d_eq — Mathlib

English

Restriction of the cochain complex to degrees ≤ -1 is isomorphic to K: restrictionLEIso.

Русский

Ограничение коцепного комплекса до степеней ≤ -1 изоморфно K: restrictionLEIso.

LaTeX

$$restrictionLEIso : h.cochainComplex.restriction (ComplexShape.embeddingUpIntLE (-1)) ≅ K$$

Lean4

theorem d_eq {i j : Option ι} {a b : ι} (hi : i = some a) (hj : j = some b) :
    d K i j = (XIso K hi).hom ≫ K.d a b ≫ (XIso K hj).inv :=
  by
  subst hi hj
  simp [XIso, X, d]

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