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class definition def or abbrev

AczelSmoothnessPackage

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formal statement (Lean)

  37class AczelSmoothnessPackage : Prop where
  38  smooth_of_dAlembert :
  39    ∀ (H : ℝ → ℝ),
  40      H 0 = 1 →
  41      Continuous H →
  42      (∀ t u, H (t + u) + H (t - u) = 2 * H t * H u) →
  43      ContDiff ℝ ⊤ H
  44
  45/-- Smoothness of continuous d'Alembert solutions, parameterized by an
  46`AczelSmoothnessPackage` instance. -/

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