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structure definition def or abbrev

AngleCouplingAxioms

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formal statement (Lean)

 312structure AngleCouplingAxioms (H : ℝ → ℝ) : Prop where
 313  /-- Aθ1: d'Alembert functional equation -/
 314  dAlembert : ∀ t u, H (t+u) + H (t-u) = 2 * H t * H u
 315  /-- Aθ2: Continuity -/
 316  continuous : Continuous H
 317  /-- Aθ3: Normalization -/
 318  normalized : H 0 = 1
 319  /-- Aθ4: Calibration (selects cosine branch) -/
 320  calibrated : deriv (deriv H) 0 = -1
 321
 322/-- **Standard Regularity Bundle for Angle Coupling**
 323
 324Packages the Aczél theory hypotheses. -/

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