Theorems · Theorem · commutative algebra
Multiset.gcd_zero
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α], Multiset.gcd 0 = 0- Defined in
- Mathlib.Algebra.GCDMonoid.Multiset
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement · cited by 2,627
- CommMonoidWithZerostatement and proof · cited by 913
- NormalizedGCDMonoidstatement and proof · cited by 159
- GCDMonoid.gcdproof · cited by 143
- Multiset.gcdstatement · cited by 21
- Multiset.fold_zeroproof · cited by 6
Cited by6
Results whose statement or proof uses this declaration.
- Multiset.gcd_dedupproof · cited by 4
- Multiset.dvd_gcdproof · cited by 3
- Multiset.normalize_gcdproof · cited by 3
- Multiset.gcd_eq_zero_iffproof · cited by 2
- Multiset.associated_gcd_map_mulproof · cited by 1
- Multiset.gcd_map_mulproof · cited by 0