Theorems · Definition · category theory

CategoryTheory.Equivalence.symm

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} → [inst_1 : CategoryTheory.Category.{v₂, u₂} D] → (C ≌ D) → (D ≌ C)

Equivalence of categories is symmetric.

Defined in

Mathlib.CategoryTheory.Equivalence

Cited by

195 results in Mathlib

Foundations

Depth 26 from the axioms, rests on 125 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category