recognition /
LedgerPostingAdjacency /
LedgerPostingAdjacency /
explainer
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formal statement (Lean)
146 theorem postingStep_oneBitDiff {d : Nat} {L L' : LedgerState d} (h : PostingStep (d := d) L L') :
proof body
Tactic-mode proof.
147 OneBitDiff (parity d L) (parity d L') := by
148 rcases h with ⟨k, side, rfl⟩
149 simpa using parity_oneBitDiff_of_post (d := d) L k side
150
151 /-! ## Optional deepening: a cost/legality predicate that implies `PostingStep` -/
152
153 /-- L1 cost of a ledger transition, measured as total absolute change in debit+credit counts. -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (22)
Lean names referenced from this declaration's body.
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
as
in IndisputableMonolith.Foundation.SimplicialLedger.ContinuumBridge
decl_use
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
LedgerState
in IndisputableMonolith.Foundation.VariationalDynamics
decl_use
LedgerState
in IndisputableMonolith.Information.InformationIsLedger
decl_use
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
LedgerState
in IndisputableMonolith.Information.Thermodynamics
decl_use
LedgerState
in IndisputableMonolith.LedgerPostingAdjacency
decl_use
parity
in IndisputableMonolith.LedgerPostingAdjacency
decl_use
parity_oneBitDiff_of_post
in IndisputableMonolith.LedgerPostingAdjacency
decl_use
PostingStep
in IndisputableMonolith.LedgerPostingAdjacency
decl_use
total
in IndisputableMonolith.NavierStokes.DiscreteVorticity
decl_use
that
in IndisputableMonolith.NumberTheory.PhiLadderLattice
decl_use
total
in IndisputableMonolith.NumberTheory.RiemannHypothesis.ErrorBudget
decl_use
OneBitDiff
in IndisputableMonolith.Patterns.GrayCycle
decl_use
LedgerState
in IndisputableMonolith.QFT.GaugeInvariance
decl_use
L
in IndisputableMonolith.Recognition
decl_use
L
in IndisputableMonolith.Recognition.Cycle3
decl_use