∀ (K : Type u_2) [inst : NormedField K] (L : Type u_1) [inst_1 : Field L] [inst_2 : Algebra K L]
  [h_fin : FiniteDimensional K L] [hu : IsUltrametricDist K] (x y : L),
  ⨆ σ, (IsUltrametricDist.algNormOfAlgEquiv σ) (x * y) ≤
    (⨆ σ, (IsUltrametricDist.algNormOfAlgEquiv σ) x) * ⨆ σ, (IsUltrametricDist.algNormOfAlgEquiv σ) y