Theorems · Theorem · number theory
Nat.log_mul_base
∀ {b n : ℕ}, 1 < b → n ≠ 0 → Nat.log b (n * b) = Nat.log b n + 1- Defined in
- Mathlib.Data.Nat.Log
- Cited by
- 2 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LT.lt.transproof · cited by 370
- Nat.logstatement and proof · cited by 101
- Nat.pow_log_le_selfproof · cited by 9
- Nat.lt_pow_succ_log_selfproof · cited by 2
- Nat.log_eq_of_pow_le_of_lt_powproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Nat.log_div_mul_selfproof · cited by 1
- Nat.log_two_bitproof · cited by 0