Theorems · Definition · commutative algebra
ValuativeRel.uniformizer
(R : Type u_1) → [inst : Semiring R] → [inst_1 : ValuativeRel R] → [ValuativeRel.IsDiscrete R] → ValuativeRel.ValueGroupWithZero R
The maximal element that is < 1 in the value group of a discrete valuation.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- ValuativeRelstatement and proof · cited by 241
- ValuativeRel.ValueGroupWithZerostatement · cited by 86
- ValuativeRel.IsDiscretestatement and proof · cited by 10
- ValuativeRel.IsDiscrete.has_maximal_elementproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- ValuativeRel.uniformizer_posstatement · cited by 2
- ValuativeRel.le_uniformizer_iffstatement and proof · cited by 2
- ValuativeRel.uniformizer_lt_onestatement · cited by 1
- ValuativeRel.uniformizer_ne_zerostatement · cited by 0
- ValuativeRel.uniformizer.congr_simpstatement and proof · cited by 0
- ValuativeRel.uniformizer_inv_le_iffstatement and proof · cited by 0