Theorems · Theorem · logic and foundations
Ordinal.nfp_mul_one
∀ {a : Ordinal.{u_1}}, 0 < a → Ordinal.nfp (fun x => a * x) 1 = a ^ Ordinal.omega0- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- iSupproof · cited by 2,415
- Ordinalstatement and proof · cited by 1,688
- Nat.iterateproof · cited by 740
- Ordinal.omega0statement and proof · cited by 197
- Ordinal.nfpstatement · cited by 41
- mul_left_iterateproof · cited by 11
- Ordinal.iSup_iterate_eq_nfpproof · cited by 5
- Ordinal.iSup_pow_natCastproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.eq_zero_or_opow_omega0_le_of_mul_eq_rightproof · cited by 1
- Ordinal.nfp_mul_eq_opow_omega0proof · cited by 0