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Proving Algebraic Datatypes are “Algebraic”

The set of types which can be defined in a language together with +++ and ∗*∗ form an “algebraic structure” in the mathematical sense, hence the name. It means the definitions of +++ and ∗*∗ have to satisfy properties such as commutativity or the existence of neutral elements. In this article, we prove the sum and prod Coq types satisfy these properties.

equ equiv inl inr intros ltac prod qed rst type_equiv

12 Jul 2020

Thomas Letan’s Blog

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