exact_iff_surjective_abToCycles — Mathlib

English

The quasi-isomorphism property satisfies the two-out-of-three rule under composition and retracts.

Русский

Свойство квазиизоморфизма удовлетворяет правилу двух из трех при композиции и retracts.

LaTeX

$$$\text{HasTwoOutOfThreeProperty}$$$

Lean4

theorem exact_iff_surjective_abToCycles : S.Exact ↔ Function.Surjective S.abToCycles :=
  by
  rw [S.abLeftHomologyData.exact_iff_epi_f', abLeftHomologyData_f', AddCommGrpCat.epi_iff_surjective]
  rfl

Похожие утверждения