Theorems · Theorem · number theory
Nat.leRecOn_surjective
∀ {C : ℕ → Sort u_1} {n m : ℕ} (hnm : n ≤ m) (next : {k : ℕ} → C k → C (k + 1)),
(∀ (n : ℕ), Function.Surjective next) → Function.Surjective (Nat.leRecOn hnm fun {k} => next)- Defined in
- Mathlib.Data.Nat.Basic
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- Foundations
- Depth 21 from the axioms · uses propext
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- Nat.leRecOnstatement and proof · cited by 13
- Nat.leRecOn_selfproof · cited by 5
- Nat.leRecOn_succproof · cited by 4
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