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formal statement (Lean)
58theorem c_RS_neg : c_RS < 0 := by
proof body
Term-mode proof.
59 unfold c_RS
60 have h_phi : (1 : ℝ) < Constants.phi := Constants.one_lt_phi
61 have h_log_pos : 0 < Real.log Constants.phi :=
62 Real.log_pos h_phi
63 linarith
64
65/-- The combined RS black-hole entropy with leading-log correction. -/
used by (3)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (11)
Lean names referenced from this declaration's body.
-
one_lt_phi
in IndisputableMonolith.Constants
decl_use
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c_RS
in IndisputableMonolith.Cosmology.EtaBPrefactorDerivation
decl_use
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Constants
in IndisputableMonolith.CPM.LawOfExistence
decl_use
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entropy
in IndisputableMonolith.Foundation.InitialCondition
decl_use
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c_RS
in IndisputableMonolith.Gravity.BlackHoleEntropyFromLedger
decl_use
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c_RS
in IndisputableMonolith.Gravity.PropagationSpeed
decl_use
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correction
in IndisputableMonolith.Information.QuantumChannelCapacityFromPhi
decl_use
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one_lt_phi
in IndisputableMonolith.PhiSupport
decl_use
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one_lt_phi
in IndisputableMonolith.PhiSupport.Lemmas
decl_use
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entropy
in IndisputableMonolith.Thermodynamics.BoltzmannDistribution
decl_use
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entropy
in IndisputableMonolith.Thermodynamics.PartitionFunction
decl_use