Theorems · Theorem · category theory

CategoryTheory.ShiftedHom.map_comp

∀ {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 Z : C} {a b c : M}
  (f : CategoryTheory.ShiftedHom X Y a) (g : CategoryTheory.ShiftedHom Y Z b) (h : b + a = c)
  (F : CategoryTheory.Functor C D) [inst_5 : F.CommShift M], (f.comp g h).map F = (f.map F).comp (g.map F) h

Defined in

Mathlib.CategoryTheory.Shift.ShiftedHom

Cited by

5 results in Mathlib

Foundations

Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryAddMonoidCategoryTheory.HasShiftCategoryTheory.HasShiftCategoryTheory.Functor.CommShift