Theorems · Theorem · number theory
ArithmeticFunction.vonMangoldt_pos_iff
∀ {n : ℕ}, 0 < ArithmeticFunction.vonMangoldt n ↔ IsPrimePow n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- ArithmeticFunctionstatement · cited by 290
- IsPrimePowstatement · cited by 77
- ArithmeticFunction.vonMangoldtstatement · cited by 40
- LE.le.lt_iff_neproof · cited by 34
- ArithmeticFunction.vonMangoldt_nonnegproof · cited by 6
- ArithmeticFunction.vonMangoldt_ne_zero_iffproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Chebyshev.psi_eq_zero_iffproof · cited by 0