interface Data.Traversable where {

{-# NEED #-}
instance Data.Typeable.Typeable2 Array.Array;

{-# NEED #-}
instance Control.Monad.Fix.MonadFix NHC.Internal.IO;

{-# NEED #-}
instance (Data.Typeable.Typeable a) => Data.Typeable.Typeable1 (Array.Array a);

{-# NEED #-}
instance Data.Typeable.Typeable1 NHC.Internal.IO;

{-# NEED #-}
instance Data.Typeable.Typeable1 Ratio.Ratio;

{-# NEED #-}
instance (Ix.Ix a) => Traversable (Array.Array a);

{-# NEED #-}
instance Traversable Prelude.Maybe;

{-# NEED #-}
instance Traversable Prelude.[];

{-# NEED #-}
instance (Ix.Ix a,Ix.Ix b,Ix.Ix c,Ix.Ix d,Ix.Ix e,Ix.Ix f) => Ix.Ix (a,b,c,d,e,f);

{-# NEED #-}
instance (Ix.Ix a,Ix.Ix b,Ix.Ix c,Ix.Ix d,Ix.Ix e,Ix.Ix f,Ix.Ix g) => Ix.Ix (a,b,c,d,e,f,g);

{-# NEED #-}
instance (Ix.Ix a,Ix.Ix b,Ix.Ix c,Ix.Ix d,Ix.Ix e,Ix.Ix f,Ix.Ix g,Ix.Ix h) => Ix.Ix (a,b,c,d,e,f,g,h);

{-# NEED #-}
instance (Ix.Ix a,Ix.Ix b,Ix.Ix c,Ix.Ix d,Ix.Ix e,Ix.Ix f,Ix.Ix g,Ix.Ix h,Ix.Ix i) => Ix.Ix (a,b,c,d,e,f,g,h,i);

{-# NEED #-}
instance (Ix.Ix a,Ix.Ix b,Ix.Ix c,Ix.Ix d,Ix.Ix e,Ix.Ix f,Ix.Ix g,Ix.Ix h,Ix.Ix i,Ix.Ix j) => Ix.Ix (a,b,c,d,e,f,g,h,i,j);

{-# NEED #-}
instance (Ix.Ix a,Ix.Ix b,Ix.Ix c,Ix.Ix d,Ix.Ix e,Ix.Ix f,Ix.Ix g,Ix.Ix h,Ix.Ix i,Ix.Ix j,Ix.Ix k) => Ix.Ix (a,b,c,d,e,f,g,h,i,j,k);

{-# NEED #-}
instance (Ix.Ix a,Ix.Ix b,Ix.Ix c,Ix.Ix d,Ix.Ix e,Ix.Ix f,Ix.Ix g,Ix.Ix h,Ix.Ix i,Ix.Ix j,Ix.Ix k,Ix.Ix l) => Ix.Ix (a,b,c,d,e,f,g,h,i,j,k,l);

{-# NEED #-}
instance (Ix.Ix a,Ix.Ix b,Ix.Ix c,Ix.Ix d,Ix.Ix e,Ix.Ix f,Ix.Ix g,Ix.Ix h,Ix.Ix i,Ix.Ix j,Ix.Ix k,Ix.Ix l,Ix.Ix m) => Ix.Ix (a,b,c,d,e,f,g,h,i,j,k,l,m);

{-# NEED #-}
instance (Ix.Ix a,Ix.Ix b,Ix.Ix c,Ix.Ix d,Ix.Ix e,Ix.Ix f,Ix.Ix g,Ix.Ix h,Ix.Ix i,Ix.Ix j,Ix.Ix k,Ix.Ix l,Ix.Ix m,Ix.Ix n,Ix.Ix o) => Ix.Ix (a,b,c,d,e,f,g,h,i,j,k,l,m,n,o);

{-# NEED #-}
instance Ix.Ix Prelude.Char;

{-# NEED #-}
instance Ix.Ix Prelude.Integer;

{-# NEED #-}
instance Ix.Ix Prelude.Bool;

{-# NEED #-}
instance Ix.Ix Prelude.Int;

{-# NEED #-}
instance (Ix.Ix a,Ix.Ix b) => Ix.Ix (a,b);

{-# NEED #-}
instance Ix.Ix Prelude.Ordering;

{-# NEED #-}
instance (Ix.Ix a,Ix.Ix b,Ix.Ix c,Ix.Ix d,Ix.Ix e) => Ix.Ix (a,b,c,d,e);

