Theorems · Theorem · number theory
Nat.log_mono_right
∀ {b n m : ℕ}, n ≤ m → Nat.log b n ≤ Nat.log b m- Defined in
- Mathlib.Data.Nat.Log
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.logstatement · cited by 101
- Nat.log_monotoneproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- Nat.length_digits_le_length_digits_succproof · cited by 2
- Nat.Prime.emultiplicity_choose'proof · cited by 2
- Nat.Prime.emultiplicity_choose_prime_pow_add_emultiplicityproof · cited by 2
- Int.log_mono_rightproof · cited by 1
- Nat.log_monoproof · cited by 1
- Nat.factorization_choose'proof · cited by 1