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def definition def or abbrev

SachsEquation_Extended

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formal statement (Lean)

  33def SachsEquation_Extended (P : ILG.KernelParams) (z : ℝ) (DA_func : ℝ → ℝ) (ricci_focusing : ℝ) : Prop :=

proof body

Definition body.

  34  let a := 1 / (1 + z)
  35  -- Simplified ODE form in terms of z or λ
  36  ∀ z', deriv (deriv DA_func) z' + (Upsilon P a) * ricci_focusing * DA_func z' = 0
  37
  38/-- Angular diameter distance D_A under optical rescaling.
  39    Modeled as the background distance rescaled by the Upsilon factor. -/

depends on (9)

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