Theorems · Theorem · logic and foundations
Ordinal.isSuccLimit_iff_omega0_dvd
Deprecated since 2026-02-01Use Ordinal.isSuccPrelimit_iff_omega0_dvd instead.
∀ {a : Ordinal.{u_4}}, Order.IsSuccLimit a ↔ a ≠ 0 ∧ Ordinal.omega0 ∣ a- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement and proof · cited by 1,688
- Order.IsSuccLimitstatement · cited by 255
- Ordinal.omega0statement and proof · cited by 197
- Ordinal.isSuccLimit_iffproof · cited by 6
- Ordinal.isSuccPrelimit_iff_omega0_dvdproof · cited by 2
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