Theorems · Definition · category theory

CategoryTheory.Functor.strictInv

{C : Type u_1} →
  {D : Type u_2} →
    [inst : CategoryTheory.Category.{v_1, u_1} C] →
      [inst_1 : CategoryTheory.Category.{v_2, u_2} D] →
        (F : CategoryTheory.Functor C D) → [F.IsIso] → CategoryTheory.Functor D C

The strict inverse of a functor that is an isomorphism of categories, defined using Functor.objEquiv on objects and Functor.preimage on morphisms.

Defined in

Mathlib.CategoryTheory.IsoCat

Cited by

0 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsIso