Theorems · Theorem · number theory
Nat.log_of_left_le_one
∀ {b : ℕ}, b ≤ 1 → ∀ (n : ℕ), Nat.log b n = 0- Defined in
- Mathlib.Data.Nat.Log
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.logstatement · cited by 101
Cited by12
Results whose statement or proof uses this declaration.
- Nat.log_one_leftproof · cited by 7
- Nat.log_zero_leftproof · cited by 6
- Nat.pow_le_of_le_logproof · cited by 4
- Nat.log_eq_zero_iffproof · cited by 4
- Nat.log_div_baseproof · cited by 3
- Nat.log_lt_selfproof · cited by 2
- Nat.log_monotoneproof · cited by 2
- Int.log_of_left_le_oneproof · cited by 1
- Nat.log_div_mul_selfproof · cited by 1
- Nat.log_le_clogproof · cited by 0
- Ordinal.natCast_logproof · cited by 0
- Nat.log_pow_leftproof · cited by 0