Module

Place_adicValuation_isRankOneDiscrete.lean

Nyll.AlgebraicCurves.Places.Place_adicValuation_isRankOneDiscrete
2 declarations indexed from sourceView source ↗

Place adicValuation isRankOneDiscrete

The adic valuation attached to a place is discrete of rank one.

Declarations

AlgebraicCurves.Places.Proofs.Place_adicValuation_isRankOneDiscrete.AlgebraicCurve.Place.rowMain
Source context 11 commands

Surrounding namespaces, section variables, and local commands at this declaration.

section ProofImplementation
namespace AlgebraicCurves.Places.Proofs.Place_adicValuation_isRankOneDiscrete
open IsDedekindDomain WithZero IsLocalRing
noncomputable section
namespace AlgebraicCurve
open _root_.AlgebraicCurve
open _root_.AlgebraicCurve
namespace Place
open _root_.AlgebraicCurve.Place
open _root_.AlgebraicCurve.Place
variable {K F : Type*} [Field K] [Field F] [Algebra K F] (v : Place K F)
theorem rowMain : v.adicValuation.IsRankOneDiscrete
AlgebraicCurve.Place.adicValuation_isRankOneDiscrete
Source context 4 commands

Surrounding namespaces, section variables, and local commands at this declaration.

section ProofImplementation
namespace AlgebraicCurves.Places.Proofs.Place_adicValuation_isRankOneDiscrete
open IsDedekindDomain WithZero IsLocalRing
open _root_.AlgebraicCurve
  _root_.AlgebraicCurves.Places.Proofs.Place_adicValuation_isRankOneDiscrete.AlgebraicCurve in
theorem _root_.AlgebraicCurve.Place.adicValuation_isRankOneDiscrete {K F : Type*} [Field K]
  [Field F] [Algebra K F] (v : Place K F) :
    v.adicValuation.IsRankOneDiscrete