Theorems · Theorem · logic and foundations
Ordinal.mul_le_right_iff_opow_omega0_dvd
∀ {a b : Ordinal.{u_1}}, 0 < a → (a * b ≤ b ↔ a ^ Ordinal.omega0 ∣ b)- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 · cited by 197
- LE.le.ge_iff_eq'proof · cited by 50
- Order.IsNormal.strictMonoproof · cited by 44
- StrictMono.le_applyproof · cited by 32
- Ordinal.isNormal_mul_rightproof · cited by 14
- Ordinal.mul_eq_right_iff_opow_omega0_dvdproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.