Theorems · Theorem · commutative algebra
Ring.ord_eq_iff_associated
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : IsDomain R] [IsDiscreteValuationRing R] (x y : R),
Ring.ord R x = Ring.ord R y ↔ Associated x y- Cited by
- 0 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- CommRingstatement and proof · cited by 17,173
- ENatstatement · cited by 4,985
- IsDomainstatement and proof · cited by 2,196
- Associatedstatement and proof · cited by 296
- IsDiscreteValuationRingstatement and proof · cited by 117
- Ring.ordstatement · cited by 28
- Ring.ord_eq_addValproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.