Theorems · Theorem · logic and foundations
Ordinal.log_pos
∀ {b o : Ordinal.{u_1}}, 1 < b → o ≠ 0 → b ≤ o → 0 < Ordinal.log b o- Defined in
- Mathlib.SetTheory.Ordinal.Exponential
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 88 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.
- zero_addproof · cited by 2,366
- Ordinalstatement and proof · cited by 1,688
- Ordinal.logstatement and proof · cited by 45
- Ordinal.opow_oneproof · cited by 14
- Order.add_one_le_iffproof · cited by 8
- Ordinal.opow_le_iff_le_logproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.log_mod_opow_log_lt_log_selfproof · cited by 1