Theorems · Theorem · commutative algebra
Multiset.lcm_ne_zero_iff
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] [Nontrivial α] (s : Multiset α),
s.lcm ≠ 0 ↔ 0 ∉ s- Defined in
- Mathlib.Algebra.GCDMonoid.Multiset
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
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
- Nontrivialstatement and proof · cited by 2,416
- CommMonoidWithZerostatement and proof · cited by 913
- NormalizedGCDMonoidstatement and proof · cited by 159
- Multiset.lcmstatement · cited by 20
- Multiset.lcm_eq_zero_iffproof · cited by 1
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