Theorems · Definition · commutative algebra
UniqueFactorizationMonoid.toNormalizedGCDMonoid
(α : Type u_2) → [inst : CommMonoidWithZero α] → [UniqueFactorizationMonoid α] → [NormalizationMonoid α] → NormalizedGCDMonoid α
toNormalizedGCDMonoid constructs a GCD monoid out of a normalization on a
unique factorization domain.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- CommMonoidWithZerostatement and proof · cited by 913
- UniqueFactorizationMonoidstatement and proof · cited by 279
- NormalizationMonoidstatement and proof · cited by 165
- NormalizedGCDMonoidstatement · cited by 159
Cited by2
Results whose statement or proof uses this declaration.
- Ideal.sup_mul_infproof · cited by 1
- UniqueFactorizationMonoid.toStrongNormalizedGCDMonoidproof · cited by 0