Theorems · Theorem · group theory
List.dvd_prod
∀ {M : Type u_4} [inst : CommMonoid M] {a : M} {l : List M}, a ∈ l → a ∣ l.prod- Cited by
- 3 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidstatement and proof · cited by 2,264
- mul_left_commproof · cited by 184
- dvd_mul_rightproof · cited by 89
Cited by3
Results whose statement or proof uses this declaration.
- Multiset.dvd_prodproof · cited by 7
- Nat.mem_primeFactorsList_iff_dvdproof · cited by 4
- Prime.dvd_prod_iffproof · cited by 2