  66  lo_le_hi := by norm_num
  67}
  68
  69def cert_mu : ResidueCert := {
  70  f := mu,
  71  lo := 1403/100,  -- 14.03
  72  hi := 1404/100,  -- 14.04
  73  lo_le_hi := by norm_num
  74}
  75
  76def cert_tau : ResidueCert := {
  77  f := tau,
  78  lo := 1389/100,  -- 13.89
  79  hi := 1390/100,  -- 13.90
  80  lo_le_hi := by norm_num
  81}
  82
  83/-! ## Quark Certificates
  84    Quarks show the Quarter-Ladder vs Integer-Rung tension.
  85    Theoretical target: F(276) ≈ 10.71 (up) or F(24) ≈ 5.74 (down)
  86-/
  87
  88def cert_u : ResidueCert := {
  89  f := u,
  90  lo := 1170/100,  -- 11.70
  91  hi := 1171/100,  -- 11.71
  92  lo_le_hi := by norm_num
  93}
  94
  95def cert_c : ResidueCert := {
  96  f := c,
  97  -- NOTE: Charm matches Lepton gap (13.95), not Up gap (10.71)!
  98  -- This suggests Charm has special structure or the Quarter-Ladder applies.
  99  lo := 1395/100,

papers checked against this theorem

No papers in the current corpus map onto this theorem yet.