Theorems · Theorem · logic and foundations
Ordinal.nfp_zero_left
Deprecated since 2026-05-13Mathlib marks this declaration as deprecated.
∀ (a : Ordinal.{u_1}), Ordinal.nfp 0 a = a- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 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.
- le_reflproof · cited by 2,061
- Ordinalstatement and proof · cited by 1,688
- Nat.iterateproof · cited by 740
- LE.le.antisymmproof · cited by 507
- Function.iterate_succ'proof · cited by 56
- Ordinal.nfpstatement · cited by 41
- Ordinal.le_iSupproof · cited by 19
- Ordinal.iSup_leproof · cited by 18
- Ordinal.iSup_iterate_eq_nfpproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.nfp_zeroproof · cited by 1