∀ (M : Type u) [inst : CommMonoid M] [inst_1 : TopologicalSpace M],
  Filter.Tendsto (Function.uncurry fun x1 x2 => x1 * x2) (nhds 1 ×ˢ nhds 1) (nhds 1) →
    (∀ (x₀ : M), nhds x₀ = Filter.map (fun x => x₀ * x) (nhds 1)) → ContinuousMul M