Theorems · Theorem · category theory

CategoryTheory.Functor.map_inv

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  (F : CategoryTheory.Functor C D) {X Y : C} (f : X ⟶ Y) [inst_2 : CategoryTheory.IsIso f],
  F.map (CategoryTheory.inv f) = CategoryTheory.inv (F.map f)

Defined in

Mathlib.CategoryTheory.Iso

Cited by

38 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.IsIso