Theorems · Theorem · category theory

CategoryTheory.ShiftedHom.map_add

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {D : Type u_2}
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] {M : Type u_4} [inst_2 : AddMonoid M]
  [inst_3 : CategoryTheory.HasShift C M] [inst_4 : CategoryTheory.HasShift D M] {X Y : C}
  [inst_5 : CategoryTheory.Preadditive C] [inst_6 : CategoryTheory.Preadditive D] {a : M}
  (α₁ α₂ : CategoryTheory.ShiftedHom X Y a) (F : CategoryTheory.Functor C D) [inst_7 : F.CommShift M] [F.Additive],
  (α₁ + α₂).map F = α₁.map F + α₂.map F

Defined in

Mathlib.CategoryTheory.Shift.ShiftedHom

Cited by

1 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryAddMonoidCategoryTheory.HasShiftCategoryTheory.HasShiftCategoryTheory.PreadditiveCategoryTheory.PreadditiveCategoryTheory.Functor.CommShiftCategoryTheory.Functor.Additive