Theorems · Theorem · logic and foundations
Ordinal.mul_omega0_dvd
∀ {a : Ordinal.{u}}, 0 < a → a < Ordinal.omega0 → ∀ {b : Ordinal.{u}}, Ordinal.omega0 ∣ b → a * b = b- Defined in
- Mathlib.SetTheory.Ordinal.Principal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 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
- mul_assocproof · cited by 1,667
- Ordinal.omega0statement and proof · cited by 197
- Ordinal.mul_omega0proof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- ONote.repr_opow_aux₂proof · cited by 1