Theorems · Theorem · category theory

CategoryTheory.SingleFunctors.shiftIso_zero

∀ {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] (self : CategoryTheory.SingleFunctors C D A) (a : A),
  self.shiftIso 0 a a ⋯ = (self.functor a).isoWhiskerLeft (CategoryTheory.shiftFunctorZero D A)

shiftIso 0 is the obvious isomorphism.

Defined in

Mathlib.CategoryTheory.Shift.SingleFunctors

Cited by

2 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryAddMonoidCategoryTheory.HasShift