Theorems · Definition · logic and foundations
Ordinal.nfp
(Ordinal.{u_1} → Ordinal.{u_1}) → Ordinal.{u_1} → Ordinal.{u_1}The next fixed point function, the least fixed point of the normal function f, at least a.
This is defined as nfpFamily applied to a family consisting only of f.
- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 41 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- Ordinal.nfpFamilyproof · cited by 24
Cited by41
Results whose statement or proof uses this declaration.
- Ordinal.deriv_zero_rightstatement · cited by 6
- Ordinal.nfp_le_fpstatement · cited by 6
- Ordinal.iSup_iterate_eq_nfpstatement and proof · cited by 5
- Ordinal.gamma_zero_eq_nfpstatement · cited by 4
- Ordinal.epsilon_zero_eq_nfpstatement and proof · cited by 4
- Ordinal.deriv_add_onestatement · cited by 3
- Ordinal.deriv_succstatement · cited by 3
- Ordinal.nfp_add_zerostatement · cited by 3
- Ordinal.iterate_le_nfpstatement · cited by 2
- Ordinal.iterate_lt_nfpstatement and proof · cited by 2
- Ordinal.nfp_fpstatement · cited by 2
- Ordinal.le_nfpstatement · cited by 2