recognition /
Constants /
Constants.AlphaExponentialForm /
explainer
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formal statement (Lean)
200 theorem alphaInv_linear_term :
201 alphaInv_of_gap 0 = alpha_seed := by
proof body
Term-mode proof.
202 unfold alphaInv_of_gap
203 simp [Real.exp_zero]
204
205 /-- The first derivative at f_gap = 0: rate of decrease is -1 per unit
206 gap (independent of α_seed at leading order). -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (22)
Lean names referenced from this declaration's body.
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
independent
in IndisputableMonolith.ClassicalBridge.Fluids.LNALSemantics
decl_use
alpha_seed
in IndisputableMonolith.Constants.Alpha
decl_use
alphaInv_of_gap
in IndisputableMonolith.Constants.AlphaExponentialForm
decl_use
alpha_seed
in IndisputableMonolith.Constants.AlphaHigherOrder
decl_use
f_gap
in IndisputableMonolith.Constants.AlphaHigherOrder
decl_use
alpha_seed
in IndisputableMonolith.Constants.AlphaPrecision
decl_use
f_gap
in IndisputableMonolith.Constants.GapWeight
decl_use
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
independent
in IndisputableMonolith.Foundation.RSCoupledAxis
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
gap
in IndisputableMonolith.Gap45.Derivation
decl_use
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
gap
in IndisputableMonolith.Masses.AnchorPolicy
decl_use
gap
in IndisputableMonolith.Masses.RSBridge.Anchor
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
f_gap
in IndisputableMonolith.Pipelines
decl_use
gap
in IndisputableMonolith.RSBridge.Anchor
decl_use