Theorems · Theorem · category theory

CategoryTheory.IsIso.inv_comp

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y Z : C} {f : X ⟶ Y} {h : Y ⟶ Z}
  [inst_1 : CategoryTheory.IsIso f] [inst_2 : CategoryTheory.IsIso h],
  CategoryTheory.inv (CategoryTheory.CategoryStruct.comp f h) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.inv h) (CategoryTheory.inv f)

Defined in

Mathlib.CategoryTheory.Iso

Cited by

22 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.IsIsoCategoryTheory.IsIso