Bartosz Milewski • 9/22/2025

Identity Types

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This technical article delves into dependent type theory, focusing on identity types. It explains the difference between definitional and propositional equality, how equality is represented as a type of proofs, and introduces the introduction rule (reflexivity) and elimination rule. It touches on the implications for proof theory and hints at connections to Homotopy Type Theory.

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#programming languages #type theory #Equality
Identity Types

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