recognition /
LedgerPostingAdjacency /
LedgerPostingAdjacency /
explainer
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formal statement (Lean)
1020 theorem stepAt_oneBitDiff {d : Nat} [AtomicTick (AccountRS d)] (sideAt : Nat → Side) (t : Nat) (L : LedgerState d) :
1021 OneBitDiff (parity d L) (parity d (stepAt (d := d) sideAt t L)) :=
proof body
Term-mode proof.
1022 postingStep_oneBitDiff (stepAt_isPostingStep (d := d) sideAt t L)
1023
1024 /-! ## A per-tick posting schedule induces an adjacent walk in parity space -/
1025
1026 /-- A per-tick posting instruction: (account index, side). -/
depends on (22)
Lean names referenced from this declaration's body.
AtomicTick
in IndisputableMonolith.Chain
decl_use
tick
in IndisputableMonolith.Constants
decl_use
tick
in IndisputableMonolith.Constants.RSNativeUnits
decl_use
A
in IndisputableMonolith.Foundation.IntegrationGap
decl_use
LedgerState
in IndisputableMonolith.Foundation.VariationalDynamics
decl_use
LedgerState
in IndisputableMonolith.Information.InformationIsLedger
decl_use
LedgerState
in IndisputableMonolith.Information.Thermodynamics
decl_use
AccountRS
in IndisputableMonolith.LedgerPostingAdjacency
decl_use
LedgerState
in IndisputableMonolith.LedgerPostingAdjacency
decl_use
parity
in IndisputableMonolith.LedgerPostingAdjacency
decl_use
postingStep_oneBitDiff
in IndisputableMonolith.LedgerPostingAdjacency
decl_use
Side
in IndisputableMonolith.LedgerPostingAdjacency
decl_use
stepAt
in IndisputableMonolith.LedgerPostingAdjacency
decl_use
stepAt_isPostingStep
in IndisputableMonolith.LedgerPostingAdjacency
decl_use
A
in IndisputableMonolith.Masses.Anchor
decl_use
A
in IndisputableMonolith.Modal.Actualization
decl_use
OneBitDiff
in IndisputableMonolith.Patterns.GrayCycle
decl_use
LedgerState
in IndisputableMonolith.QFT.GaugeInvariance
decl_use
AtomicTick
in IndisputableMonolith.Recognition
decl_use
L
in IndisputableMonolith.Recognition
decl_use
L
in IndisputableMonolith.Recognition.Cycle3
decl_use
AtomicTick
in IndisputableMonolith.RRF.Core.Recognition
decl_use