Theorems · Theorem · logic and foundations
Ordinal.log_mono_right
∀ (b : Ordinal.{u_1}) {x y : Ordinal.{u_1}}, x ≤ y → Ordinal.log b x ≤ Ordinal.log b y- Defined in
- Mathlib.SetTheory.Ordinal.Exponential
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LE.le.transproof · cited by 3,151
- le_reflproof · cited by 2,061
- Ordinalstatement and proof · cited by 1,688
- LT.lt.ne'proof · cited by 1,417
- eq_or_neproof · cited by 1,117
- LT.lt.trans_leproof · cited by 678
- lt_or_geproof · cited by 182
- Ne.bot_ltproof · cited by 116
- Ordinal.logstatement and proof · cited by 45
- Ordinal.log_of_left_le_oneproof · cited by 13
- Ordinal.opow_log_le_selfproof · cited by 11
- Ordinal.log_zero_rightproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.CNF.fst_le_logproof · cited by 2