Theorems · Inductive type · category theory

CategoryTheory.Functor.IsEquivalence

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} → [inst_1 : CategoryTheory.Category.{v₂, u₂} D] → CategoryTheory.Functor C D → Prop

A functor is an equivalence of categories if it is faithful, full and essentially surjective.

Defined in

Mathlib.CategoryTheory.Equivalence

Cited by

111 results in Mathlib

Foundations

Depth 2 from the axioms, rests on 3 definitions · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category