Theorems · Theorem · logic and foundations
Ordinal.nfpFamily_fp
∀ {ι : Type u_1} {f : ι → Ordinal.{u} → Ordinal.{u}} [Small.{u, u_1} ι] {i : ι},
Order.IsNormal (f i) → ∀ (a : Ordinal.{u}), f i (Ordinal.nfpFamily f a) = Ordinal.nfpFamily f a- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Small
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LE.le.transproof · cited by 3,151
- iSupproof · cited by 2,415
- le_antisymmproof · cited by 2,068
- Ordinalstatement and proof · cited by 1,688
- Smallstatement and proof · cited by 369
- Order.IsNormalstatement and proof · cited by 118
- Order.IsNormal.strictMonoproof · cited by 44
- StrictMono.le_applyproof · cited by 32
- Ordinal.nfpFamilystatement · cited by 24
- Ordinal.le_iSupproof · cited by 19
- Ordinal.bddAbove_of_smallproof · cited by 19
- Ordinal.iSup_leproof · cited by 18
Cited by4
Results whose statement or proof uses this declaration.
- Ordinal.derivFamily_fpproof · cited by 3
- Ordinal.not_bddAbove_fp_familyproof · cited by 2
- Ordinal.nfp_fpproof · cited by 2
- Ordinal.apply_le_nfpFamilyproof · cited by 0