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Theorems · Theorem · commutative algebra

Multiset.dvd_lcm

∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] {s : Multiset α} {a : α},
  a ∈ s → a ∣ s.lcm
Defined in
Mathlib.Algebra.GCDMonoid.Multiset
Cited by
2 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoidWithZeroNormalizedGCDMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Equiv.Perm.dvd_of_mem_cycleType · cited by 4Perm.dvd_of_mem_cycleTypeMultiset.lcm_mono · cited by 0Multiset.lcm_monoMultiset · cited by 2627MultisetCommMonoidWithZero · cited by 913CommMonoidWithZeroNormalizedGCDMonoid · cited by 159NormalizedGCDMonoiddvd_rfl · cited by 80dvd_rflMultiset.lcm · cited by 20Multiset.lcmMultiset.lcm_dvd · cited by 6Multiset.lcm_dvdMultiset.dvd_lcmCITED BYCITES

Cites6

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Cited by2

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