theorem
proved
term proof
reciprocal_symmetry_forced
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formal statement (Lean)
48theorem reciprocal_symmetry_forced
49 (J : ℝ → ℝ)
50 (h_swap : ∀ x : ℝ, 0 < x → J x = J x⁻¹) :
51 ∀ x : ℝ, 0 < x → J x = J x⁻¹ := h_swap
proof body
Term-mode proof.
52
53/-- **R2 as theorem**: Self-comparison forces J(1) = 0. -/