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def

totalCarriers

definition
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module
IndisputableMonolith.Physics.StandardModelGroupStructure
domain
Physics
line
45 · github
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IndisputableMonolith.Physics.StandardModelGroupStructure on GitHub at line 45.

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formal source

  42theorem w_boson_count : wBosonCount = 3 := by decide
  43
  44/-- Total force carriers: 8 + 3 + 1 = 12 (before EWSB). -/
  45def totalCarriers : ℕ := gluonCount + wBosonCount + rankU1
  46theorem total_carriers_eq : totalCarriers = 12 := by decide
  47
  48structure SMGroupCert where
  49  five_types : Fintype.card SMGaugeBosonType = 5
  50  rank_decomp : rankSU3 + rankSU2 + rankU1 = 6
  51  gluon_8 : gluonCount = 8
  52  total_12 : totalCarriers = 12
  53
  54def smGroupCert : SMGroupCert where
  55  five_types := smGaugeBosonCount
  56  rank_decomp := totalRank
  57  gluon_8 := gluon_count
  58  total_12 := total_carriers_eq
  59
  60end IndisputableMonolith.Physics.StandardModelGroupStructure