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formal statement (Lean)
79structure DefectMonotone (states : ℕ → LedgerSnapshot) : Prop where
80 tick_ordered : ∀ n, (states n).tick.index ≤ (states (n + 1)).tick.index
81 defect_decreasing : ∀ n,
82 (states (n + 1)).tick.index = (states n).tick.index + 1 →
83 (states (n + 1)).defect ≤ (states n).defect
84
85/-- The arrow of time is the direction of defect decrease.
86 Time "flows" from higher defect to lower defect. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (15)
Lean names referenced from this declaration's body.
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of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
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tick
in IndisputableMonolith.Constants
decl_use
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tick
in IndisputableMonolith.Constants.RSNativeUnits
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Time
in IndisputableMonolith.Constants.RSNativeUnits
decl_use
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of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
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defect
in IndisputableMonolith.Foundation.LawOfExistence
decl_use
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
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of
in IndisputableMonolith.Foundation.PhiForcingDerived
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from
in IndisputableMonolith.Foundation.PrimitiveDistinction
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
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of
in IndisputableMonolith.Foundation.SpectralEmergence
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LedgerSnapshot
in IndisputableMonolith.Foundation.TimeEmergence
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
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of
in IndisputableMonolith.Information.PhysicsComplexityStructure
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
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