Nat.Subtype.orderIsoOfNat

(s : Set ℕ) → [Infinite ↑s] → ℕ ≃o ↑s

Nat.Subtype.ofNat as an order isomorphism between ℕ and an infinite subset. See also Nat.nth for a version where the subset may be finite.

Defined in: Mathlib.Order.OrderIsoNat
Cited by: 4 results in Mathlib
Foundations: Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Infinite

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