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theorem proved term proof

G_rs_pos

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formal statement (Lean)

  33theorem G_rs_pos : 0 < G_rs := by

proof body

Term-mode proof.

  34  unfold G_rs
  35  apply div_pos
  36  · exact pow_pos phi_pos 5
  37  · exact Real.pi_pos
  38
  39/-! ## C-002 Resolution -/
  40
  41/-- **C-002 Resolution**: The gravitational constant is determined by φ and π.
  42
  43    G = φ⁵/π has no free parameters. It arises from the ledger geometry:
  44    - λ_rec: the fundamental recognition wavelength (ℓ₀ = 1 in RS units)
  45    - c: speed of light (1 in RS units)
  46    - ℏ: Planck constant (E_coh = φ⁻⁵ in RS units)
  47
  48    The "least precisely known" constant in SI becomes a derived quantity. -/

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