Theorems · Definition · commutative algebra
UniqueFactorizationMonoid.toStrongNormalizedGCDMonoid
(α : Type u_2) →
[inst : CommMonoidWithZero α] →
[UniqueFactorizationMonoid α] → [StrongNormalizationMonoid α] → StrongNormalizedGCDMonoid αtoStrongNormalizedGCDMonoid constructs a GCD monoid out of a strong normalization on a
unique factorization domain.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- NormalizedGCDMonoidproof · cited by 159
- StrongNormalizedGCDMonoidstatement · cited by 13
- StrongNormalizationMonoidstatement and proof · cited by 10
- NormalizedGCDMonoid.normalize_gcdproof · cited by 2
- UniqueFactorizationMonoid.toNormalizedGCDMonoidproof · cited by 1
- NormalizedGCDMonoid.normalize_lcmproof · cited by 1
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