Theorems · Definition · category theory

CategoryTheory.eqToIso

{C : Type u₁} → [inst : CategoryTheory.Category.{v₁, u₁} C] → {X Y : C} → X = Y → (X ≅ Y)

An equality X = Y gives us an isomorphism X ≅ Y. It is typically better to use this, rather than rewriting by the equality then using Iso.refl _ which usually leads to dependent type theory hell.

Defined in

Mathlib.CategoryTheory.EqToHom

Cited by

97 results in Mathlib

Foundations

Depth 10 from the axioms, rests on 52 definitions · uses propext

Assumes

CategoryTheory.Category