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Theorems · Theorem · commutative algebra

Finset.dvd_gcd

∀ {α : Type u_2} {β : Type u_3} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] {s : Finset β}
  {f : β → α} {a : α}, (∀ b ∈ s, a ∣ f b) → a ∣ s.gcd f
Defined in
Mathlib.Algebra.GCDMonoid.Finset
Cited by
2 results in Mathlib
Foundations
Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoidWithZeroNormalizedGCDMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset.gcd_mono · cited by 1Finset.gcd_monoFinset.gcd_mono_fun · cited by 0Finset.gcd_mono_funFinset · cited by 13712FinsetCommMonoidWithZero · cited by 913CommMonoidWithZeroNormalizedGCDMonoid · cited by 159NormalizedGCDMonoidFinset.gcd · cited by 49Finset.gcdFinset.dvd_gcd_iff · cited by 9Finset.dvd_gcd_iffFinset.dvd_gcdCITED BYCITES

Cites5

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Cited by2

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