contravariantSequence_exact — Mathlib

English

Alternative covariantSequence_exact₂' and covariantSequence_exact₃' combine to give exact covariant sequence.

Русский

Комбинация covariantSequence_exact₂' и covariantSequence_exact₃' даёт точную ковариантную последовательность.

LaTeX

$$$\\text{covariantSequence\\_₃} = \\text{Exact}$$$

Lean4

theorem contravariantSequence_exact : (contravariantSequence hS Y n₀ n₁ h).Exact :=
  exact_of_δ₀ (contravariant_sequence_exact₂' hS Y n₀).exact_toComposableArrows
    (exact_of_δ₀ (contravariant_sequence_exact₁' hS Y n₀ n₁ h).exact_toComposableArrows
      (exact_of_δ₀ (contravariant_sequence_exact₃' hS Y n₀ n₁ h).exact_toComposableArrows
        (contravariant_sequence_exact₂' hS Y n₁).exact_toComposableArrows))

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