Theorems · Definition · commutative algebra
Valuation.RankOne.rankLeOneStruct
{R : Type u_3} →
[inst : Ring R] → [inst_1 : ValuativeRel R] → (ValuativeRel.valuation R).RankOne → ValuativeRel.RankLeOneStruct RConvert between the rank one statement on valuative relation's induced valuation.
- Defined in
- Mathlib.RingTheory.Valuation.RankOne
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingValuativeRel
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- ValuativeRelstatement and proof · cited by 241
- ValuativeRel.ValueGroupWithZerostatement · cited by 86
- ValuativeRel.valuationstatement and proof · cited by 42
- MonoidWithZeroHom.compproof · cited by 34
- Valuation.RankOnestatement and proof · cited by 32
- Valuation.RankOne.homproof · cited by 15
- ValuativeRel.RankLeOneStructstatement · cited by 7
- ValuativeRel.ValueGroupWithZero.embedproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- ValuativeRel.isRankLeOne_of_rankOneproof · cited by 1