Theorems · Theorem · category theory

CategoryTheory.shiftFunctorComm_eq

∀ (C : Type u) {A : Type u_1} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : AddCommMonoid A]
  [inst_2 : CategoryTheory.HasShift C A] (i j k : A) (h : i + j = k),
  CategoryTheory.shiftFunctorComm C i j =
    (CategoryTheory.shiftFunctorAdd' C i j k h).symm ≪≫ CategoryTheory.shiftFunctorAdd' C j i k ⋯

Defined in

Mathlib.CategoryTheory.Shift.Basic

Cited by

8 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryAddCommMonoidCategoryTheory.HasShift