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inductive

FermionSector

definition
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module
IndisputableMonolith.RecogSpec.RSLedger
domain
RecogSpec
line
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IndisputableMonolith.RecogSpec.RSLedger on GitHub at line 88.

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formal source

  85/-! ## Fermion Sectors -/
  86
  87/-- The three fermion sectors -/
  88inductive FermionSector : Type
  89  | leptons | upQuarks | downQuarks
  90  deriving DecidableEq, Repr
  91
  92/-- Base rung for each sector.
  93
  94These are derived from the charge structure Z:
  95- Leptons: base = 2
  96- Up quarks: base = 4
  97- Down quarks: base = 4
  98-/
  99def sectorBaseRung : FermionSector → ℤ
 100  | .leptons => 2
 101  | .upQuarks => 4
 102  | .downQuarks => 4
 103
 104/-! ## RSLedger Structure -/
 105
 106/-- A ledger with the full φ-tier structure needed for mass derivation.
 107
 108This extends the minimal `Ledger` with:
 109- Generation torsion function
 110- Sector base rungs
 111- Full rung assignment
 112-/
 113structure RSLedger where
 114  /-- The underlying ledger -/
 115  toLedger : Ledger
 116  /-- Generation torsion offsets -/
 117  torsion : Generation → ℤ
 118  /-- Base rung for each sector -/