Theorems · Theorem · logic and foundations
Ordinal.isSuccLimit_of_isPrincipal_mul
∀ {o : Ordinal.{u}}, 2 < o → Ordinal.IsPrincipal (fun x1 x2 => x1 * x2) o → Order.IsSuccLimit o- Defined in
- Mathlib.SetTheory.Ordinal.Principal
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- ne_of_gtproof · cited by 637
- LT.lt.transproof · cited by 370
- Order.IsSuccLimitstatement · cited by 255
- Ordinal.IsPrincipalstatement and proof · cited by 92
- one_lt_twoproof · cited by 67
- Ordinal.isSuccLimit_of_isPrincipal_addproof · cited by 4
- Ordinal.isPrincipal_add_of_isPrincipal_mulproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Ordinal.isPrincipal_mul_iff_mul_left_eqproof · cited by 3
- Ordinal.mul_eq_opow_log_succproof · cited by 0
- Ordinal.isSuccLimit_of_principal_mulproof · cited by 0