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Foundation /
Foundation.TimeEmergence /
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formal statement (Lean)
87 def arrow_of_time (s₁ s₂ : LedgerSnapshot) : Prop :=
proof body
Definition body.
88 before s₁ s₂ ∧ s₂.defect ≤ s₁.defect
89
90 /-- **Theorem (F-006)**: The arrow of time is well-defined.
91 If defect decreases along the tick sequence, the temporal
92 ordering and the thermodynamic arrow agree. -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (19)
Lean names referenced from this declaration's body.
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
tick
in IndisputableMonolith.Constants
decl_use
tick
in IndisputableMonolith.Constants.RSNativeUnits
decl_use
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
defect
in IndisputableMonolith.Foundation.LawOfExistence
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
before
in IndisputableMonolith.Foundation.TimeEmergence
decl_use
LedgerSnapshot
in IndisputableMonolith.Foundation.TimeEmergence
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
and
in IndisputableMonolith.NumberTheory.CirclePhaseLift
decl_use
F
in IndisputableMonolith.Physics.AnchorPolicy
decl_use
F
in IndisputableMonolith.Physics.LeptonGenerations.TauStepDerivation
decl_use
F
in IndisputableMonolith.Pipelines
decl_use
arrow_of_time
in IndisputableMonolith.Unification.SpacetimeEmergence
decl_use