Theorems · Theorem · category theory

CategoryTheory.Iso.hom_inv_id_app

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {F G : CategoryTheory.Functor C D} (α : F ≅ G) (X : C),
  CategoryTheory.CategoryStruct.comp (α.hom.app X) (α.inv.app X) = CategoryTheory.CategoryStruct.id (F.obj X)

Defined in

Mathlib.CategoryTheory.NatIso

Cited by

62 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category