Theorems · Theorem · commutative algebra
Multiset.gcd_dedup
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] [inst_2 : DecidableEq α]
(s : Multiset α), s.dedup.gcd = s.gcd- Defined in
- Mathlib.Algebra.GCDMonoid.Multiset
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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.induction_onproof · cited by 109
- Multiset.eraseproof · cited by 93
- Multiset.dedupstatement and proof · cited by 59
- Multiset.foldproof · cited by 38
- Multiset.cons_eraseproof · cited by 25
- Multiset.gcdstatement and proof · cited by 21
- Multiset.fold_cons_leftproof · cited by 14
- associated_normalizeproof · cited by 11
Cited by4
Results whose statement or proof uses this declaration.
- Multiset.extract_gcdproof · cited by 0
- Multiset.gcd_ndinsertproof · cited by 0
- Multiset.gcd_ndunionproof · cited by 0
- Multiset.gcd_unionproof · cited by 0