`chainFlux`

definition

show as: view math explainer →

module: IndisputableMonolith.RRF.Core.Recognition
domain: RRF
line: 54 · github
papers citing: none yet

open explainer

Read the cached plain-language explainer.

open lean source

IndisputableMonolith.RRF.Core.Recognition on GitHub at line 54.

browse module

All declarations in this module, on Recognition.

explainer page

A cached Ask Recognition explainer exists for this declaration.

open explainer

depends on

used by

formal source

  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

papers checked against this theorem

No papers in the current corpus map onto this theorem yet.