Theorems · Inductive type · commutative algebra
ValuativeRel.RankLeOneStruct
(R : Type u_1) → [inst : Semiring R] → [ValuativeRel R] → Type u_1
An auxiliary structure used to define IsRankLeOne.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- SemiringValuativeRel
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement · cited by 13,802
- ValuativeRelstatement · cited by 241
Cited by18
Results whose statement or proof uses this declaration.
- ValuativeRel.RankLeOneStruct.casesOnstatement and proof · cited by 2
- ValuativeRel.IsRankLeOne.casesOnstatement and proof · cited by 1
- ValuativeRel.isRankLeOne_iff_mulArchimedeanproof · cited by 1
- ValuativeRel.IsRankLeOne.nonemptystatement · cited by 1
- ValuativeRel.RankLeOneStruct.embstatement and proof · cited by 1
- ValuativeRel.RankLeOneStruct.mk.injstatement · cited by 1
- ValuativeRel.RankLeOneStruct.mk.noConfusionstatement · cited by 1
- Valuation.RankOne.rankLeOneStructstatement · cited by 1
- ValuativeRel.IsRankLeOne.of_valuativeExtensionproof · cited by 0
- ValuativeRel.IsRankLeOne.recOnstatement and proof · cited by 0
- ValuativeRel.RankLeOneStruct.ctorIdxstatement and proof · cited by 0
- ValuativeRel.RankLeOneStruct.noConfusionstatement and proof · cited by 0