Theorems · Theorem · logic and foundations
Ordinal.derivFamily_fp
∀ {ι : Type u_1} {f : ι → Ordinal.{u} → Ordinal.{u}} [Small.{u, u_1} ι] {i : ι},
Order.IsNormal (f i) → ∀ (o : Ordinal.{u}), f i (Ordinal.derivFamily f o) = Ordinal.derivFamily f o- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 84 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.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Elemproof · cited by 7,166
- iSupproof · cited by 2,415
- Ordinalstatement and proof · cited by 1,688
- Set.Iioproof · cited by 1,166
- Smallstatement and proof · cited by 369
- Order.IsSuccLimitproof · cited by 255
- Order.IsNormalstatement and proof · cited by 118
- eq_of_forall_ge_iffproof · cited by 96
- Set.Nonempty.to_subtypeproof · cited by 55
- Ordinal.limitRecOnproof · cited by 20
- Ordinal.bddAbove_of_smallproof · cited by 19
- Ordinal.derivFamilystatement and proof · cited by 18
Cited by3
Results whose statement or proof uses this declaration.
- Ordinal.derivFamily_eq_enumOrdproof · cited by 2
- Ordinal.le_iff_derivFamilyproof · cited by 2
- Ordinal.deriv_fpproof · cited by 2