Theorems · Definition · commutative algebra
GCDMonoid.lcm
{α : Type u_2} → {inst : CommMonoidWithZero α} → [self : GCDMonoid α] → α → α → αThe least common multiple between two elements.
- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 78 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- GCDMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidWithZerostatement and proof · cited by 913
- GCDMonoidstatement and proof · cited by 96
Cited by90
Results whose statement or proof uses this declaration.
- Finset.lcmproof · cited by 37
- Multiset.lcmproof · cited by 20
- dvd_lcm_leftstatement and proof · cited by 17
- dvd_lcm_rightstatement and proof · cited by 17
- lcm_dvdstatement · cited by 14
- lcm_dvd_lcmstatement · cited by 8
- normalize_lcmstatement · cited by 8
- Equiv.Perm.lcm_cycleTypeproof · cited by 7
- lcm_dvd_iffstatement · cited by 6
- Multiset.lcm_consstatement and proof · cited by 6
- lcm_samestatement · cited by 5
- Multiset.lcm_singletonproof · cited by 5