Theorems · Theorem · commutative algebra
Multiset.normalize_gcd
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] (s : Multiset α),
normalize s.gcd = s.gcd- Defined in
- Mathlib.Algebra.GCDMonoid.Multiset
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- normalizestatement and proof · cited by 137
- Multiset.induction_onproof · cited by 109
- Multiset.gcdstatement and proof · cited by 21
- normalize_zeroproof · cited by 16
- normalize_gcdproof · cited by 13
- Multiset.gcd_consproof · cited by 7
- Multiset.gcd_zeroproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- Finset.gcd_insertproof · cited by 9
- Finset.normalize_gcdproof · cited by 6
- Multiset.extract_gcd'proof · cited by 1