Theorems · Theorem · commutative algebra
ValuativeRel.isNontrivial_of_rankOne
∀ {R : Type u_3} [inst : Ring R] [inst_1 : ValuativeRel R] [h : (ValuativeRel.valuation R).RankOne],
ValuativeRel.IsNontrivial R- Defined in
- Mathlib.RingTheory.Valuation.RankOne
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
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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.IsNontrivialstatement · cited by 12
- ValuativeRel.isNontrivial_iff_isNontrivialproof · cited by 1
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