interface Data.Ix where {

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

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

{-# 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.Num (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 (Prelude.Read a,Prelude.Integral a) => Prelude.Read (Ratio.Ratio a);

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

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

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

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

{-# 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 (Prelude.Integral a) => Prelude.Ord (Ratio.Ratio a);
interface NHC.Internal
{-# NEED IO #-}
newtype {-#  #-} IO a;

{-# NEED World #-}
data World;
interface Ratio
{-# NEED Ratio #-}
data Ratio a;
interface ! Ix
{-# NEED {Ix range index inRange rangeSize} #-}
class (Prelude.Ord a) => Ix a where {
  range{-# 1 #-}::((a,a) -> [a]);
  index{-# 2 #-}::((a,a) -> (a -> Prelude.Int));
  inRange{-# 2 #-}::((a,a) -> (a -> Prelude.Bool));
  rangeSize{-# 1 #-}::((a,a) -> Prelude.Int);
};
}