Theorems · Theorem · category theory

CategoryTheory.Functor.map_hom_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],
  CategoryTheory.CategoryStruct.comp (F.map f) (F.map (CategoryTheory.inv f)) =
    CategoryTheory.CategoryStruct.id (F.obj X)

Defined in

Mathlib.CategoryTheory.Iso

Cited by

2 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.IsIso