Theorems · Theorem · category theory

CategoryTheory.Abelian.SpectralObject.homologyDataIdId_left_H

∀ {C : Type u_1} {ι : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} ι] [inst_2 : CategoryTheory.Abelian C]
  (X : CategoryTheory.Abelian.SpectralObject C ι) {i j : ι} (f : i ⟶ j) (n₀ n₁ n₂ : ℤ)
  (hn₁ : autoParam (n₀ + 1 = n₁) CategoryTheory.Abelian.SpectralObject.homologyDataIdId._auto_1)
  (hn₂ : autoParam (n₁ + 1 = n₂) CategoryTheory.Abelian.SpectralObject.homologyDataIdId._auto_3),
  (X.homologyDataIdId f n₀ n₁ n₂ hn₁ hn₂).left.H = (X.H n₁).obj (CategoryTheory.ComposableArrows.mk₁ f)

Defined in

Mathlib.Algebra.Homology.SpectralObject.Page

Cited by

0 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Abelian