Theorems · Theorem · logic and foundations
Ordinal.epsilon_zero_eq_nfp
Ordinal.epsilon 0 = Ordinal.nfp (fun a => Ordinal.omega0 ^ a) 0
- Defined in
- Mathlib.SetTheory.Ordinal.Veblen
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.nfpstatement and proof · cited by 41
- Ordinal.epsilonstatement · cited by 18
- Ordinal.deriv_zero_rightproof · cited by 6
- Ordinal.epsilon_eq_derivproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- Ordinal.iterate_omega0_opow_lt_epsilon_zeroproof · cited by 2
- Ordinal.epsilon_zero_le_of_omega0_opow_leproof · cited by 1
- Ordinal.lt_epsilon_zeroproof · cited by 1
- Ordinal.epsilon0_eq_nfpproof · cited by 0