Theorems · Theorem · number theory
Nat.log_div_base
∀ (b n : ℕ), Nat.log b (n / b) = Nat.log b n - 1
- Defined in
- Mathlib.Data.Nat.Log
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 70 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.
- le_or_gtproof · cited by 269
- lt_or_geproof · cited by 182
- Nat.logstatement and proof · cited by 101
- Nat.log_zero_rightproof · cited by 18
- Nat.log_of_left_le_oneproof · cited by 12
- Nat.log_of_ltproof · cited by 4
- Nat.log_of_one_lt_of_leproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Nat.length_digitsproof · cited by 5
- Nat.log_div_mul_selfproof · cited by 1
- Nat.log_div_base_powproof · cited by 0