Theorems · Theorem · category theory

CategoryTheory.Functor.shiftIso_zero_hom_app

∀ {C : Type u_1} {A : Type u_3} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Category.{v_3, u_3} A] (F : CategoryTheory.Functor C A) {M : Type u_4} [inst_2 : AddMonoid M]
  [inst_3 : CategoryTheory.HasShift C M] [inst_4 : F.ShiftSequence M] (a : M) (X : C),
  (F.shiftIso 0 a a ⋯).hom.app X = (F.shift a).map ((CategoryTheory.shiftFunctorZero C M).hom.app X)

Defined in

Mathlib.CategoryTheory.Shift.ShiftSequence

Cited by

1 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryAddMonoidCategoryTheory.HasShiftCategoryTheory.Functor.ShiftSequence