Theorems · Theorem · commutative algebra
Multiset.normalize_lcm
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] (s : Multiset α),
normalize s.lcm = s.lcm- Defined in
- Mathlib.Algebra.GCDMonoid.Multiset
- Cited by
- 2 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
- normalizestatement and proof · cited by 137
- Multiset.induction_onproof · cited by 109
- GCDMonoid.lcmproof · cited by 78
- Multiset.lcmstatement and proof · cited by 20
- normalize_oneproof · cited by 10
- normalize_lcmproof · cited by 8
- Multiset.lcm_consproof · cited by 6
- Multiset.lcm_zeroproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Finset.lcm_insertproof · cited by 5
- Finset.normalize_lcmproof · cited by 1