What are the functor laws in Haskell?
An example of an AI chatbot conversation about functor laws in Haskell programming.
What are the functor laws in Haskell?
In Haskell, functor laws are rules that any functor must obey. They ensure consistency in how functors behave.
What are the two main functor laws?
The two main functor laws are: 1) Identity law: fmap id = id, and 2) Composition law: fmap (f . g) = fmap f . fmap g.
Can you explain the identity law with an example?
Sure! The identity law states that if you apply fmap with the identity function, the result should be the same as the original functor. For example, fmap id (Just 5) results in Just 5.
What about the composition law?
The composition law means that if you have two functions, f and g, and you apply fmap to their composition, it should be the same as applying fmap to each function separately. For instance, fmap (f . g) (Just 5) should equal fmap f (fmap g (Just 5)).
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