Theorems · Theorem · commutative algebra
Multiset.gcd_mono
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] {s₁ s₂ : Multiset α},
s₁ ⊆ s₂ → s₂.gcd ∣ s₁.gcd- Defined in
- Mathlib.Algebra.GCDMonoid.Multiset
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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.gcdstatement · cited by 21
- Multiset.dvd_gcdproof · cited by 3
- Multiset.gcd_dvdproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.