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structure definition def or abbrev

ZeroCompositionLaw

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formal statement (Lean)

  44structure ZeroCompositionLaw where
  45  H : ℝ → ℝ
  46  H_zero : H 0 = 1
  47  continuous : Continuous H
  48  dAlembert : ∀ t u : ℝ, H (t + u) + H (t - u) = 2 * H t * H u
  49  curvature : deriv (deriv H) 0 = 1
  50  smooth_hyp : dAlembert_continuous_implies_smooth_hypothesis H
  51  ode_hyp : dAlembert_to_ODE_hypothesis H
  52  cont_hyp : ode_regularity_continuous_hypothesis H
  53  diff_hyp : ode_regularity_differentiable_hypothesis H
  54  bootstrap_hyp : ode_linear_regularity_bootstrap_hypothesis H
  55
  56/-- Any instantiated zero-composition law is forced to be `cosh`. -/

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