{-# NEED #-}
instance (Ix.Ix a,Ix.Ix b,Ix.Ix c,Ix.Ix d) => Ix.Ix (a,b,c,d);

{-# NEED #-}
instance (Ix.Ix a,Ix.Ix b,Ix.Ix c) => Ix.Ix (a,b,c);

{-# NEED #-}
instance (Control.Monad.MonadPlus a) => Control.Applicative.Alternative (Control.Applicative.WrappedMonad a);

{-# NEED #-}
instance Control.Applicative.Alternative Prelude.Maybe;

{-# NEED #-}
instance Control.Applicative.Alternative Prelude.[];

{-# NEED #-}
instance Prelude.Functor Id;

{-# NEED #-}
instance (Ix.Ix a) => Prelude.Functor (Array.Array a);

{-# NEED #-}
instance Prelude.Functor (Control.Applicative.Const a);

{-# NEED #-}
instance (Prelude.Monad a) => Prelude.Functor (Control.Applicative.WrappedMonad a);

{-# NEED #-}
instance Prelude.Functor NHC.Internal.IO;

{-# NEED #-}
instance Prelude.Monad NHC.Internal.IO;

{-# NEED #-}
instance Control.Applicative.Applicative Id;

{-# NEED #-}
instance (Data.Monoid.Monoid a) => Control.Applicative.Applicative (Control.Applicative.Const a);

{-# NEED #-}
instance (Prelude.Monad a) => Control.Applicative.Applicative (Control.Applicative.WrappedMonad a);

{-# NEED #-}
instance Control.Applicative.Applicative NHC.Internal.IO;

{-# NEED #-}
instance Control.Applicative.Applicative Prelude.Maybe;

{-# NEED #-}
instance (Data.Monoid.Monoid a) => Control.Applicative.Applicative ((,) a);

{-# NEED #-}
instance Control.Applicative.Applicative Prelude.[];

{-# NEED #-}
instance Control.Applicative.Applicative ( (->) a);

{-# NEED #-}
instance (Ix.Ix a) => Data.Foldable.Foldable (Array.Array a);

{-# NEED #-}
instance Data.Foldable.Foldable Prelude.Maybe;

{-# NEED #-}
instance Data.Foldable.Foldable Prelude.[];

{-# NEED #-}
instance (Prelude.Bounded a) => Prelude.Bounded (Data.Monoid.Product a);

{-# NEED #-}
instance (Prelude.Bounded a) => Prelude.Bounded (Data.Monoid.Sum a);

{-# NEED #-}
instance Prelude.Bounded Data.Monoid.Any;

{-# NEED #-}
instance Prelude.Bounded Data.Monoid.All;

{-# NEED #-}
instance (Prelude.Bounded a) => Prelude.Bounded (Data.Monoid.Dual a);

{-# NEED #-}
instance (Prelude.Integral a) => Prelude.Fractional (Ratio.Ratio a);

{-# NEED #-}
instance (Prelude.Integral a) => Prelude.RealFrac (Ratio.Ratio a);

{-# NEED #-}
instance (Prelude.Integral a) => Prelude.Real (Ratio.Ratio a);

{-# NEED #-}
instance (Prelude.Integral a) => Prelude.Enum (Ratio.Ratio a);

{-# NEED #-}
instance (Ix.Ix a,Prelude.Ord b) => Prelude.Ord (Array.Array a b);

{-# NEED #-}
instance (Prelude.Integral a) => Prelude.Ord (Ratio.Ratio a);

{-# NEED #-}
instance (Prelude.Ord a) => Prelude.Ord (Data.Monoid.Product a);

{-# NEED #-}
instance (Prelude.Ord a) => Prelude.Ord (Data.Monoid.Sum a);

{-# NEED #-}
instance Prelude.Ord Data.Monoid.Any;

{-# NEED #-}
instance Prelude.Ord Data.Monoid.All;

{-# NEED #-}
instance (Prelude.Ord a) => Prelude.Ord (Data.Monoid.Dual a);

{-# NEED #-}
instance Prelude.Eq Data.Typeable.TypeRep;

{-# NEED #-}
instance (Ix.Ix a,Prelude.Eq b) => Prelude.Eq (Array.Array a b);

{-# NEED #-}
instance (Prelude.Integral a) => Prelude.Eq (Ratio.Ratio a);

{-# NEED #-}
instance (Prelude.Eq a) => Prelude.Eq (Data.Monoid.Product a);

{-# NEED #-}
instance (Prelude.Eq a) => Prelude.Eq (Data.Monoid.Sum a);

