Theorems · Theorem · logic and foundations
Ordinal.eq_natCast_or_omega0_le
∀ (o : Ordinal.{u_4}), (∃ n, o = ↑n) ∨ Ordinal.omega0 ≤ o- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Ordinal.omega0statement and proof · cited by 197
- lt_or_geproof · cited by 182
- Ordinal.lt_omega0proof · cited by 15
Cited by3
Results whose statement or proof uses this declaration.
- Ordinal.card_opow_le_of_omega0_le_rightproof · cited by 2
- Ordinal.card_opow_leproof · cited by 1
- Ordinal.eq_nat_or_omega0_leproof · cited by 0