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structure definition def or abbrev

Tick

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formal statement (Lean)

  36structure Tick where
  37  index : ℕ
  38  deriving DecidableEq
  39
  40/-- Ticks are ordered by their index. This IS time — no background manifold. -/
  41instance : LE Tick := ⟨fun a b => a.index ≤ b.index⟩

proof body

Definition body.

  42instance : LT Tick := ⟨fun a b => a.index < b.index⟩
  43instance : DecidableRel (· ≤ · : Tick → Tick → Prop) := fun a b => Nat.decLe a.index b.index
  44instance : DecidableRel (· < · : Tick → Tick → Prop) := fun a b => Nat.decLt a.index b.index
  45
  46/-- A ledger epoch: one complete 8-tick cycle. -/

used by (40)

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depends on (14)

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