∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : LinearOrderedCommMonoidWithZero α]
  [inst_1 : LinearOrderedCommMonoidWithZero β] [inst_2 : LinearOrderedCommMonoidWithZero γ] (g : β →*₀o γ)
  (f₁ f₂ : α →*₀o β), g.comp (f₁ * f₂) = g.comp f₁ * g.comp f₂