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Functors: Identity, Composition, and fmap


An introduction to Functors in Haskell, exploring how fmap allows function application within wrapped contexts like Maybe and lists.

This law ensures that Functors don’t introduce any unexpected changes or side effects when traversing their structure with a function that shouldn’t modify anything. By following the identity and composition laws, they ensure predictable behavior and maintain structure while enabling clean, concise, and expressive code. By leveraging fmap, we can seamlessly work with values inside different contexts, making functional programming more flexible and easier to reason about.

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