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def definition def or abbrev

ode_regularity_continuous_hypothesis

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formal statement (Lean)

 467def ode_regularity_continuous_hypothesis (H : ℝ → ℝ) : Prop :=

proof body

Definition body.

 468  (∀ t, deriv (deriv H) t = H t) → Continuous H
 469
 470/-- **ODE regularity: differentiable solutions.**
 471
 472    For f'' = f with f continuous, f is differentiable.
 473    This follows from the ODE: f' exists since f'' = f requires f' to exist first. -/

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