Theorems · Theorem · logic and foundations
Ordinal.omega0_lt_epsilon
∀ (o : Ordinal.{u_1}), Ordinal.omega0 < o.epsilon- Defined in
- Mathlib.SetTheory.Ordinal.Veblen
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- lt_of_lt_of_leproof · cited by 438
- zero_leproof · cited by 382
- Ordinal.omega0statement and proof · cited by 197
- StrictMono.monotoneproof · cited by 118
- Ordinal.opow_zeroproof · cited by 38
- Function.iterate_oneproof · cited by 34
- Ordinal.epsilonstatement and proof · cited by 18
- Ordinal.opow_oneproof · cited by 14
- Ordinal.iterate_omega0_opow_lt_epsilon_zeroproof · cited by 2
- Ordinal.veblen_right_strictMonoproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.omega0_lt_gammaproof · cited by 1
- Ordinal.natCast_lt_epsilonproof · cited by 0