Theorems · Theorem · category theory

CategoryTheory.Abelian.SpectralObject.cyclesIsoH.congr_simp

∀ {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) {i₀ i₁ : ι} (f : i₀ ⟶ i₁) (n₀ n₁ n₁_1 : ℤ) (e_n₁ : n₁ = n₁_1)
  (hn₁ : n₀ + 1 = n₁), X.cyclesIsoH f n₀ n₁ hn₁ = X.cyclesIsoH f n₀ n₁_1 ⋯

Defined in

Mathlib.Algebra.Homology.SpectralObject.Page

Cited by

0 results in Mathlib

Foundations

Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Abelian