∀ {R : Type u_1} {C : Type u_2} [inst : Semiring R] [inst_1 : CategoryTheory.Category.{v_1, u_2} C]
  [inst_2 : CategoryTheory.Preadditive C] [inst_3 : CategoryTheory.Linear R C] {S₁ S₂ : CategoryTheory.ShortComplex C}
  (φ : S₁ ⟶ S₂) (h₁ : S₁.LeftHomologyData) (h₂ : S₂.LeftHomologyData) (a : R),
  CategoryTheory.ShortComplex.leftHomologyMap' (a • φ) h₁ h₂ = a • CategoryTheory.ShortComplex.leftHomologyMap' φ h₁ h₂