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def definition def or abbrev

slowRollEpsilon

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formal statement (Lean)

  68noncomputable def slowRollEpsilon (φ : ℝ) (hφ : φ > 0) : ℝ :=

proof body

Definition body.

  69  -- V'(φ) = (1 - 1/φ²) / 2
  70  -- V(φ) = (φ + 1/φ) / 2 - 1
  71  let V := inflatonPotential φ hφ
  72  let Vp := (1 - 1/φ^2) / 2
  73  if V > 0 then (Vp / V)^2 / 2 else 0
  74
  75/-- Second slow-roll parameter η = V''/V.
  76    Inflation requires |η| < 1. -/

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