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249 lines
5.7 KiB
Plaintext
249 lines
5.7 KiB
Plaintext
Main> Prelude.plus : Nat -> Nat -> Nat
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Add two natural numbers.
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@ x the number to case-split on
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@ y the other number
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Totality: total
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Visibility: public export
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Main> data Prelude.Nat : Type
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Natural numbers: unbounded, unsigned integers which can be pattern matched.
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Totality: total
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Visibility: public export
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Constructors:
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Z : Nat
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Zero.
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S : Nat -> Nat
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Successor.
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Hints:
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Cast Nat String
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Cast Nat Integer
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Cast Nat Int
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Cast Nat Char
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Cast Nat Double
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Cast Nat Bits8
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Cast Nat Bits16
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Cast Nat Bits32
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Cast Nat Bits64
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Cast Nat Int8
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Cast Nat Int16
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Cast Nat Int32
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Cast Nat Int64
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Cast String Nat
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Cast Double Nat
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Cast Char Nat
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Cast Int Nat
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Cast Integer Nat
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Cast Bits8 Nat
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Cast Bits16 Nat
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Cast Bits32 Nat
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Cast Bits64 Nat
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Cast Int8 Nat
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Cast Int16 Nat
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Cast Int32 Nat
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Cast Int64 Nat
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Eq Nat
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Num Nat
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Ord Nat
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Range Nat
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Show Nat
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Main> data Prelude.List : Type -> Type
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Generic lists.
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Totality: total
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Visibility: public export
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Constructors:
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Nil : List a
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Empty list
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(::) : a -> List a -> List a
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A non-empty list, consisting of a head element and the rest of the list.
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Hints:
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Alternative List
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Applicative List
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Eq a => Eq (List a)
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Foldable List
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Functor List
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Monad List
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Monoid (List a)
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Ord a => Ord (List a)
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Semigroup (List a)
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Show a => Show (List a)
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Traversable List
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Main> interface Prelude.Show : Type -> Type
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Things that have a canonical `String` representation.
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A minimal implementation includes either `show` or `showPrec`.
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Parameters: ty
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Constructor: MkShow
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Methods:
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show : ty -> String
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Convert a value to its `String` representation.
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@ x the value to convert
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showPrec : Prec -> ty -> String
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Convert a value to its `String` representation in a certain precedence
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context.
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A value should produce parentheses around itself if and only if the given
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precedence context is greater than or equal to the precedence of the
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outermost operation represented in the produced `String`. *This is
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different from Haskell*, which requires it to be strictly greater. `Open`
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should thus always produce *no* outermost parens, `App` should always
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produce outermost parens except on atomic values and those that provide
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their own bracketing, like `Pair` and `List`.
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@ d the precedence context.
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@ x the value to convert
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Implementations:
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Show Int
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Show Integer
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Show Bits8
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Show Bits16
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Show Bits32
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Show Bits64
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Show Int8
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Show Int16
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Show Int32
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Show Int64
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Show Double
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Show Char
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Show String
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Show Nat
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Show Bool
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Show Void
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Show ()
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(Show a, Show b) => Show (a, b)
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(Show a, Show (p y)) => Show (DPair a p)
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Show a => Show (List a)
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Show a => Show (Maybe a)
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(Show a, Show b) => Show (Either a b)
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Show Ordering
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Main> Prelude.show : Show ty => ty -> String
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Convert a value to its `String` representation.
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@ x the value to convert
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Totality: total
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Visibility: public export
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Main> interface Prelude.Monad : (Type -> Type) -> Type
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Monad
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@m The underlying functor
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A minimal definition includes either `(>>=)` or `join`.
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Parameters: m
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Constraints: Applicative m
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Constructor: MkMonad
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Methods:
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(>>=) : m a -> (a -> m b) -> m b
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Also called `bind`.
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Fixity Declaration: infixl operator, level 1
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join : m (m a) -> m a
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Also called `flatten` or mu.
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Implementations:
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Monad IO
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Monoid a => Monad (Pair a)
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Monad Maybe
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Monad (Either e)
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Monad List
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Main> 1 : Integer
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Primitive unsigned int value (backend-dependent precision)
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Main> String : Type
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Primitive type of strings
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Hints:
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Cast Int String
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Cast Integer String
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Cast Char String
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Cast Double String
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Cast Nat String
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Cast Int8 String
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Cast Int16 String
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Cast Int32 String
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Cast Int64 String
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Cast Bits8 String
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Cast Bits16 String
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Cast Bits32 String
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Cast Bits64 String
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Cast String Integer
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Cast String Int
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Cast String Double
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Cast String Bits8
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Cast String Bits16
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Cast String Bits32
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Cast String Bits64
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Cast String Int8
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Cast String Int16
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Cast String Int32
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Cast String Int64
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Cast String Nat
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Eq String
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FromString String
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Interpolation String
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Monoid String
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Ord String
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Semigroup String
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Show String
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Main> Integer : Type
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Primitive type of unbounded signed integers
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Hints:
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Abs Integer
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Cast Integer String
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Cast Int Integer
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Cast Char Integer
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Cast Double Integer
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Cast String Integer
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Cast Nat Integer
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Cast Bits8 Integer
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Cast Bits16 Integer
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Cast Bits32 Integer
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Cast Bits64 Integer
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Cast Int8 Integer
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Cast Int16 Integer
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Cast Int32 Integer
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Cast Int64 Integer
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Cast Integer Int
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Cast Integer Char
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Cast Integer Double
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Cast Integer Bits8
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Cast Integer Bits16
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Cast Integer Bits32
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Cast Integer Bits64
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Cast Integer Int8
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Cast Integer Int16
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Cast Integer Int32
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Cast Integer Int64
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Cast Integer Nat
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Eq Integer
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Integral Integer
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Neg Integer
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Num Integer
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Ord Integer
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Show Integer
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Main> Bits16 : Type
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Primitive type of 16 bits unsigned integers
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Hints:
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Abs Bits16
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Cast Bits16 String
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Cast Bits16 Integer
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Cast Bits16 Int
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Cast Bits16 Char
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Cast Bits16 Double
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Cast Bits16 Bits8
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Cast Int Bits16
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Cast Integer Bits16
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Cast Bits8 Bits16
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Cast Bits32 Bits16
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Cast Bits64 Bits16
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Cast String Bits16
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Cast Double Bits16
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Cast Char Bits16
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Cast Nat Bits16
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Cast Int8 Bits16
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Cast Int16 Bits16
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Cast Int32 Bits16
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Cast Int64 Bits16
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Cast Bits16 Bits32
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Cast Bits16 Bits64
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Cast Bits16 Int8
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Cast Bits16 Int16
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Cast Bits16 Int32
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Cast Bits16 Int64
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Cast Bits16 Nat
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Eq Bits16
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Integral Bits16
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Neg Bits16
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Num Bits16
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Ord Bits16
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Show Bits16
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Main> Bye for now!
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