Theorems · Theorem · category theory

CategoryTheory.ShiftedHom.zero_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 : C) {Y Z : C} [inst_3 : CategoryTheory.Preadditive C] (a : M) {b c : M}
  (β : CategoryTheory.ShiftedHom Y Z b) (h : b + a = c), CategoryTheory.ShiftedHom.comp 0 β h = 0

Defined in

Mathlib.CategoryTheory.Shift.ShiftedHom

Cited by

2 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryAddMonoidCategoryTheory.HasShiftCategoryTheory.Preadditive