Theorems · Theorem · category theory

CategoryTheory.Abelian.Ext.contravariantSequence_exact

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C]
  [inst_2 : CategoryTheory.HasExt C] {S : CategoryTheory.ShortComplex C} (hS : S.ShortExact) (Y : C) (n₀ n₁ : ℕ)
  (h : 1 + n₀ = n₁), (CategoryTheory.Abelian.Ext.contravariantSequence hS Y n₀ n₁ h).Exact

Defined in

Mathlib.Algebra.Homology.DerivedCategory.Ext.ExactSequences

Cited by

2 results in Mathlib

Foundations

Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.AbelianCategoryTheory.HasExt