Theorems · Definition · commutative algebra
Finset.lcm
{α : Type u_2} → {β : Type u_3} → [inst : CommMonoidWithZero α] → [NormalizedGCDMonoid α] → Finset β → (β → α) → αLeast common multiple of a finite set
- Defined in
- Mathlib.Algebra.GCDMonoid.Finset
- Cited by
- 37 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.
- Finsetstatement and proof · cited by 13,712
- CommMonoidWithZerostatement and proof · cited by 913
- NormalizedGCDMonoidstatement and proof · cited by 159
- GCDMonoid.lcmproof · cited by 78
- Finset.foldproof · cited by 46
Cited by39
Results whose statement or proof uses this declaration.
- Matrix.denproof · cited by 16
- Nat.lcmUptoproof · cited by 13
- Finset.dvd_lcmstatement · cited by 10
- Finset.lcm_dvdstatement · cited by 7
- Finset.lcm_insertstatement and proof · cited by 5
- ArithmeticFunction.carmichael_finsetProdstatement · cited by 2
- Finset.lcm_dvd_iffstatement · cited by 2
- Finset.lcm_dvd_prodstatement · cited by 2
- Finset.lcm_eq_zero_iffstatement · cited by 2
- Monoid.ExponentExists.of_finiteproof · cited by 2
- Function.minimalPeriod_piMap_fintypestatement · cited by 2
- AddMonoid.ExponentExists.of_finiteproof · cited by 2