Theorems · Theorem · logic and foundations
Ordinal.isPrincipal_mul_omega0_opow_opow
∀ (o : Ordinal.{u_1}), Ordinal.IsPrincipal (fun x1 x2 => x1 * x2) (Ordinal.omega0 ^ Ordinal.omega0 ^ o)- Defined in
- Mathlib.SetTheory.Ordinal.Principal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 99 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.
- Ordinalstatement and proof · cited by 1,688
- Ordinal.omega0statement · cited by 197
- Ordinal.IsPrincipalstatement · cited by 92
- Ordinal.isPrincipal_mul_iff_mul_left_eqproof · cited by 3
- Ordinal.mul_omega0_opow_opowproof · 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_omega0_opow_opowproof · cited by 0