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theorem

hyper_gen_count

proved
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module
IndisputableMonolith.Foundation.SMGaugeAlgebra
domain
Foundation
line
47 · github
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IndisputableMonolith.Foundation.SMGaugeAlgebra on GitHub at line 47.

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  44
  45theorem strong_gen_count : factorGenCount .strong = 8 := by decide
  46theorem weak_gen_count : factorGenCount .weak = 3 := by decide
  47theorem hyper_gen_count : factorGenCount .hyperY = 1 := by decide
  48
  49/-- Total SM gauge-generator count. -/
  50def smTotalGenCount : ℕ :=
  51  factorGenCount .strong + factorGenCount .weak + factorGenCount .hyperY
  52
  53theorem sm_total_gen_count : smTotalGenCount = 12 := by decide
  54
  55/-- Number of SM gauge factors = 3, matching the cube-automorphism
  56three-layer decomposition. -/
  57theorem factor_count : Fintype.card SMGaugeFactor = 3 := by decide
  58
  59structure SMGaugeAlgebraCert where
  60  strong : factorGenCount .strong = 8
  61  weak : factorGenCount .weak = 3
  62  hyperY : factorGenCount .hyperY = 1
  63  total : smTotalGenCount = 12
  64  factor_count : Fintype.card SMGaugeFactor = 3
  65
  66/-- SM gauge-algebra certificate. -/
  67def smGaugeAlgebraCert : SMGaugeAlgebraCert where
  68  strong := strong_gen_count
  69  weak := weak_gen_count
  70  hyperY := hyper_gen_count
  71  total := sm_total_gen_count
  72  factor_count := factor_count
  73
  74end SMGaugeAlgebra
  75end Foundation
  76end IndisputableMonolith