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def definition def or abbrev

succ

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formal statement (Lean)

  80@[simp] def succ (n : LogicNat) : LogicNat := .step n

proof body

Definition body.

  81
  82/-! ## 3. Peano Axioms as Theorems
  83
  84Each axiom is a theorem of the inductive structure. None is posited.
  85-/
  86
  87/-- **Peano P1 (zero is not a successor)**: the identity is
  88distinguishable from any iterate of the generator. -/

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