Theorems · Definition · number theory
ArithmeticFunction.log
ArithmeticFunction ℝ
log as an arithmetic function ℕ → ℝ. Note this is in the ArithmeticFunction
namespace to indicate that it is bundled as an ArithmeticFunction rather than being the usual
real logarithm.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 171 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.
- Realstatement · cited by 25,697
- Real.logproof · cited by 939
- ArithmeticFunctionstatement · cited by 290
Cited by6
Results whose statement or proof uses this declaration.
- ArithmeticFunction.vonMangoldt_mul_zetastatement and proof · cited by 3
- ArithmeticFunction.log_mul_moebius_eq_vonMangoldtstatement · cited by 1
- ArithmeticFunction.moebius_mul_log_eq_vonMangoldtstatement and proof · cited by 0
- ArithmeticFunction.zeta_mul_vonMangoldtstatement and proof · cited by 0
- ArithmeticFunction.log_applystatement · cited by 0
- ArithmeticFunction.sum_moebius_mul_log_eqstatement and proof · cited by 0