rightDerived_comp — Mathlib

English

The identity functor on the source category induces identity on the right-derived functors.

Русский

тождественный функтор порождает тождественный правый производный.

LaTeX

$$$\\mathrm{rightDerived}(\\mathrm{id}_F) = \\mathrm{id}_{\\mathrm{rightDerived}(F)}$$$

Lean4

@[simp, reassoc]
theorem rightDerived_comp {F G H : C ⥤ D} [F.Additive] [G.Additive] [H.Additive] (α : F ⟶ G) (β : G ⟶ H) (n : ℕ) :
    NatTrans.rightDerived (α ≫ β) n = NatTrans.rightDerived α n ≫ NatTrans.rightDerived β n := by
  simp [NatTrans.rightDerived]

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