Theorems · Theorem · commutative algebra
Multiset.lcm_union
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] [inst_2 : DecidableEq α]
(s₁ s₂ : Multiset α), (s₁ ∪ s₂).lcm = lcm s₁.lcm s₂.lcm- Defined in
- Mathlib.Algebra.GCDMonoid.Multiset
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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.lcmstatement and proof · cited by 78
- Multiset.lcmstatement and proof · cited by 20
- Multiset.dedup_extproof · cited by 12
- Multiset.lcm_addproof · cited by 3
- Multiset.lcm_dedupproof · cited by 3
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