Theorems · Definition · commutative algebra
Multiset.lcm
{α : Type u_1} → [inst : CommMonoidWithZero α] → [NormalizedGCDMonoid α] → Multiset α → αLeast common multiple of a multiset
- Defined in
- Mathlib.Algebra.GCDMonoid.Multiset
- Cited by
- 20 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.lcmproof · cited by 78
- Multiset.foldproof · cited by 38
Cited by20
Results whose statement or proof uses this declaration.
- Equiv.Perm.lcm_cycleTypestatement and proof · cited by 7
- Multiset.lcm_consstatement · cited by 6
- Multiset.lcm_dvdstatement and proof · cited by 6
- Multiset.lcm_singletonstatement · cited by 5
- Multiset.lcm_zerostatement · cited by 5
- Equiv.Perm.IsThreeCycle.orderOfproof · cited by 4
- Multiset.lcm_addstatement · cited by 3
- Multiset.lcm_dedupstatement and proof · cited by 3
- Multiset.dvd_lcmstatement · cited by 2
- Multiset.normalize_lcmstatement and proof · cited by 2
- alternatingGroup.exponent_kleinFour_of_card_eq_fourproof · cited by 1
- Finset.normalize_lcmproof · cited by 1