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formal statement (Lean)
343theorem ledger_forcing_principle :
344 (∀ x : ℝ, x ≠ 0 → J x = J (x⁻¹)) ∧
345 (∀ e : RecognitionEvent, event_cost e = event_cost (reciprocal e)) ∧
346 (∀ e : RecognitionEvent, Real.log e.ratio + Real.log (reciprocal e).ratio = 0) ∧
347 (∃ L : Ledger, balanced L ∧ ledger_cost L = 0)
348 := ⟨fun _ hx => J_symmetric hx, reciprocity, paired_log_sum_zero,
proof body
Term-mode proof.
349 empty_ledger, empty_ledger_balanced, empty_ledger_cost⟩
350
351end
352end LedgerForcing
353end Foundation
354end IndisputableMonolith
depends on (19)
Lean names referenced from this declaration's body.
-
reciprocal
in IndisputableMonolith.Algebra.CostAlgebra
decl_use
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J_symmetric
in IndisputableMonolith.Foundation.CostAxioms
decl_use
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balanced
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
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empty_ledger
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
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empty_ledger_balanced
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
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empty_ledger_cost
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
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event_cost
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
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J_symmetric
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
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ledger_cost
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
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paired_log_sum_zero
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
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reciprocal
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
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reciprocity
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
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RecognitionEvent
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
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RecognitionEvent
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
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empty_ledger_cost
in IndisputableMonolith.Foundation.QuantumLedger
decl_use
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RecognitionEvent
in IndisputableMonolith.Information.InformationIsLedger
decl_use
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J_symmetric
in IndisputableMonolith.QFT.HiggsMechanism
decl_use
-
L
in IndisputableMonolith.Recognition
decl_use
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L
in IndisputableMonolith.Recognition.Cycle3
decl_use