Theorems · Theorem · number theory
BoundingSieve.prod_primeFactors_nu
∀ {s : BoundingSieve} {d : ℕ}, d ∣ s.prodPrimes → ∏ p ∈ d.primeFactors, s.nu p = s.nu d- Defined in
- Mathlib.NumberTheory.SelbergSieve
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 97 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 and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Finset.prodstatement · cited by 2,356
- ArithmeticFunctionstatement · cited by 290
- Nat.primeFactorsstatement and proof · cited by 129
- subset_rflproof · cited by 77
- BoundingSievestatement and proof · cited by 30
- BoundingSieve.prodPrimesstatement and proof · cited by 18
- BoundingSieve.nustatement and proof · cited by 17
- Squarefree.squarefree_of_dvdproof · cited by 15
- Nat.prod_primeFactors_of_squarefreeproof · cited by 7
- BoundingSieve.prodPrimes_squarefreeproof · cited by 6
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