`T2_atomicity`

proved

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module: IndisputableMonolith.Chain
domain: Chain
line: 47 · github
papers citing: none yet

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IndisputableMonolith.Chain on GitHub at line 47.

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formal source

  44  conserve : ∀ ch : Chain M, ch.head = ch.last → chainFlux L ch = 0
  45
  46/-- ## T2 (Atomicity): unique posting per tick implies no collision at a tick. -/
  47theorem T2_atomicity {M} [AtomicTick M] :
  48  ∀ t u v, AtomicTick.postedAt (M:=M) t u → AtomicTick.postedAt (M:=M) t v → u = v := by
  49  intro t u v hu hv
  50  rcases (AtomicTick.unique_post (M:=M) t) with ⟨w, hw, huniq⟩
  51  have hu' : u = w := huniq u hu
  52  have hv' : v = w := huniq v hv
  53  exact hu'.trans hv'.symm
  54
  55theorem T3_continuity {M} (L : Ledger M) [Conserves L] :
  56  ∀ ch : Chain M, ch.head = ch.last → chainFlux L ch = 0 := Conserves.conserve
  57
  58end IndisputableMonolith

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