{-# NEED #-}
instance Prelude.Eq Data.Monoid.Any;

{-# NEED #-}
instance Prelude.Eq Data.Monoid.All;

{-# NEED #-}
instance (Prelude.Eq a) => Prelude.Eq (Data.Monoid.Dual a);

{-# NEED #-}
instance Prelude.Show Data.Typeable.TypeRep;

{-# NEED #-}
instance (Ix.Ix a,Prelude.Show a,Prelude.Show b) => Prelude.Show (Array.Array a b);

{-# NEED #-}
instance (Prelude.Show a) => Prelude.Show (NHC.Internal.IO a);

{-# NEED #-}
instance (Prelude.Integral a) => Prelude.Show (Ratio.Ratio a);

{-# NEED #-}
instance (Prelude.Show a) => Prelude.Show (Data.Monoid.Product a);

{-# NEED #-}
instance (Prelude.Show a) => Prelude.Show (Data.Monoid.Sum a);

{-# NEED #-}
instance Prelude.Show Data.Monoid.Any;

{-# NEED #-}
instance Prelude.Show Data.Monoid.All;

{-# NEED #-}
instance (Prelude.Show a) => Prelude.Show (Data.Monoid.Dual a);

{-# NEED #-}
instance (Ix.Ix a,Prelude.Read a,Prelude.Read b) => Prelude.Read (Array.Array a b);

{-# NEED #-}
instance (Prelude.Read a,Prelude.Integral a) => Prelude.Read (Ratio.Ratio a);

{-# NEED #-}
instance (Prelude.Read a) => Prelude.Read (Data.Monoid.Product a);

{-# NEED #-}
instance (Prelude.Read a) => Prelude.Read (Data.Monoid.Sum a);

{-# NEED #-}
instance Prelude.Read Data.Monoid.Any;

{-# NEED #-}
instance Prelude.Read Data.Monoid.All;

{-# NEED #-}
instance (Prelude.Read a) => Prelude.Read (Data.Monoid.Dual a);

{-# NEED #-}
instance Data.Typeable.Typeable Data.Typeable.TypeRep;

{-# NEED #-}
instance Data.Typeable.Typeable Prelude.Char;

{-# NEED #-}
instance Data.Typeable.Typeable Prelude.Integer;

{-# NEED #-}
instance Data.Typeable.Typeable Prelude.Bool;

{-# NEED #-}
instance Data.Typeable.Typeable Prelude.Int;

{-# NEED #-}
instance Data.Typeable.Typeable Prelude.Double;

{-# NEED #-}
instance Data.Typeable.Typeable Prelude.Float;

{-# NEED #-}
instance (Data.Typeable.Typeable a,Data.Typeable.Typeable b) => Data.Typeable.Typeable (Array.Array a b);

{-# NEED #-}
instance (Data.Typeable.Typeable a,Data.Typeable.Typeable b) => Data.Typeable.Typeable (Prelude.Either a b);

{-# NEED #-}
instance (Data.Typeable.Typeable a) => Data.Typeable.Typeable (NHC.Internal.IO a);

{-# NEED #-}
instance (Data.Typeable.Typeable a) => Data.Typeable.Typeable (Ratio.Ratio a);

{-# NEED #-}
instance (Data.Typeable.Typeable a) => Data.Typeable.Typeable (Prelude.Maybe a);

{-# NEED #-}
instance Data.Typeable.Typeable ();

{-# NEED #-}
instance Data.Typeable.Typeable Prelude.Ordering;

{-# NEED #-}
instance (Data.Typeable.Typeable a) => Data.Typeable.Typeable [a];

{-# NEED #-}
instance (Data.Typeable.Typeable a,Data.Typeable.Typeable b) => Data.Typeable.Typeable (a -> b);

{-# NEED #-}
instance (Prelude.Integral a) => Prelude.Num (Ratio.Ratio a);

{-# NEED #-}
instance (Prelude.Num a) => Data.Monoid.Monoid (Data.Monoid.Product a);

{-# NEED #-}
instance (Prelude.Num a) => Data.Monoid.Monoid (Data.Monoid.Sum a);

{-# NEED #-}
instance Data.Monoid.Monoid Data.Monoid.Any;

{-# NEED #-}
instance Data.Monoid.Monoid Data.Monoid.All;

{-# NEED #-}
instance Data.Monoid.Monoid (Data.Monoid.Endo a);

