`Chain`

definition

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module: IndisputableMonolith.RRF.Core.Recognition
domain: RRF
line: 44 · github
papers citing: none yet

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IndisputableMonolith.RRF.Core.Recognition on GitHub at line 44.

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All declarations in this module, on Recognition.

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formal source

  41abbrev RecognitionStructure := Recognition.RecognitionStructure
  42
  43/-- Re-export: Chain of recognition steps. -/
  44abbrev Chain := Recognition.Chain
  45
  46/-- Re-export: Ledger for double-entry. -/
  47abbrev RecogLedger := Recognition.Ledger
  48
  49/-- Re-export: Phi (net balance) function. -/
  50def phi {M : RecognitionStructure} (L : Recognition.Ledger M) : M.U → ℤ :=
  51  Recognition.phi L
  52
  53/-- Re-export: Chain flux. -/
  54def chainFlux {M : RecognitionStructure} (L : Recognition.Ledger M) (ch : Recognition.Chain M) : ℤ :=
  55  Recognition.chainFlux L ch
  56
  57/-- Re-export: Atomic tick class. -/
  58abbrev AtomicTick := Recognition.AtomicTick
  59
  60/-- Re-export: Atomicity theorem (T2). -/
  61theorem T2_atomicity {M : RecognitionStructure} [Recognition.AtomicTick M] :
  62    ∀ t u v, Recognition.AtomicTick.postedAt (M:=M) t u → Recognition.AtomicTick.postedAt (M:=M) t v → u = v :=
  63  Recognition.T2_atomicity
  64
  65/-- The bridge theorem: chainFlux is zero for balanced ledgers. -/
  66theorem chainFlux_zero_of_balanced {M : RecognitionStructure} (L : Recognition.Ledger M)
  67    (ch : Recognition.Chain M) (hbal : ∀ u, L.debit u = L.credit u) :
  68    Recognition.chainFlux L ch = 0 :=
  69  Recognition.chainFlux_zero_of_balanced L ch hbal
  70
  71end RRF.Core
  72end IndisputableMonolith

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