Theorems · Theorem · commutative algebra
Finset.normalize_gcd
∀ {α : Type u_2} {β : Type u_3} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] {s : Finset β}
{f : β → α}, normalize (s.gcd f) = s.gcd f- Defined in
- Mathlib.Algebra.GCDMonoid.Finset
- Cited by
- 6 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.
Cites9
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
- Multiset.mapproof · cited by 876
- Finset.valproof · cited by 438
- NormalizedGCDMonoidstatement and proof · cited by 159
- normalizestatement · cited by 137
- Finset.gcdstatement · cited by 49
- Multiset.gcdproof · cited by 21
- Multiset.normalize_gcdproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- Polynomial.normalize_contentproof · cited by 8
- Polynomial.content_eq_gcd_range_of_ltproof · cited by 2
- Finset.gcd_unionproof · cited by 1
- Finset.extract_gcd'proof · cited by 1
- Finset.gcd_eq_gcd_filter_ne_zeroproof · cited by 0
- fermatLastTheoremWith_of_fermatLastTheoremWith_coprimeproof · cited by 0