Theorems · Theorem · category theory

CategoryTheory.Abelian.Ext.comp_add

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C]
  [inst_2 : CategoryTheory.HasExt C] {X Y Z : C} {n : ℕ} (α : CategoryTheory.Abelian.Ext X Y n) {m : ℕ}
  (β₁ β₂ : CategoryTheory.Abelian.Ext Y Z m) {p : ℕ} (h : n + m = p), α.comp (β₁ + β₂) h = α.comp β₁ h + α.comp β₂ h

Defined in

Mathlib.Algebra.Homology.DerivedCategory.Ext.Basic

Cited by

2 results in Mathlib

Foundations

Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.AbelianCategoryTheory.HasExt