Nat.Subtype.succ

{s : Set ℕ} → [Infinite ↑s] → [DecidablePred fun x => x ∈ s] → ↑s → ↑s

Returns the next natural in a set, according to the usual ordering of ℕ.

Defined in: Mathlib.Logic.Denumerable
Cited by: 6 results in Mathlib
Foundations: Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Infinite DecidablePred

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