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theorem proved term proof

top_to_up_ratio

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formal statement (Lean)

 141theorem top_to_up_ratio :
 142    rs_mass_MeV .UpQuark (r_up "t") / rs_mass_MeV .UpQuark (r_up "u") =
 143    Constants.phi ^ (17 : ℕ) := by

proof body

Term-mode proof.

 144  simp only [r_up, tau, Anchor.E_passive, Anchor.W, passive_field_edges,
 145             cube_edges, active_edges_per_tick, D, wallpaper_groups]
 146  unfold rs_mass_MeV
 147  simp only [B_pow, r0, Anchor.E_passive, Anchor.W, passive_field_edges,
 148             cube_edges, active_edges_per_tick, D, wallpaper_groups, A]
 149  have hphi := Constants.phi_pos
 150  have hphi_ne : Constants.phi ≠ 0 := ne_of_gt hphi
 151  field_simp
 152  rw [← zpow_natCast, ← zpow_add₀ hphi_ne]
 153  congr 1
 154
 155/-! ## Certificate -/
 156

depends on (20)

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