Theorems · Theorem · logic and foundations
Ordinal.iSup_iterate_eq_nfp
∀ (f : Ordinal.{u} → Ordinal.{u}) (a : Ordinal.{u}), ⨆ n, f^[n] a = Ordinal.nfp f a- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- iSupstatement and proof · cited by 2,415
- le_antisymmproof · cited by 2,068
- Ordinalstatement and proof · cited by 1,688
- Nat.iteratestatement and proof · cited by 740
- Ordinal.nfpstatement and proof · cited by 41
- Ordinal.le_iSupproof · cited by 19
- Ordinal.iSup_leproof · cited by 18
- Ordinal.iSup_le_iffproof · cited by 9
- List.foldr_constproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- Ordinal.nfp_le_iffproof · cited by 2
- Ordinal.lt_nfp_iffproof · cited by 2
- Ordinal.nfp_mul_oneproof · cited by 2
- Ordinal.iterate_le_nfpproof · cited by 2
- Ordinal.nfp_zero_leftproof · cited by 1