Theorems · Theorem · commutative algebra
Valuation.IsRankOneDiscrete.generator_mem_range
∀ {Γ : Type u_1} [inst : LinearOrderedCommGroupWithZero Γ] (K : Type u_3) [inst_1 : Field K] (w : Valuation K Γ)
[inst_2 : w.IsRankOneDiscrete], ↑(Valuation.IsRankOneDiscrete.generator w) ∈ Set.range ⇑w- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Fieldstatement and proof · cited by 7,404
- Set.rangestatement · cited by 4,705
- Units.valstatement and proof · cited by 1,966
- Valuationstatement and proof · cited by 823
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- Set.sdiff_subsetproof · cited by 156
- Valuation.IsRankOneDiscretestatement and proof · cited by 53
- Valuation.IsRankOneDiscrete.generatorstatement and proof · cited by 24
- Valuation.IsRankOneDiscrete.generator_zpowers_eq_rangeproof · cited by 1
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