Operators.ghc86.template

Singletons/Operators.hs:(0,0)-(0,0): Splicing declarations
    singletons
      [d| child :: Foo -> Foo
          child FLeaf = FLeaf
          child (a :+: _) = a
          (+) :: Nat -> Nat -> Nat
          Zero + m = m
          (Succ n) + m = Succ (n + m)
          
          data Foo
            where
              FLeaf :: Foo
              (:+:) :: Foo -> Foo -> Foo |]
  ======>
    data Foo
      where
        FLeaf :: Foo
        (:+:) :: Foo -> Foo -> Foo
    child :: Foo -> Foo
    child FLeaf = FLeaf
    child (a :+: _) = a
    (+) :: Nat -> Nat -> Nat
    (+) Zero m = m
    (+) (Succ n) m = Succ (n + m)
    type FLeafSym0 = FLeaf
    type (:+:@#@$$$) (t0123456789876543210 :: Foo) (t0123456789876543210 :: Foo) =
        (:+:) t0123456789876543210 t0123456789876543210
    instance SuppressUnusedWarnings ((:+:@#@$$) t0123456789876543210) where
      suppressUnusedWarnings = snd (((,) (::+:@#@$$###)) ())
    data (:+:@#@$$) (t0123456789876543210 :: Foo) :: (~>) Foo Foo
      where
        (::+:@#@$$###) :: forall t0123456789876543210
                                 t0123456789876543210
                                 arg. SameKind (Apply ((:+:@#@$$) t0123456789876543210) arg) ((:+:@#@$$$) t0123456789876543210 arg) =>
                          (:+:@#@$$) t0123456789876543210 t0123456789876543210
    type instance Apply ((:+:@#@$$) t0123456789876543210) t0123456789876543210 = (:+:) t0123456789876543210 t0123456789876543210
    instance SuppressUnusedWarnings (:+:@#@$) where
      suppressUnusedWarnings = snd (((,) (::+:@#@$###)) ())
    data (:+:@#@$) :: (~>) Foo ((~>) Foo Foo)
      where
        (::+:@#@$###) :: forall t0123456789876543210
                                arg. SameKind (Apply (:+:@#@$) arg) ((:+:@#@$$) arg) =>
                         (:+:@#@$) t0123456789876543210
    type instance Apply (:+:@#@$) t0123456789876543210 = (:+:@#@$$) t0123456789876543210
    type (+@#@$$$) (a0123456789876543210 :: Nat) (a0123456789876543210 :: Nat) =
        (+) a0123456789876543210 a0123456789876543210
    instance SuppressUnusedWarnings ((+@#@$$) a0123456789876543210) where
      suppressUnusedWarnings = snd (((,) (:+@#@$$###)) ())
    data (+@#@$$) (a0123456789876543210 :: Nat) :: (~>) Nat Nat
      where
        (:+@#@$$###) :: forall a0123456789876543210
                               a0123456789876543210
                               arg. SameKind (Apply ((+@#@$$) a0123456789876543210) arg) ((+@#@$$$) a0123456789876543210 arg) =>
                        (+@#@$$) a0123456789876543210 a0123456789876543210
    type instance Apply ((+@#@$$) a0123456789876543210) a0123456789876543210 = (+) a0123456789876543210 a0123456789876543210
    instance SuppressUnusedWarnings (+@#@$) where
      suppressUnusedWarnings = snd (((,) (:+@#@$###)) ())
    data (+@#@$) :: (~>) Nat ((~>) Nat Nat)
      where
        (:+@#@$###) :: forall a0123456789876543210
                              arg. SameKind (Apply (+@#@$) arg) ((+@#@$$) arg) =>
                       (+@#@$) a0123456789876543210
    type instance Apply (+@#@$) a0123456789876543210 = (+@#@$$) a0123456789876543210
    type ChildSym1 (a0123456789876543210 :: Foo) =
        Child a0123456789876543210
    instance SuppressUnusedWarnings ChildSym0 where
      suppressUnusedWarnings = snd (((,) ChildSym0KindInference) ())
    data ChildSym0 :: (~>) Foo Foo
      where
        ChildSym0KindInference :: forall a0123456789876543210
                                         arg. SameKind (Apply ChildSym0 arg) (ChildSym1 arg) =>
                                  ChildSym0 a0123456789876543210
    type instance Apply ChildSym0 a0123456789876543210 = Child a0123456789876543210
    type family (+) (a :: Nat) (a :: Nat) :: Nat where
      (+)  'Zero m = m
      (+) ( 'Succ n) m = Apply SuccSym0 (Apply (Apply (+@#@$) n) m)
    type family Child (a :: Foo) :: Foo where
      Child FLeaf = FLeafSym0
      Child ((:+:) a _) = a
    (%+) ::
      forall (t :: Nat) (t :: Nat).
