Nat.sInf_upward_closed_eq_succ_iff

∀ {s : Set ℕ}, (∀ (k₁ k₂ : ℕ), k₁ ≤ k₂ → k₁ ∈ s → k₂ ∈ s) → ∀ (k : ℕ), sInf s = k + 1 ↔ k + 1 ∈ s ∧ k ∉ s

Defined in: Mathlib.Order.Lattice.Nat
Cited by: 3 results in Mathlib
Foundations: Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

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