Theorems · Theorem · commutative algebra
Finset.gcd_singleton
∀ {α : Type u_2} {β : Type u_3} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] {f : β → α} {b : β},
{b}.gcd f = normalize (f b)- Defined in
- Mathlib.Algebra.GCDMonoid.Finset
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 25 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 · cited by 13,712
- CommMonoidWithZerostatement and proof · cited by 913
- NormalizedGCDMonoidstatement and proof · cited by 159
- normalizestatement · cited by 137
- Finset.gcdstatement · cited by 49
- Multiset.gcd_singletonproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.content_Cproof · cited by 5
- Rat.mulHeight₁_eq_maxproof · cited by 2
- Finset.extract_gcdproof · cited by 1
- isCoprime_of_gcd_eq_one_of_FLTproof · cited by 0