Theorems · Theorem · category theory

CategoryTheory.ShiftedHom.add_comp

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {M : Type u_4} [inst_1 : AddMonoid M]
  [inst_2 : CategoryTheory.HasShift C M] {X Y Z : C} [inst_3 : CategoryTheory.Preadditive C] {a b c : M}
  (α₁ α₂ : CategoryTheory.ShiftedHom X Y a) (β : CategoryTheory.ShiftedHom Y Z b) (h : b + a = c),
  (α₁ + α₂).comp β h = α₁.comp β h + α₂.comp β h

Defined in

Mathlib.CategoryTheory.Shift.ShiftedHom

Cited by

3 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryAddMonoidCategoryTheory.HasShiftCategoryTheory.Preadditive