing ((singFun2 @((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x)) (%+)))
                ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))
            sZ
    sFoo10 (sX :: Sing x)
      = let
          (%+) ::
            forall (t :: Nat) (t :: Nat).
            Sing t
            -> Sing t
               -> Sing (Apply (Apply ((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x) t) t :: Nat)
          (%+) SZero (sM :: Sing m) = sM
          (%+) (SSucc (sN :: Sing n)) (sM :: Sing m)
            = (applySing ((singFun1 @SuccSym0) SSucc))
                ((applySing
                    ((applySing ((singFun2 @((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x)) (%+)))
                       sN))
                   sM)
        in
          (applySing
             ((applySing ((singFun2 @((<<<%%%%%%%%%%%%%%%%%%%%@#@$$) x)) (%+)))
                ((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))
            sX
    sFoo9 (sX :: Sing x)
      = let
          sZ ::
            forall (t :: Nat).
            Sing t -> Sing (Apply (Let0123456789876543210ZSym1 x) t :: Nat)
          sZ (sA_0123456789876543210 :: Sing a_0123456789876543210)
            = (applySing
                 ((singFun1
                     @(Apply (Apply Lambda_0123456789876543210Sym0 x) a_0123456789876543210))
                    (\ sX -> case sX of { _ :: Sing x -> sX })))
                sA_0123456789876543210
        in (applySing ((singFun1 @(Let0123456789876543210ZSym1 x)) sZ)) sX
    sFoo8 (sX :: Sing x)
      = let
          sZ :: Sing (Let0123456789876543210ZSym1 x :: Nat)
          sZ
            = (applySing
                 ((singFun1 @(Apply Lambda_0123456789876543210Sym0 x))
                    (\ sX -> case sX of { _ :: Sing x -> sX })))
                SZero
        in sZ
    sFoo7 (sX :: Sing x)
      = let
          sX :: Sing (Let0123456789876543210XSym1 x :: Nat)
          sX = SZero
        in sX
    sFoo6 (sX :: Sing x)
      = let
          sF ::
            forall (t :: Nat).
            Sing t -> Sing (Apply (Let0123456789876543210FSym1 x) t :: Nat)
          sF (sY :: Sing y) = (applySing ((singFun1 @SuccSym0) SSucc)) sY in
        let
          sZ :: Sing (Let0123456789876543210ZSym1 x :: Nat)
          sZ
            = (applySing ((singFun1 @(Let0123456789876543210FSym1 x)) sF)) sX
        in sZ
    sFoo5 (sX :: Sing x)
      = let
          sF ::
            forall (t :: Nat).
            Sing t -> Sing (Apply (Let0123456789876543210FSym1 x) t :: Nat)
          sF (sY :: Sing y)
            = let
                sZ :: Sing (Let0123456789876543210ZSym2 x y :: Nat)
                sZ = (applySing ((singFun1 @SuccSym0) SSucc)) sY
              in (applySing ((singFun1 @SuccSym0) SSucc)) sZ
        in (applySing ((singFun1 @(Let0123456789876543210FSym1 x)) sF)) sX
    sFoo4 (sX :: Sing x)
      = let
          sF ::
            forall (t :: Nat).
            Sing t -> Sing (Apply (Let0123456789876543210FSym1 x) t :: Nat)
          sF (sY :: Sing y) = (applySing ((singFun1 @SuccSym0) SSucc)) sY
        in (applySing ((singFun1 @(Let0123456789876543210FSym1 x)) sF)) sX
    sFoo3 (sX :: Sing x)
      = let
          sY :: Sing (Let0123456789876543210YSym1 x :: Nat)
          sY = (applySing ((singFun1 @SuccSym0) SSucc)) sX
        in sY
    sFoo2
      = let
          sY :: Sing Let0123456789876543210YSym0
          sZ :: Sing Let0123456789876543210ZSym0
          sY = (applySing ((singFun1 @SuccSym0) SSucc)) SZero
          sZ = (applySing ((singFun1 @SuccSym0) SSucc)) sY
        in sZ
    sFoo1 (sX :: Sing x)
      = let
          sY :: Sing (Let0123456789876543210YSym1 x :: Nat)
          sY = (applySing ((singFun1 @SuccSym0) SSucc)) SZero
        in sY