Theorems · Theorem · number theory
Nat.log_eq_zero_iff
∀ {b n : ℕ}, Nat.log b n = 0 ↔ n < b ∨ b ≤ 1- Defined in
- Mathlib.Data.Nat.Log
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 68 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.
- eq_or_neproof · cited by 1,117
- Nat.logstatement · cited by 101
- Nat.log_of_left_le_oneproof · cited by 12
- Nat.log_lt_iff_lt_powproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- Nat.log_zero_rightproof · cited by 18
- Nat.log_one_rightproof · cited by 5
- Int.clog_of_right_le_zeroproof · cited by 3
- Nat.log_pos_iffproof · cited by 1