Theorems · Definition · commutative algebra
Finset.gcd
{α : Type u_2} → {β : Type u_3} → [inst : CommMonoidWithZero α] → [NormalizedGCDMonoid α] → Finset β → (β → α) → αGreatest common divisor of a finite set
- Defined in
- Mathlib.Algebra.GCDMonoid.Finset
- Cited by
- 49 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- GCDMonoid.gcdproof · cited by 143
- Finset.foldproof · cited by 46
Cited by50
Results whose statement or proof uses this declaration.
- Polynomial.contentproof · cited by 41
- Finset.gcd_insertstatement and proof · cited by 9
- Finset.dvd_gcd_iffstatement · cited by 9
- Finset.gcd_dvdstatement · cited by 7
- Finset.normalize_gcdstatement · cited by 6
- Finset.gcd_eq_zero_iffstatement and proof · cited by 5
- Finset.gcd_mul_left'statement and proof · cited by 5
- Polynomial.content_Cproof · cited by 5
- Polynomial.associated_content_C_mulproof · cited by 4
- Finset.gcd_singletonstatement · cited by 4
- Finset.gcd_congrstatement · cited by 3
- Choose.minFac_dvd_gcd_choose_of_isPrimePowstatement · cited by 2