Theorems · Theorem · logic and foundations
Ordinal.deriv_eq_id_of_nfp_eq_id
Deprecated since 2026-05-13Mathlib marks this declaration as deprecated.
∀ {f : Ordinal.{u} → Ordinal.{u}}, Ordinal.nfp f = id → Ordinal.deriv f = id- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 87 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.
- Ordinalstatement and proof · cited by 1,688
- Order.succ_eq_add_oneproof · cited by 115
- bot_eq_zero'proof · cited by 92
- Ordinal.nfpstatement and proof · cited by 41
- Ordinal.derivstatement and proof · cited by 26
- Ordinal.deriv_zero_rightproof · cited by 6
- Ordinal.isNormal_derivproof · cited by 5
- Order.IsNormal.ext_iffproof · cited by 4
- Ordinal.deriv_add_oneproof · cited by 3
- Order.IsNormal.idproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.deriv_zeroproof · cited by 1