Theorems · Theorem · commutative algebra
Ideal.gcd_eq_sup
∀ {A : Type u_2} [inst : CommRing A] [inst_1 : IsDedekindDomain A] (I J : Ideal A), gcd I J = I ⊔ J- Cited by
- 1 results in Mathlib
- Foundations
- Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingIsDedekindDomain
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Idealstatement and proof · cited by 4,748
- IsDedekindDomainstatement and proof · cited by 668
- GCDMonoid.gcdstatement · cited by 143
Cited by1
Results whose statement or proof uses this declaration.
- Ideal.isCoprime_iff_gcdproof · cited by 2