{-# NEED #-}
instance (Data.Monoid.Monoid a) => Data.Monoid.Monoid (Data.Monoid.Dual a);

{-# NEED #-}
instance (Data.Monoid.Monoid a) => Data.Monoid.Monoid (Prelude.Maybe a);

{-# NEED #-}
instance (Data.Monoid.Monoid a,Data.Monoid.Monoid b) => Data.Monoid.Monoid (a,b);

{-# NEED #-}
instance Data.Monoid.Monoid ();

{-# NEED #-}
instance Data.Monoid.Monoid Prelude.Ordering;

{-# NEED #-}
instance (Data.Monoid.Monoid a,Data.Monoid.Monoid b,Data.Monoid.Monoid c,Data.Monoid.Monoid d,Data.Monoid.Monoid e) => Data.Monoid.Monoid (a,b,c,d,e);

{-# NEED #-}
instance (Data.Monoid.Monoid a,Data.Monoid.Monoid b,Data.Monoid.Monoid c,Data.Monoid.Monoid d) => Data.Monoid.Monoid (a,b,c,d);

{-# NEED #-}
instance (Data.Monoid.Monoid a,Data.Monoid.Monoid b,Data.Monoid.Monoid c) => Data.Monoid.Monoid (a,b,c);

{-# NEED #-}
instance Data.Monoid.Monoid [a];

{-# NEED #-}
instance (Data.Monoid.Monoid b) => Data.Monoid.Monoid (a -> b);
interface Control.Monad
{-# NEED #-}
class MonadPlus a;
interface Data.Traversable
{-# NEED Id #-}
newtype {-#  #-} Id a;
interface Control.Applicative
{-# NEED Const #-}
newtype {-#  #-} Const a b;

{-# NEED WrappedMonad #-}
newtype {-#  #-} WrappedMonad a b;
interface Data.Typeable
{-# NEED TypeRep #-}
data TypeRep;
interface Array
{-# NEED Array #-}
data (Ix.Ix a) => Array a b;
interface Ix
{-# NEED Ix #-}
class (Prelude.Ord a) => Ix a;
interface NHC.Internal
{-# NEED IO #-}
newtype {-#  #-} IO a;

{-# NEED World #-}
data World;
interface Data.Typeable
{-# NEED Typeable #-}
class Typeable a;
interface Ratio
{-# NEED Ratio #-}
data Ratio a;
interface Data.Monoid
{-# NEED Product #-}
newtype {-#  #-} Product a;

{-# NEED Sum #-}
newtype {-#  #-} Sum a;

{-# NEED Any #-}
newtype {-#  #-} Any;

{-# NEED All #-}
newtype {-#  #-} All;

{-# NEED Endo #-}
newtype {-#  #-} Endo a;

{-# NEED Dual #-}
newtype {-#  #-} Dual a;
interface ! Data.Traversable
{-# NEED foldMapDefault #-}
foldMapDefault{-# 1 #-}::(Traversable c,Data.Monoid.Monoid b) => ((a -> b) -> ((c a) -> b));
interface Data.Monoid
{-# NEED Monoid #-}
class Monoid a;
interface ! Data.Traversable
{-# NEED fmapDefault #-}
fmapDefault{-# 1 #-}::(Traversable c) => ((a -> b) -> ((c a) -> (c b)));

{-# NEED forM #-}
forM{-# 0 #-}::(Traversable a,Prelude.Monad c) => ((a b) -> ((b -> (c d)) -> (c (a d))));

{-# NEED for #-}
for{-# 0 #-}::(Traversable a,Control.Applicative.Applicative c) => ((a b) -> ((b -> (c d)) -> (c (a d))));

{-# NEED {Traversable traverse sequenceA mapM sequence} #-}
class (Prelude.Functor a,Data.Foldable.Foldable a) => Traversable a where {
  traverse{-# 2 #-}::(Control.Applicative.Applicative c) => ((b -> (c d)) -> ((a b) -> (c (a d))));
  sequenceA{-# 1 #-}::(Control.Applicative.Applicative b) => ((a (b c)) -> (b (a c)));
  mapM{-# 2 #-}::(Prelude.Monad c) => ((b -> (c d)) -> ((a b) -> (c (a d))));
  sequence{-# 1 #-}::(Prelude.Monad b) => ((a (b c)) -> (b (a c)));
};
interface Control.Applicative
{-# NEED Applicative #-}
class (Prelude.Functor a) => Applicative a;
interface Data.Foldable
{-# NEED Foldable #-}
class Foldable a;
}