Theorems · Theorem · logic and foundations
Ordinal.iterate_veblen_lt_gamma_zero
∀ (n : ℕ), (fun a => Ordinal.veblen a 0)^[n] 0 < Ordinal.gamma 0
veblen (veblen … (veblen 0 0) … 0) 0 < Γ₀
- Defined in
- Mathlib.SetTheory.Ordinal.Veblen
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Nat.iteratestatement and proof · cited by 740
- Ordinal.omega0proof · cited by 197
- Ordinal.veblenstatement and proof · cited by 64
- Ordinal.opow_zeroproof · cited by 38
- Ordinal.gammastatement · cited by 27
- Ordinal.veblen_zeroproof · cited by 10
- Ordinal.veblen_zero_strictMonoproof · cited by 4
- Ordinal.gamma_zero_eq_nfpproof · cited by 4
- Ordinal.iterate_lt_nfpproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.epsilon_zero_lt_gammaproof · cited by 2
- Ordinal.iterate_veblen_lt_gamma0proof · cited by 0