Theorems · Theorem · logic and foundations
Ordinal.deriv_eq_enumOrd
∀ {f : Ordinal.{u} → Ordinal.{u}}, Order.IsNormal f → Ordinal.deriv f = Ordinal.enumOrd (Function.fixedPoints f)Ordinal.deriv enumerates the fixed points of a normal function.
- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Ordinalstatement and proof · cited by 1,688
- Set.iInterproof · cited by 1,084
- Order.IsNormalstatement and proof · cited by 118
- Function.fixedPointsstatement and proof · cited by 90
- Ordinal.derivstatement and proof · cited by 26
- Ordinal.enumOrdstatement and proof · cited by 23
- Ordinal.derivFamilyproof · cited by 18
- Set.iInter_constproof · cited by 4
- Ordinal.derivFamily_eq_enumOrdproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.veblenWith_add_oneproof · cited by 3