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formal statement (Lean)
86theorem alpha_s_positive (α_s_anchor b₀ μ μ_star : ℝ)
87 (hα : 0 < α_s_anchor)
88 (hdenom : 0 < 1 + b₀ / (2 * Real.pi) * α_s_anchor * Real.log (μ / μ_star)) :
89 0 < alpha_s_running α_s_anchor b₀ μ μ_star := by
proof body
Term-mode proof.
90 unfold alpha_s_running
91 exact div_pos hα hdenom
92
93/-- **RS ANCHOR SCALE**: μ* = 182.201 GeV (stationarity point of RG). -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (9)
Lean names referenced from this declaration's body.
-
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
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alpha_s_positive
in IndisputableMonolith.Constants.StrongCoupling
decl_use
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of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
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of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
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of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
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of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
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point
in IndisputableMonolith.Numerics.Interval.Basic
decl_use
-
alpha_s_running
in IndisputableMonolith.Physics.QCDRGE.AlphaRunning
decl_use
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alpha_s_running
in IndisputableMonolith.Physics.RunningCouplings
decl_use