theorem
proved
term proof
etherington_duality_preserved
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formal statement (Lean)
52theorem etherington_duality_preserved (z : ℝ) (bg_DA bg_DL : ℝ) (P : ILG.KernelParams)
53 (h_bg_dual : bg_DL = (1 + z)^2 * bg_DA) :
54 DL_rescaled z bg_DL P = (1 + z)^2 * DA_rescaled z bg_DA P := by
proof body
Term-mode proof.
55 unfold DL_rescaled
56 rw [h_bg_dual]
57 field_simp
58 ring
59
60/-- Theorem: Optical rescaling reduces to GR when the coupling C = 0. -/