∀ {V₁ : Type u_2} {V₂ : Type u_1} [inst : SeminormedAddCommGroup V₁] [inst_1 : SeminormedAddCommGroup V₂]
  {f : NormedAddGroupHom V₁ V₂} {C : ℝ} (x : V₂) (_a : V₁) (motive : f _a = x ∧ ‖_a‖ ≤ C * ‖x‖ → Prop)
  (x_1 : f _a = x ∧ ‖_a‖ ≤ C * ‖x‖), (∀ (ha : f _a = x) (right : ‖_a‖ ≤ C * ‖x‖), motive ⋯) → motive x_1