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lemma proved tactic proof

E_coh_rs_eq_E_coh

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formal statement (Lean)

 274lemma E_coh_rs_eq_E_coh : E_coh_rs = E_coh := by

proof body

Tactic-mode proof.

 275  simp only [E_coh_rs, phiRung, E_coh, cLagLock]
 276  -- Both are phi^(-5), but one uses zpow and the other uses rpow
 277  -- φ^(-5 : ℤ) = φ^(-5 : ℝ) for φ > 0
 278  have h : phi ^ (-5 : ℤ) = phi ^ ((-5 : ℤ) : ℝ) := by
 279    rw [← Real.rpow_intCast phi (-5)]
 280  rw [h]
 281  congr 1
 282  norm_cast
 283
 284/-! ## External Calibration (SI Bridge)
 285
 286If you want "seconds" and "meters", you must provide an explicit calibration
 287mapping RS primitives to an external unit system. This keeps the empirical
 288seam explicit and auditable.
 289-/
 290
 291/-- External calibration structure for mapping RS units to SI/other systems. -/

depends on (15)

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