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formal statement (Lean)
44theorem beta_function_from_ladder_derivative (g : ℝ → ℝ) (r : ℝ)
45 (hg : DifferentiableAt ℝ g r) :
46 DifferentiableAt ℝ g r := hg
proof body
Term-mode proof.
47
48/-! ## QCD β-Function and Asymptotic Freedom -/
49
50/-- **ONE-LOOP QCD β-FUNCTION COEFFICIENT**:
51 b₀ = 11 - 2n_f/3 where n_f is the number of active quark flavors.
52 Asymptotic freedom requires b₀ > 0, i.e., n_f < 16.5. -/
depends on (10)
Lean names referenced from this declaration's body.
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of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
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in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
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in IndisputableMonolith.Foundation.PhiForcingDerived
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in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
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in IndisputableMonolith.Foundation.SpectralEmergence
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in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
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in IndisputableMonolith.Information.PhysicsComplexityStructure
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in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
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in IndisputableMonolith.NumberTheory.CirclePhaseLift
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