theorem
proved
term proof
ode_regularity_differentiable_of_smooth
show as:
view Lean formalization →
formal statement (Lean)
138theorem ode_regularity_differentiable_of_smooth {H : ℝ → ℝ} (h : ContDiff ℝ ⊤ H) :
139 ode_regularity_differentiable_hypothesis H :=
proof body
Term-mode proof.
140 fun _ _ => (h.of_le le_top : ContDiff ℝ 1 H).differentiable
141 (by decide : (1 : WithTop ℕ∞) ≠ 0)
142
143/-- ODE regularity (5): any H with ContDiff ℝ ⊤ satisfies `ode_linear_regularity_bootstrap_hypothesis`. -/