Theorems · Theorem · commutative algebra
normalize_associated_iff
∀ {α : Type u_1} [inst : MonoidWithZero α] [inst_1 : NormalizationMonoid α] {x y : α},
Associated (normalize x) y ↔ Associated x y- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidWithZerostatement and proof · cited by 456
- Associatedstatement and proof · cited by 296
- NormalizationMonoidstatement and proof · cited by 165
- normalizestatement and proof · cited by 137
- Associated.transproof · cited by 22
- associated_normalizeproof · cited by 11
- normalize_associatedproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Associates.out_mul'proof · cited by 0