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def definition def or abbrev

ode_regularity_differentiable_hypothesis

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 474def ode_regularity_differentiable_hypothesis (H : ℝ → ℝ) : Prop :=

proof body

Definition body.

 475  (∀ t, deriv (deriv H) t = H t) → Continuous H → Differentiable ℝ H
 476
 477/-! ### Proving the regularity hypotheses
 478
 479For the linear ODE f'' = f, we can verify the regularity hypotheses hold
 480for the known solution cosh. For arbitrary solutions, we rely on general
 481ODE theory (Picard-Lindelöf). -/
 482
 483/-- cosh satisfies the ODE regularity bootstrap. -/

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