Theorems · Theorem · number theory
BoundingSieve.nu_pos_of_dvd_prodPrimes
∀ {s : BoundingSieve} {d : ℕ}, d ∣ s.prodPrimes → 0 < s.nu d- Defined in
- Mathlib.NumberTheory.SelbergSieve
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Nat.Primeproof · cited by 2,059
- ArithmeticFunctionstatement · cited by 290
- Dvd.dvd.transproof · cited by 148
- Nat.primeFactorsproof · cited by 129
- BoundingSievestatement and proof · cited by 30
- Nat.prime_of_mem_primeFactorsproof · cited by 29
- Finset.prod_posproof · cited by 25
- BoundingSieve.prodPrimesstatement and proof · cited by 18
- BoundingSieve.nustatement · cited by 17
- Nat.dvd_of_mem_primeFactorsproof · cited by 10
Cited by4
Results whose statement or proof uses this declaration.
- BoundingSieve.nu_inv_eq_sum_divisors_inv_selbergTermsproof · cited by 2
- BoundingSieve.mainSum_lambdaSquared_eq_sum_sum_mulproof · cited by 1
- BoundingSieve.selbergTerms_posproof · cited by 1
- BoundingSieve.nu_ne_zeroproof · cited by 0