∀ {σ : Type u_1} {R : Type u_2} [inst : CommRing R] [inst_1 : UniformSpace R] {S : Type u_3} [inst_2 : CommRing S]
  [inst_3 : UniformSpace S] {φ : R →+* S} {a : σ → S} [IsTopologicalSemiring R] [IsUniformAddGroup R]
  [IsUniformAddGroup S] [CompleteSpace S] [T2Space S] [IsTopologicalRing S] [IsLinearTopology S S],
  Continuous ⇑φ →
    MvPowerSeries.HasEval a →
      ∀ (f : MvPowerSeries σ R),
        HasSum (fun d => φ ((MvPowerSeries.coeff d) f) * d.prod fun s e => a s ^ e) (MvPowerSeries.eval₂ φ a f)