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Home/ Questions/Q 6895391
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Editorial Team
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Editorial Team
Asked: May 27, 20262026-05-27T06:54:09+00:00 2026-05-27T06:54:09+00:00

(m >>= f) >>= g = m >>= (\x -> f x >>= g)

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(m >>= f) >>= g = m >>= (\x -> f x >>= g)

what’s different from f and \x->f x ??

I think they’re the same type a -> m b. but it seems that the second >>= at right side of equation treats the type of \x->f x as m b.
what’s going wrong?

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  1. Editorial Team
    Editorial Team
    2026-05-27T06:54:10+00:00Added an answer on May 27, 2026 at 6:54 am

    The expressions f and \x -> f x do, for most purposes, mean the same thing. However, the scope of a lambda expression extends as far to the right as possible, i.e. m >>= (\x -> (f x >>= g)).

    If the types are m :: m a, f :: a -> m b, and g :: b -> m c, then on the left we have (m >>= f) :: m b, and on the right we have (\x -> f x >>= g) :: a -> m c.

    So, the difference between the two expressions is just which order the (>>=) operations are performed, much like the expressions 1 + (2 + 3) and (1 + 2) + 3 differ only in the order in which the additions are performed.

    The monad laws require that, like addition, the answer should be the same for both.

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