Theorems · Theorem · category theory

CategoryTheory.SingleFunctors.inv_hom_id_hom_app

∀ {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] {A : Type u_5} [inst_2 : AddMonoid A]
  [inst_3 : CategoryTheory.HasShift D A] {F G : CategoryTheory.SingleFunctors C D A} (e : F ≅ G) (n : A) (X : C),
  CategoryTheory.CategoryStruct.comp ((e.inv.hom n).app X) ((e.hom.hom n).app X) =
    CategoryTheory.CategoryStruct.id ((G.functor n).obj X)

Defined in

Mathlib.CategoryTheory.Shift.SingleFunctors

Cited by

1 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryAddMonoidCategoryTheory.HasShift