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theorem proved tactic proof

predicted_mass_mu_lower_v2

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formal statement (Lean)

1200theorem predicted_mass_mu_lower_v2 :
1201    (105.5 : ℝ) < predicted_mass_mu := by

proof body

Tactic-mode proof.

1202  simp only [predicted_mass_mu]
1203  have h_sm := ElectronMass.Necessity.structural_mass_bounds
1204  have h_phi := phi_pow_residue_mu_lower_v2
1205  calc (105.5 : ℝ) < 10856 * 0.00972 := by norm_num
1206    _ < electron_structural_mass * phi ^ predicted_residue_mu := by nlinarith [h_sm.1, h_phi]
1207

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