Theorems · Theorem · logic and foundations
Ordinal.nfp_add_eq_mul_omega0
∀ {a b : Ordinal.{u_1}}, 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 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
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
- zero_leproof · cited by 382
- Ordinal.omega0statement and proof · cited by 197
- Ordinal.nfpstatement and proof · cited by 41
- Ordinal.isNormal_add_rightproof · cited by 13
- Order.IsNormal.monotoneproof · cited by 11
- mul_one_addproof · cited by 6
- Ordinal.nfp_le_fpproof · cited by 6
- Ordinal.one_add_omega0proof · cited by 5
- Ordinal.nfp_add_zeroproof · cited by 3
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