Theorems · Theorem · logic and foundations
Ordinal.le_log_of_opow_le
∀ {b x c : Ordinal.{u_1}}, 1 < b → b ^ c ≤ x → c ≤ Ordinal.log b x- Defined in
- Mathlib.SetTheory.Ordinal.Exponential
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- eq_or_neproof · cited by 1,117
- zero_lt_oneproof · cited by 598
- nonpos_iff_eq_zeroproof · cited by 100
- Ordinal.logstatement · cited by 45
- LT.lt.asymmproof · cited by 10
- Ordinal.opow_le_iff_le_logproof · cited by 8
- Ordinal.opow_eq_zeroproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.lt_opow_of_log_ltproof · cited by 0