Theorems · Theorem · logic and foundations
Ordinal.foldr_le_nfpFamily
∀ {ι : Type u_1} [Small.{u, u_1} ι] (f : ι → Ordinal.{u} → Ordinal.{u}) (a : Ordinal.{u}) (l : List ι),
List.foldr f a l ≤ Ordinal.nfpFamily f a- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 2 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.
Cites4
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
- Smallstatement and proof · cited by 369
- Ordinal.nfpFamilystatement · cited by 24
- Ordinal.le_iSupproof · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.le_nfpFamilyproof · cited by 3
- Ordinal.nfpFamily_monotoneproof · cited by 1