Theorems · Theorem · number theory
BoundingSieve.nu_pos_of_prime
∀ (self : BoundingSieve) (p : ℕ), Nat.Prime p → p ∣ self.prodPrimes → 0 < self.nu p
- Defined in
- Mathlib.NumberTheory.SelbergSieve
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.Primestatement · cited by 2,059
- ArithmeticFunctionstatement · cited by 290
- BoundingSievestatement and proof · cited by 30
- BoundingSieve.prodPrimesstatement · cited by 18
- BoundingSieve.nustatement · cited by 17
Cited by2
Results whose statement or proof uses this declaration.
- BoundingSieve.nu_pos_of_dvd_prodPrimesproof · cited by 4
- BoundingSieve.nu_lt_one_of_dvd_prodPrimesproof · cited by 0