no goals
α : Type u_2
β : Type u_1
l : Filter α
k f g g' : α → β
inst✝³ : TopologicalSpace β
inst✝² : CommSemiring β
inst✝¹ : ContinuousAdd β
inst✝ : ContinuousMul β
hf : SuperpolynomialDecay l k f
p✝ p q : β[X]
hp : SuperpolynomialDecay l k fun x => eval (k x) p * f x
hq : SuperpolynomialDecay l k fun x => eval (k x) q * f x
⊢ SuperpolynomialDecay l k fun x => eval (k x) (p + q) * f x
simpa [add_mul] using hp.add hq
no goals
α : Type u_2
β : Type u_1
l : Filter α
k f g g' : α → β
inst✝³ : TopologicalSpace β
inst✝² : CommSemiring β
inst✝¹ : ContinuousAdd β
inst✝ : ContinuousMul β
hf : SuperpolynomialDecay l k f
p : β[X]
n : ℕ
c : β
⊢ SuperpolynomialDecay l k fun x => eval (k x) (↑(monomial n) c) * f x
simpa [mul_assoc] using (hf.param_pow_mul n).const_mul c