`down_generation_spacing`

proved

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module: IndisputableMonolith.Masses.QuarkScoreCard
domain: Masses
line: 82 · github
papers citing: none yet

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IndisputableMonolith.Masses.QuarkScoreCard on GitHub at line 82.

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formal source

  79  decide
  80
  81open Integers in
  82theorem down_generation_spacing :
  83    r_down "s" - r_down "d" = 11 ∧ r_down "b" - r_down "d" = 17 := by
  84  decide
  85
  86/-! ## Structural ratios that already match PDG order of magnitude
  87
  88These are theorems in `Masses.Verification`. We re-export them under
  89explicit row IDs so the scorecard can be read at a glance.
  90-/
  91
  92/-- P0-Q structural row: m_c / m_u = φ^11 (proved). -/
  93theorem row_charm_up_ratio :
  94    Verification.charm_quark_pred / Verification.up_quark_pred =
  95      Constants.phi ^ (11 : ℕ) :=
  96  Verification.charm_up_ratio
  97
  98/-- P0-Q structural row: m_t / m_c = φ^6 (proved). -/
  99theorem row_top_charm_ratio :
 100    Verification.top_quark_pred / Verification.charm_quark_pred =
 101      Constants.phi ^ (6 : ℕ) :=
 102  Verification.top_charm_ratio
 103
 104/-- P0-Q06 structural row: top mass prediction lies in (10 GeV, 1 TeV). -/
 105theorem row_top_quark_in_band :
 106    (10000 : ℝ) < Verification.top_quark_pred ∧
 107      Verification.top_quark_pred < 1000000 :=
 108  Verification.top_quark_pred_order
 109
 110/-- All quark structural predictions are positive (proved). -/
 111theorem row_quark_preds_pos :
 112    0 < Verification.up_quark_pred ∧

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