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theorem proved term proof

mellin_pullback_pointwise

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formal statement (Lean)

  89theorem mellin_pullback_pointwise
  90    {f : ℝ → ℝ} (hf : ReciprocalSymmetric f) (s : ℝ) (x : ℝ) (hx : 0 < x) :
  91    f x * x ^ (s - 1) = f x⁻¹ * x ^ (s - 1) := by

proof body

Term-mode proof.

  92  rw [hf x hx]
  93
  94/-- The reflection-substitution: under `x ↦ 1/x`, the kernel
  95    transforms as if `s → 1 - s` after accounting for the Jacobian. -/

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