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theorem proved term proof

nuclear_exceeds_chemical

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formal statement (Lean)

  93theorem nuclear_exceeds_chemical : E_chemical < E_nuclear := by

proof body

Term-mode proof.

  94  unfold E_chemical E_nuclear phi_rung_energy chemical_rung nuclear_rung
  95  simp only [zpow_zero, mul_one]
  96  apply lt_mul_of_one_lt_right E_coh_storage_pos
  97  exact one_lt_zpow₀ one_lt_phi (by norm_num)
  98
  99/-- The nuclear-to-chemical energy ratio is φ^45. -/

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