Theorems · Theorem · logic and foundations
Nat.Subtype.ofNat_surjective
∀ {s : Set ℕ} [inst : Infinite ↑s] [inst_1 : DecidablePred fun x => x ∈ s], Function.Surjective (Nat.Subtype.ofNat s)- Defined in
- Mathlib.Logic.Denumerable
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- InfiniteDecidablePred
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- Bot.botproof · cited by 4,720
- le_antisymmproof · cited by 2,068
- WithBot.someproof · cited by 541
- le_of_not_gtproof · cited by 430
- Infinitestatement and proof · cited by 352
- bot_leproof · cited by 306
- WithBot.recBotCoeproof · cited by 101
- List.maximumproof · cited by 25
- Nat.Subtype.ofNatstatement and proof · cited by 9
- List.maximum_eq_botproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Nat.Subtype.ofNat_rangeproof · cited by 1