`LedgerAlgebra`

definition

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module: IndisputableMonolith.RRF.Foundation.Ledger
domain: RRF
line: 201 · github
papers citing: none yet

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IndisputableMonolith.RRF.Foundation.Ledger on GitHub at line 201.

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formal source

 198/-! ## Ledger Algebra Summary -/
 199
 200/-- The complete ledger algebra bundle. -/
 201structure LedgerAlgebra where
 202  /-- The transaction type. -/
 203  transaction : Type := Transaction
 204  /-- The ledger type. -/
 205  ledger : Type := Ledger
 206  /-- Transactions are balanced. -/
 207  transactions_balanced : ∀ t : Transaction, t.debit + t.credit = 0 := fun t => t.balanced
 208  /-- Ledgers are balanced. -/
 209  ledgers_balanced : ∀ L : Ledger, L.net = 0 := fun L => L.global_balance
 210  /-- Double-entry holds. -/
 211  double_entry : DoubleEntry := double_entry_exists
 212
 213/-- The ledger algebra is consistent. -/
 214theorem ledger_algebra_consistent : Nonempty LedgerAlgebra := ⟨{}⟩
 215
 216end RRF.Foundation
 217end IndisputableMonolith

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