Theorems · Theorem · category theory

CategoryTheory.Functor.CommShift.commShiftIso_add

∀ {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} (F : CategoryTheory.Functor C D) {A : Type u_6} {inst_2 : AddMonoid A}
  {inst_3 : CategoryTheory.HasShift C A} {inst_4 : CategoryTheory.HasShift D A} [self : F.CommShift A] (a b : A),
  CategoryTheory.Functor.commShiftIso F (a + b) =
    CategoryTheory.Functor.CommShift.isoAdd (CategoryTheory.Functor.commShiftIso F a)
      (CategoryTheory.Functor.commShiftIso F b)

Defined in

Mathlib.CategoryTheory.Shift.CommShift

Cited by

3 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Functor.CommShift