Theorems · Theorem · number theory
Nat.log_mono
∀ {b c m n : ℕ}, 1 < c → c ≤ b → m ≤ n → Nat.log b m ≤ Nat.log c n- Defined in
- Mathlib.Data.Nat.Log
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Nat.logstatement · cited by 101
- Nat.log_mono_rightproof · cited by 6
- Nat.log_anti_leftproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- isPrimePow_nat_iff_bounded_logproof · cited by 1