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formal statement (Lean)
41noncomputable def beta_growth (k tau0 : ℝ) : ℝ :=
proof body
Definition body.
42 (2 / 3) * phi ^ (-(3/2 : ℝ)) * (k * tau0) ^ (-alphaLock)
43
44/-- β is positive for positive k and τ₀. -/
used by (7)
From the project-wide theorem graph. These declarations reference this one in their body.
-
beta_growth_pos
in IndisputableMonolith.Gravity.ILGGrowthFactor
decl_use
-
D_growth
in IndisputableMonolith.Gravity.ILGGrowthFactor
decl_use
-
D_growth_ge_a
in IndisputableMonolith.Gravity.ILGGrowthFactor
decl_use
-
f_growth
in IndisputableMonolith.Gravity.ILGGrowthFactor
decl_use
-
f_growth_gr_limit
in IndisputableMonolith.Gravity.ILGGrowthFactor
decl_use
-
f_growth_gt_one
in IndisputableMonolith.Gravity.ILGGrowthFactor
decl_use
-
GrowthFactorCert
in IndisputableMonolith.Gravity.ILGGrowthFactor
decl_use
depends on (10)
Lean names referenced from this declaration's body.
-
tau0
in IndisputableMonolith.Compat.Constants
decl_use
-
alphaLock
in IndisputableMonolith.Constants
decl_use
-
tau0
in IndisputableMonolith.Constants
decl_use
-
tau0
in IndisputableMonolith.Constants.Derivation
decl_use
-
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
-
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
-
for
in IndisputableMonolith.Foundation.UniversalForcingSelfReference
decl_use
-
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
-
and
in IndisputableMonolith.NumberTheory.CirclePhaseLift
decl_use