Theorems · Theorem · commutative algebra
ValuativeRel.isRankLeOne_of_rankOne
∀ {R : Type u_3} [inst : Ring R] [inst_1 : ValuativeRel R] [h : (ValuativeRel.valuation R).RankOne],
ValuativeRel.IsRankLeOne R- Defined in
- Mathlib.RingTheory.Valuation.RankOne
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 115 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.
- 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
- Valuation.RankOnestatement and proof · cited by 32
- ValuativeRel.IsRankLeOnestatement · cited by 6
- Valuation.RankOne.rankLeOneStructproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ValuativeRel.isRankLeOne_iff_mulArchimedeanproof · cited by 1