Theorems · Theorem · logic and foundations
Ordinal.nfp_mul_eq_opow_omega0
∀ {a b : Ordinal.{u_1}}, 0 < b → b ≤ a ^ Ordinal.omega0 → Ordinal.nfp (fun x => a * x) b = a ^ Ordinal.omega0- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- le_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- Ordinalstatement and proof · cited by 1,688
- Ordinal.omega0statement and proof · cited by 197
- LE.le.not_gtproof · cited by 189
- eq_zero_or_posproof · cited by 54
- Ordinal.nfpstatement and proof · cited by 41
- Order.one_le_iff_posproof · cited by 27
- Ordinal.isNormal_mul_rightproof · cited by 14
- Ordinal.zero_opowproof · cited by 13
- Order.IsNormal.monotoneproof · cited by 11
- Ordinal.omega0_ne_zeroproof · cited by 10
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