Theorems · Theorem · number theory
Nat.log_zero_left
∀ (n : ℕ), Nat.log 0 n = 0
- Defined in
- Mathlib.Data.Nat.Log
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses no axioms
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_of_left_le_oneproof · cited by 12
Cited by6
Results whose statement or proof uses this declaration.
- Nat.log_eq_iffproof · cited by 5
- padicValNat_le_nat_logproof · cited by 2
- Int.clog_zero_leftproof · cited by 1
- Nat.sub_one_mul_sum_log_div_pow_eq_sub_sum_digitsproof · cited by 1
- Int.log_zero_leftproof · cited by 1
- Real.natFloor_logb_natCastproof · cited by 0