Theorems · Theorem · logic and foundations
Ordinal.veblen_zero
Ordinal.veblen 0 = fun a => Ordinal.omega0 ^ a
- Defined in
- Mathlib.SetTheory.Ordinal.Veblen
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Ordinal.omega0statement and proof · cited by 197
- Ordinal.veblenstatement · cited by 64
- Ordinal.veblenWith_zeroproof · cited by 8
Cited by10
Results whose statement or proof uses this declaration.
- Ordinal.veblen_zero_applyproof · cited by 6
- Ordinal.invVeblen₁_veblenproof · cited by 4
- Ordinal.invVeblen₁_of_lt_opowproof · cited by 3
- Ordinal.epsilon_eq_derivproof · cited by 3
- Ordinal.mem_range_veblen_iff_le_invVeblen₁proof · cited by 2
- Ordinal.iterate_veblen_lt_gamma_zeroproof · cited by 2
- Ordinal.lt_veblenproof · cited by 2
- Ordinal.epsilon_zero_lt_gammaproof · cited by 2
- Ordinal.invVeblen₂_leproof · cited by 0
- Ordinal.veblen_eq_opow_iffproof · cited by 0