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1. mapReaderT :: (m a -> n b) -> ReaderT r m a -> ReaderT r n b

   mtl	Control.Monad.Reader

   Transform the computation inside a ReaderT.

   • runReaderT (mapReaderT f m) = f .
     runReaderT m

2. mapState :: ((a, s) -> (b, s)) -> State s a -> State s b

   mtl	Control.Monad.State.Lazy

   Map both the return value and final state of a computation using the given function.

   • runState (mapState f m) = f . runState
     m

3. mapStateT :: (m (a, s) -> n (b, s)) -> StateT s m a -> StateT s n b

   mtl	Control.Monad.State.Lazy

   Map both the return value and final state of a computation using the given function.

   • runStateT (mapStateT f m) = f .
     runStateT m

4. mapState :: ((a, s) -> (b, s)) -> State s a -> State s b

   mtl	Control.Monad.State.Strict

   Map both the return value and final state of a computation using the given function.

   • runState (mapState f m) = f . runState
     m

5. mapStateT :: (m (a, s) -> n (b, s)) -> StateT s m a -> StateT s n b

   mtl	Control.Monad.State.Strict

   Map both the return value and final state of a computation using the given function.

   • runStateT (mapStateT f m) = f .
     runStateT m

6. mapWriter :: (Monoid w, Monoid w') => ((a, w) -> (b, w')) -> Writer w a -> Writer w' b

   mtl	Control.Monad.Writer.CPS

   Map both the return value and output of a computation using the given function.

   • runWriter (mapWriter f m) = f (runWriter
     m)

7. mapWriterT :: (Monad n, Monoid w, Monoid w') => (m (a, w) -> n (b, w')) -> WriterT w m a -> WriterT w' n b

   mtl	Control.Monad.Writer.CPS

   Map both the return value and output of a computation using the given function.

   • runWriterT (mapWriterT f m) = f
     (runWriterT m)

8. mapWriter :: ((a, w) -> (b, w')) -> Writer w a -> Writer w' b

   mtl	Control.Monad.Writer.Lazy

   Map both the return value and output of a computation using the given function.

   • runWriter (mapWriter f m) = f (runWriter
     m)

9. mapWriterT :: (m (a, w) -> n (b, w')) -> WriterT w m a -> WriterT w' n b

   mtl	Control.Monad.Writer.Lazy

   Map both the return value and output of a computation using the given function.

   • runWriterT (mapWriterT f m) = f
     (runWriterT m)

10. mapWriter :: ((a, w) -> (b, w')) -> Writer w a -> Writer w' b

    mtl	Control.Monad.Writer.Strict

    Map both the return value and output of a computation using the given function.

    • runWriter (mapWriter f m) = f (runWriter
      m)

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