      Sing t -> Sing t -> Sing (Apply (Apply (+@#@$) t) t :: Nat)
    sChild ::
      forall (t :: Foo). Sing t -> Sing (Apply ChildSym0 t :: Foo)
    (%+) SZero (sM :: Sing m) = sM
    (%+) (SSucc (sN :: Sing n)) (sM :: Sing m)
      = (applySing ((singFun1 @SuccSym0) SSucc))
          ((applySing ((applySing ((singFun2 @(+@#@$)) (%+))) sN)) sM)
    sChild SFLeaf = SFLeaf
    sChild ((:%+:) (sA :: Sing a) _) = sA
    instance SingI ((+@#@$) :: (~>) Nat ((~>) Nat Nat)) where
      sing = (singFun2 @(+@#@$)) (%+)
    instance SingI d =>
             SingI ((+@#@$$) (d :: Nat) :: (~>) Nat Nat) where
      sing = (singFun1 @((+@#@$$) (d :: Nat))) ((%+) (sing @d))
    instance SingI (ChildSym0 :: (~>) Foo Foo) where
      sing = (singFun1 @ChildSym0) sChild
    data instance Sing :: Foo -> GHC.Types.Type
      where
        SFLeaf :: Sing FLeaf
        (:%+:) :: forall (n :: Foo) (n :: Foo).
                  (Sing (n :: Foo)) -> (Sing (n :: Foo)) -> Sing ((:+:) n n)
    type SFoo = (Sing :: Foo -> GHC.Types.Type)
    instance SingKind Foo where
      type Demote Foo = Foo
      fromSing SFLeaf = FLeaf
      fromSing ((:%+:) b b) = ((:+:) (fromSing b)) (fromSing b)
      toSing FLeaf = SomeSing SFLeaf
      toSing ((:+:) (b :: Demote Foo) (b :: Demote Foo))
        = case
              ((,) (toSing b :: SomeSing Foo)) (toSing b :: SomeSing Foo)
          of {
            (,) (SomeSing c) (SomeSing c) -> SomeSing (((:%+:) c) c) }
    instance SingI FLeaf where
      sing = SFLeaf
    instance (SingI n, SingI n) =>
             SingI ((:+:) (n :: Foo) (n :: Foo)) where
      sing = ((:%+:) sing) sing
    instance SingI ((:+:@#@$) :: (~>) Foo ((~>) Foo Foo)) where
      sing = (singFun2 @(:+:@#@$)) (:%+:)
    instance SingI (TyCon2 (:+:) :: (~>) Foo ((~>) Foo Foo)) where
      sing = (singFun2 @(TyCon2 (:+:))) (:%+:)
    instance SingI d =>
             SingI ((:+:@#@$$) (d :: Foo) :: (~>) Foo Foo) where
      sing = (singFun1 @((:+:@#@$$) (d :: Foo))) ((:%+:) (sing @d))
    instance SingI d =>
             SingI (TyCon1 ((:+:) (d :: Foo)) :: (~>) Foo Foo) where
      sing = (singFun1 @(TyCon1 ((:+:) (d :: Foo)))) ((:%+:) (sing @d))