Theorems · Theorem · logic and foundations
Ordinal.veblen_veblen_of_lt
∀ {o₁ o₂ : Ordinal.{u}}, o₁ < o₂ → ∀ (a : Ordinal.{u}), Ordinal.veblen o₁ (Ordinal.veblen o₂ a) = Ordinal.veblen o₂ a- Defined in
- Mathlib.SetTheory.Ordinal.Veblen
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.veblenstatement · cited by 64
- Ordinal.one_lt_omega0proof · cited by 39
- Ordinal.isNormal_opowproof · cited by 37
- Ordinal.veblenWith_veblenWith_of_ltproof · cited by 9
Cited by4
Results whose statement or proof uses this declaration.
- Ordinal.invVeblen₁_veblenproof · cited by 4
- Ordinal.invVeblen₂_veblenproof · cited by 3
- Ordinal.mem_range_veblen_iff_le_invVeblen₁proof · cited by 2
- Ordinal.veblen_eq_opow_iffproof · cited by 0