∀ {p : ℕ} {f : CauSeq ℚ (padicNorm p)} (motive : (∃ ε > 0, ∃ N1, ∀ j ≥ N1, ε ≤ padicNorm p (↑f j)) → Prop)
  (this : ∃ ε > 0, ∃ N1, ∀ j ≥ N1, ε ≤ padicNorm p (↑f j)),
  (∀ (ε : ℚ) (hε : ε > 0) (N1 : ℕ) (hN1 : ∀ j ≥ N1, ε ≤ padicNorm p (↑f j)), motive ⋯) → motive this