Theorems · Definition · commutative algebra
Multiset.gcd
{α : Type u_1} → [inst : CommMonoidWithZero α] → [NormalizedGCDMonoid α] → Multiset α → αGreatest common divisor of a multiset
- Defined in
- Mathlib.Algebra.GCDMonoid.Multiset
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement and proof · cited by 2,627
- CommMonoidWithZerostatement and proof · cited by 913
- NormalizedGCDMonoidstatement and proof · cited by 159
- GCDMonoid.gcdproof · cited by 143
- Multiset.foldproof · cited by 38
Cited by21
Results whose statement or proof uses this declaration.
- Multiset.gcd_consstatement · cited by 7
- Multiset.gcd_zerostatement · cited by 6
- Finset.normalize_gcdproof · cited by 6
- Multiset.gcd_dedupstatement and proof · cited by 4
- Multiset.gcd_dvdstatement · cited by 3
- Multiset.dvd_gcdstatement and proof · cited by 3
- Multiset.normalize_gcdstatement and proof · cited by 3
- Multiset.gcd_addstatement · cited by 2
- Multiset.gcd_eq_zero_iffstatement and proof · cited by 2
- Multiset.gcd_singletonstatement · cited by 2
- Polynomial.content_X_mulproof · cited by 2
- Multiset.associated_gcd_map_mulstatement and proof · cited by 1