recognition /
Cosmology /
Cosmology.Inflation /
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formal statement (Lean)
77 noncomputable def slowRollEta (φ : ℝ) (hφ : φ > 0) : ℝ :=
proof body
Definition body.
78 -- V''(φ) = 1/φ³
79 let V := inflatonPotential φ hφ
80 let Vpp := 1 / φ^3
81 if V > 0 then Vpp / V else 0
82
83 /-- **THEOREM (Slow Roll at Large φ)**: For large φ, ε → 0.
84 This means inflation is natural at large field values. -/
used by (4)
From the project-wide theorem graph. These declarations reference this one in their body.
spectralIndex
in IndisputableMonolith.Cosmology.Inflation
decl_use
InflatonCert
in IndisputableMonolith.Cosmology.InflatonPotentialStructural
decl_use
slowRollEta
in IndisputableMonolith.Cosmology.InflatonPotentialStructural
decl_use
slowRollEta_pos
in IndisputableMonolith.Cosmology.InflatonPotentialStructural
decl_use
depends on (9)
Lean names referenced from this declaration's body.
inflatonPotential
in IndisputableMonolith.Cosmology.Inflation
decl_use
V
in IndisputableMonolith.Cosmology.InflatonPotentialFromJCost
decl_use
slowRollEta
in IndisputableMonolith.Cosmology.InflatonPotentialStructural
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
V
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
V
in IndisputableMonolith.RRF.Core.Glossary
decl_use