Theorems · Theorem · commutative algebra
Finset.gcd_mono
∀ {α : Type u_2} {β : Type u_3} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] {s₁ s₂ : Finset β}
{f : β → α}, s₁ ⊆ s₂ → s₂.gcd f ∣ s₁.gcd f- Defined in
- Mathlib.Algebra.GCDMonoid.Finset
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 56 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.
- Finsetstatement and proof · cited by 13,712
- CommMonoidWithZerostatement and proof · cited by 913
- NormalizedGCDMonoidstatement and proof · cited by 159
- Finset.gcdstatement · cited by 49
- Finset.gcd_dvdproof · cited by 7
- Finset.dvd_gcdproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.content_eq_gcd_range_of_ltproof · cited by 2