Theorems · Theorem · logic and foundations
Ordinal.veblenWith_add_one
∀ {f : Ordinal.{u} → Ordinal.{u}},
Order.IsNormal f → ∀ (o : Ordinal.{u}), Ordinal.veblenWith f (o + 1) = Ordinal.deriv (Ordinal.veblenWith f o)- Defined in
- Mathlib.SetTheory.Ordinal.Veblen
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Elemproof · cited by 7,166
- Set.extproof · cited by 2,266
- Ordinalstatement and proof · cited by 1,688
- LT.lt.ne'proof · cited by 1,417
- Set.Iioproof · cited by 1,166
- zero_lt_oneproof · cited by 598
- Order.IsNormalstatement and proof · cited by 118
- Function.fixedPointsproof · cited by 90
- Set.mem_iInterproof · cited by 69
- Order.lt_succproof · cited by 45
- Ordinal.veblenWithstatement and proof · cited by 34
- Ordinal.derivstatement · cited by 26
Cited by3
Results whose statement or proof uses this declaration.
- Ordinal.veblen_add_oneproof · cited by 2
- Ordinal.veblenWith_oneproof · cited by 0
- Ordinal.veblenWith_succproof · cited by 0