zero_comp — Mathlib

English

Same as v_XIsoOfEq_hom but listed again; the relation holds: γ.v p q hpq ≫ (XIsoOfEq G hq').hom = γ.v p q' (by rewriting).

Русский

Повторение: γ.v p q hpq ≫ (XIsoOfEq G hq').hom = γ.v p q' (перепишем).

LaTeX

$$$$\gamma_v(p,q,hpq) \circ (\mathrm{XIsoOfEq}\, G\, hq').hom = \gamma_v(p,q',hpq').$$$$

Lean4

@[simp]
protected theorem zero_comp {n₁ n₂ n₁₂ : ℤ} (z₂ : Cochain G K n₂) (h : n₁ + n₂ = n₁₂) :
    (0 : Cochain F G n₁).comp z₂ h = 0 := by
  ext p q hpq
  simp only [comp_v _ _ h p _ q rfl (by cutsat), zero_v, zero_comp]

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