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structure definition def or abbrev

Contraction

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formal statement (Lean)

  27structure Contraction where
  28  step : ℝ → ℝ
  29  contraction_rate : ℝ
  30  rate_pos : 0 < contraction_rate
  31  rate_lt_one : contraction_rate < 1
  32  contracts : ∀ x, 0 < x → |step x - 1| ≤ contraction_rate * |x - 1|
  33
  34/-- Iterated contraction converges: for n >= 1, the error shrinks. -/

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