Theorems · Theorem · number theory
Nat.log_zero_right
∀ (b : ℕ), Nat.log b 0 = 0
- Defined in
- Mathlib.Data.Nat.Log
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- le_totalproof · cited by 294
- Nat.logstatement · cited by 101
- Nat.log_eq_zero_iffproof · cited by 4
Cited by18
Results whose statement or proof uses this declaration.
- Nat.log_eq_iffproof · cited by 5
- Int.log_natCastproof · cited by 3
- Nat.log_div_baseproof · cited by 3
- Chebyshev.psi_le_primeCounting_mul_logproof · cited by 3
- padicValNat_le_nat_logproof · cited by 2
- Nat.pow_log_le_add_oneproof · cited by 2
- padicValRat_two_harmonicproof · cited by 2
- Int.clog_natCastproof · cited by 2
- Nat.log_anti_leftproof · cited by 2
- Nat.log_div_mul_selfproof · cited by 1
- Nat.sub_one_mul_sum_log_div_pow_eq_sub_sum_digitsproof · cited by 1
- Nat.factorization_choose_le_oneproof · cited by 1