Theorems · Theorem · logic and foundations
Ordinal.isPrincipal_mul_of_le_two
∀ {o : Ordinal.{u}}, o ≤ 2 → Ordinal.IsPrincipal (fun x1 x2 => x1 * x2) o- Defined in
- Mathlib.SetTheory.Ordinal.Principal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.IsPrincipalstatement · cited by 92
- Ordinal.isPrincipal_zeroproof · cited by 5
- Ordinal.isPrincipal_mul_twoproof · cited by 2
- Ordinal.isPrincipal_mul_oneproof · cited by 2
- Order.le_two_iffproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.isPrincipal_mul_iff_le_two_or_omega0_opow_opowproof · cited by 1
- Ordinal.principal_mul_of_le_twoproof · cited by 0