Theorems · Theorem · number theory
Nat.log_monotone
∀ {b : ℕ}, Monotone (Nat.log b)- Defined in
- Mathlib.Data.Nat.Log
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monotonestatement · cited by 1,397
- le_or_gtproof · cited by 269
- Nat.logstatement and proof · cited by 101
- monotone_nat_of_le_succproof · cited by 45
- Nat.log_of_left_le_oneproof · cited by 12
- Nat.le_log_of_pow_leproof · cited by 8
- Nat.pow_log_le_add_oneproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Nat.log_mono_rightproof · cited by 6
- Nat.log_eq_log_succ_iffproof · cited by 0