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def definition def or abbrev

aczelRegularityKernel

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formal statement (Lean)

  28noncomputable def aczelRegularityKernel [AczelSmoothnessPackage] (H : ℝ → ℝ) :
  29    AczelRegularityKernel H where
  30  smooth := dAlembert_smooth_of_aczel H

proof body

Definition body.

  31  ode := by
  32    intro h_one h_cont h_dAlembert h_d2_zero
  33    have h_smooth : ContDiff ℝ ⊤ H :=
  34      dAlembert_smooth_of_aczel H h_one h_cont h_dAlembert
  35    exact dAlembert_to_ODE_theorem H h_smooth h_dAlembert h_d2_zero
  36
  37/-- Convenience projection: the smoothness theorem exported by the kernel. -/

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