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formal statement (Lean)
95theorem lambda_pos : lambda > 0 := by
proof body
Term-mode proof.
96 have h : 1 < phi := one_lt_phi
97 exact Real.log_pos h
98
99/-! ## Canonical one-loop beta/gamma kernels (Level-B groundwork) -/
100
101/-- One-loop QCD beta coefficient in the convention `beta0 = 11 - 2*nf/3`. -/
used by (12)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (14)
Lean names referenced from this declaration's body.
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one_lt_phi
in IndisputableMonolith.Constants
decl_use
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gamma
in IndisputableMonolith.Constants.EulerMascheroni
decl_use
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one
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
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one
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
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gamma
in IndisputableMonolith.NetworkScience.SmallWorldFromSigma
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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beta0
in IndisputableMonolith.Physics.QCDRGE.AlphaRunning
decl_use
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lambda
in IndisputableMonolith.Physics.RGTransport
decl_use
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one
in IndisputableMonolith.QFT.SpinStatistics
decl_use
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one
in IndisputableMonolith.RecogSpec.Core
decl_use
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beta
in IndisputableMonolith.Relativity.ILG.PPN
decl_use
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gamma
in IndisputableMonolith.Relativity.ILG.PPN
decl_use
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beta
in IndisputableMonolith.Thermodynamics.PartitionFunction
decl_use