Theorems · Theorem · commutative algebra
Multiset.lcm_mono
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] {s₁ s₂ : Multiset α},
s₁ ⊆ s₂ → s₁.lcm ∣ s₂.lcm- Defined in
- Mathlib.Algebra.GCDMonoid.Multiset
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 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
- CommMonoidWithZerostatement and proof · cited by 913
- NormalizedGCDMonoidstatement and proof · cited by 159
- Multiset.lcmstatement · cited by 20
- Multiset.lcm_dvdproof · cited by 6
- Multiset.dvd_lcmproof · cited by 2
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