Theorems · Theorem · number theory
ArithmeticFunction.vonMangoldt_ne_zero_iff
∀ {n : ℕ}, ArithmeticFunction.vonMangoldt n ≠ 0 ↔ IsPrimePow n- Cited by
- 3 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- LT.lt.ne'proof · cited by 1,417
- eq_or_neproof · cited by 1,117
- ArithmeticFunctionstatement · cited by 290
- Nat.Prime.one_ltproof · cited by 118
- IsPrimePowstatement · cited by 77
- Real.log_posproof · cited by 51
- ArithmeticFunction.vonMangoldtstatement · cited by 40
- Nat.minFac_primeproof · cited by 31
- Nat.one_lt_castproof · cited by 21
- ArithmeticFunction.vonMangoldt_apply_oneproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- ArithmeticFunction.vonMangoldt_pos_iffproof · cited by 1
- ArithmeticFunction.vonMangoldt_eq_zero_iffproof · cited by 1
- ArithmeticFunction.vonMangoldt.support_residueClass_prime_divproof · cited by 1