Theorems · Theorem · commutative algebra
Valuation.IsRankOneDiscrete.generator_ne_one
∀ {Γ : Type u_1} [inst : LinearOrderedCommGroupWithZero Γ] {A : Type u_2} [inst_1 : Ring A] (v : Valuation A Γ)
[inst_2 : v.IsRankOneDiscrete], Valuation.IsRankOneDiscrete.generator v ≠ 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 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
- Valuationstatement and proof · cited by 823
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- ne_of_ltproof · cited by 203
- Valuation.IsRankOneDiscretestatement and proof · cited by 53
- Valuation.IsRankOneDiscrete.generatorstatement · cited by 24
- Valuation.IsRankOneDiscrete.generator_lt_oneproof · cited by 4
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