Theorems · Theorem · logic and foundations
Ordinal.isNormal_derivFamily
∀ {ι : Type u_1} [Small.{u, u_1} ι] (f : ι → Ordinal.{u} → Ordinal.{u}), Order.IsNormal (Ordinal.derivFamily f)- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Small
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Set.Elemproof · cited by 7,166
- Set.imageproof · cited by 5,609
- iSupproof · cited by 2,415
- Ordinalstatement and proof · cited by 1,688
- Set.Iioproof · cited by 1,166
- Order.succproof · cited by 633
- Smallstatement and proof · cited by 369
- IsLUBproof · cited by 280
- Order.IsSuccLimitproof · cited by 255
- Order.IsNormalstatement · cited by 118
- Set.image_eq_rangeproof · cited by 57
Cited by5
Results whose statement or proof uses this declaration.
- Ordinal.isNormal_derivproof · cited by 5
- Ordinal.derivFamily_eq_enumOrdproof · cited by 2
- Ordinal.le_iff_derivFamilyproof · cited by 2
- Ordinal.derivFamily_strictMonoproof · cited by 1
- Ordinal.isNormal_veblenWith'proof · cited by 1