Theorems · Theorem · commutative algebra
Finset.gcd_mul_left
∀ {β : Type u_3} {α : Type u_5} [inst : CommMonoidWithZero α] [inst_1 : StrongNormalizedGCDMonoid α] {s : Finset β}
{f : β → α} {a : α}, (s.gcd fun x => a * f x) = normalize a * s.gcd f- Defined in
- Mathlib.Algebra.GCDMonoid.Finset
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- MulZeroClass.mul_zeroproof · cited by 2,091
- CommMonoidWithZerostatement and proof · cited by 913
- Finset.induction_onproof · cited by 167
- GCDMonoid.gcdproof · cited by 143
- normalizestatement and proof · cited by 137
- Finset.gcdstatement and proof · cited by 49
- StrongNormalizedGCDMonoidstatement and proof · cited by 13
- Finset.gcd_insertproof · cited by 9
- normalize_associatedproof · cited by 7
- Associated.mul_rightproof · cited by 6
- gcd_mul_leftproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.content_C_mulproof · cited by 0
- Finset.gcd_mul_rightproof · cited by 0