Theorems · Theorem · logic and foundations
Ordinal.le_of_dvd
∀ {a b : Ordinal.{u_4}}, b ≠ 0 → a ∣ b → a ≤ b- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- MulZeroClass.mul_zeroproof · cited by 2,091
- Ordinalstatement and proof · cited by 1,688
- mul_le_mul_rightproof · cited by 47
- Order.one_le_iff_ne_zeroproof · cited by 32
Cited by3
Results whose statement or proof uses this declaration.
- ONote.NF.of_dvd_omega0_opowproof · cited by 1
- Ordinal.dvd_antisymmproof · cited by 0
- Ordinal.opow_dvd_opow_iffproof · cited by 0