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structure definition def or abbrev

MathlibNNOCert

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formal statement (Lean)

  35structure MathlibNNOCert where
  36  exists_rec :
  37    ∀ {α : Type*} (base : α) (step : α → α),
  38      ∃ (f : LogicNat → α),
  39        f LogicNat.zero = base ∧
  40        ∀ n, f (LogicNat.succ n) = step (f n)
  41  unique_rec :
  42    ∀ {α : Type*} (base : α) (step : α → α)
  43      (f g : LogicNat → α),
  44      f LogicNat.zero = base → (∀ n, f (LogicNat.succ n) = step (f n)) →
  45      g LogicNat.zero = base → (∀ n, g (LogicNat.succ n) = step (g n)) →
  46      f = g
  47

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