Theorems · Theorem · logic and foundations
Ordinal.sub_omega0_opow_log_lt
∀ {a : Ordinal.{u_1}}, a ≠ 0 → a - Ordinal.omega0 ^ Ordinal.log Ordinal.omega0 a < a- Defined in
- Mathlib.SetTheory.Ordinal.Exponential
- Cited by
- 1 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.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.cast_oneproof · cited by 2,501
- zero_addproof · cited by 2,366
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.cast_zeroproof · cited by 1,870
- Ordinalstatement and proof · cited by 1,688
- add_commproof · cited by 1,535
- add_assocproof · cited by 746
- LT.lt.trans_leproof · cited by 678
- Nat.cast_addproof · cited by 586
- Ordinal.omega0statement and proof · cited by 197
- lt_add_oneproof · cited by 105
- LT.lt.trans_eqproof · cited by 65
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.isLeast_sub_lt_omega0_opow_logproof · cited by 0