have h3 : ContinuousOn (norm ∘ g) K := continuous_norm.comp_continuousOn hg
𝕜 : Type u_1
ι : Type u_2
α : Type u_3
s K : Set α
inst✝¹ : NormedField 𝕜
F G : ι → α → 𝕜
f g : α → 𝕜
x y : 𝕜
η η' : ℝ
p : Filter ι
mf mg : ℝ
inst✝ : TopologicalSpace α
hF : TendstoUniformlyOn F f p K
hG : TendstoUniformlyOn G g p K
hf : ContinuousOn f K
hg : ContinuousOn g K
hK : IsCompact K
h : Set.Nonempty K
h2 : ContinuousOn (norm ∘ f) K
⊢ TendstoUniformlyOn (F * G) (f * g) p K
𝕜 : Type u_1
ι : Type u_2
α : Type u_3
s K : Set α
inst✝¹ : NormedField 𝕜
F G : ι → α → 𝕜
f g : α → 𝕜
x y : 𝕜
η η' : ℝ
p : Filter ι
mf mg : ℝ
inst✝ : TopologicalSpace α
hF : TendstoUniformlyOn F f p K
hG : TendstoUniformlyOn G g p K
hf : ContinuousOn f K
hg : ContinuousOn g K
hK : IsCompact K
h : Set.Nonempty K
h2 : ContinuousOn (norm ∘ f) K
h3 : ContinuousOn (norm ∘ g) K
⊢ TendstoUniformlyOn (F * G) (f * g) p K