recognition /
LedgerPostingAdjacency /
LedgerPostingAdjacency /
explainer
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formal statement (Lean)
163 def LegalAtomicTick {d : Nat} (L L' : LedgerState d) : Prop :=
proof body
Definition body.
164 MonotoneLedger (d := d) L L' ∧ ledgerL1Cost (d := d) L L' = 1
165
166 /-! ## Optional deepening: Jlog-cost version (closer to RS cost than L1) -/
167
168 /-- A Jlog-based step cost over integer ledger deltas (cast to ℝ). -/
used by (7)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (18)
Lean names referenced from this declaration's body.
step
in IndisputableMonolith.Complexity.CellularAutomata
decl_use
Jlog
in IndisputableMonolith.Cost
decl_use
Jlog
in IndisputableMonolith.Cost.FlogEL
decl_use
Jlog
in IndisputableMonolith.Cost.Jlog
decl_use
A
in IndisputableMonolith.Foundation.IntegrationGap
decl_use
cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
LedgerState
in IndisputableMonolith.Foundation.VariationalDynamics
decl_use
LedgerState
in IndisputableMonolith.Information.InformationIsLedger
decl_use
LedgerState
in IndisputableMonolith.Information.Thermodynamics
decl_use
ledgerL1Cost
in IndisputableMonolith.LedgerPostingAdjacency
decl_use
LedgerState
in IndisputableMonolith.LedgerPostingAdjacency
decl_use
MonotoneLedger
in IndisputableMonolith.LedgerPostingAdjacency
decl_use
A
in IndisputableMonolith.Masses.Anchor
decl_use
A
in IndisputableMonolith.Modal.Actualization
decl_use
LedgerState
in IndisputableMonolith.QFT.GaugeInvariance
decl_use
L
in IndisputableMonolith.Recognition
decl_use
L
in IndisputableMonolith.Recognition.Cycle3
decl_use