Theorems · Theorem · order theory
Nat.coe_orderEmbeddingOfSet
∀ {s : Set ℕ} [inst : Infinite ↑s] [inst_1 : DecidablePred fun x => x ∈ s],
⇑(Nat.orderEmbeddingOfSet s) = Subtype.val ∘ Nat.Subtype.ofNat s- Defined in
- Mathlib.Order.OrderIsoNat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- InfiniteDecidablePred
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- OrderEmbeddingstatement · cited by 619
- Infinitestatement and proof · cited by 352
- Nat.Subtype.ofNatstatement · cited by 9
- Nat.orderEmbeddingOfSetstatement · cited by 5
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