Theorems · Theorem · commutative algebra
Valuation.RankOne.unit_ne_one
∀ {R : Type u_1} {Γ₀ : Type u_2} [inst : Ring R] [inst_1 : LinearOrderedCommGroupWithZero Γ₀] (v : Valuation R Γ₀)
[hv : v.RankOne], Valuation.RankOne.unit v ≠ 1A proof that RankOne.unit v ≠ 1.
- Defined in
- Mathlib.RingTheory.Valuation.RankOne
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Unitsstatement · cited by 2,804
- Units.valproof · cited by 1,966
- Valuationstatement and proof · cited by 823
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- Units.val_oneproof · cited by 39
- Valuation.RankOnestatement and proof · cited by 32
- Units.val_injproof · cited by 20
- Valuation.RankOne.nontrivialproof · cited by 1
- Valuation.RankOne.unitstatement and proof · cited by 1
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