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formal statement (Lean)
79noncomputable def pageEntropy (bh : EvolvingBlackHole) : ℝ :=
proof body
Definition body.
80 if bh.evaporation_fraction ≤ pageTime then
81 radiationEntropyNaive bh
82 else
83 remainingEntropy bh
84
85/-- **THEOREM**: Page entropy is maximized at f = 1/2. -/
used by (6)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (13)
Lean names referenced from this declaration's body.
-
entropy
in IndisputableMonolith.Foundation.InitialCondition
decl_use
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
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pageEntropy
in IndisputableMonolith.Gravity.BlackHoleInformationPreservation
decl_use
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pageTime
in IndisputableMonolith.Gravity.BlackHoleInformationPreservation
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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EvolvingBlackHole
in IndisputableMonolith.Quantum.PageCurve
decl_use
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pageTime
in IndisputableMonolith.Quantum.PageCurve
decl_use
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radiationEntropyNaive
in IndisputableMonolith.Quantum.PageCurve
decl_use
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remainingEntropy
in IndisputableMonolith.Quantum.PageCurve
decl_use
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entropy
in IndisputableMonolith.Thermodynamics.BoltzmannDistribution
decl_use
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entropy
in IndisputableMonolith.Thermodynamics.PartitionFunction
decl_use