Theorems · Theorem · commutative algebra
IsDiscreteValuationRing.addVal_add
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : IsDomain R] [inst_2 : IsDiscreteValuationRing R] {a b : R},
min ((IsDiscreteValuationRing.addVal R) a) ((IsDiscreteValuationRing.addVal R) b) ≤
(IsDiscreteValuationRing.addVal R) (a + b)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- ENatstatement · cited by 4,985
- IsDomainstatement and proof · cited by 2,196
- IsDiscreteValuationRingstatement and proof · cited by 117
- AddValuationstatement · cited by 96
- IsDiscreteValuationRing.addValstatement and proof · cited by 22
- AddValuation.map_addproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Ring.ord_addproof · cited by 0