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Theorems · Theorem · commutative algebra

ValuativeRel.uniformizer_ne_zero

∀ {R : Type u_1} [inst : Semiring R] [inst_1 : ValuativeRel R] [inst_2 : ValuativeRel.IsDiscrete R]
  [ValuativeRel.IsNontrivial R], ValuativeRel.uniformizer R ≠ 0
Defined in
Mathlib.RingTheory.Valuation.ValuativeRel.Basic
Cited by
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Foundations
Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringValuativeRelValuativeRel.IsDiscreteValuativeRel.IsNontrivial
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Semiring · cited by 13802SemiringLT.lt.ne' · cited by 1417lt.ne'ValuativeRel · cited by 241ValuativeRelValuativeRel.ValueGroupWithZero · cited by 86ValuativeRel.ValueGroupWi…ValuativeRel.IsNontrivial · cited by 12ValuativeRel.IsNontrivialValuativeRel.IsDiscrete · cited by 10ValuativeRel.IsDiscreteValuativeRel.uniformizer · cited by 6ValuativeRel.uniformizerValuativeRel.uniformizer_pos · cited by 2ValuativeRel.uniformizer_…ValuativeRel.uniformizer_ne_z…CITED BYCITES

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