Theorems · Theorem · category theory

CategoryTheory.Abelian.Ext.smul_comp

∀ {R : Type t} [inst : Ring R] {C : Type u} [inst_1 : CategoryTheory.Category.{v, u} C]
  [inst_2 : CategoryTheory.Abelian C] [inst_3 : CategoryTheory.Linear R C] [inst_4 : CategoryTheory.HasExt C]
  {X Y Z : C} {a b : ℕ} (α : CategoryTheory.Abelian.Ext X Y a) (β : CategoryTheory.Abelian.Ext Y Z b) {c : ℕ}
  (h : a + b = c) (r : R), (r • α).comp β h = r • α.comp β h

Defined in

Mathlib.Algebra.Homology.DerivedCategory.Ext.Linear

Cited by

2 results in Mathlib

Foundations

Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingCategoryTheory.CategoryCategoryTheory.AbelianCategoryTheory.LinearCategoryTheory.HasExt