Module

Place_evalAt_algebraMap.lean

Nyll.AlgebraicCurves.Places.Place_evalAt_algebraMap
1 declaration indexed from sourceView source ↗

Place evalAt algebraMap

Residue evaluation at a place returns the original constant from the base field.

Declarations

AlgebraicCurve.Place.evalAt_algebraMap
Source context 3 commands

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

section ProofImplementation
namespace AlgebraicCurves.Places.Proofs.Place_evalAt_algebraMap
open IsLocalRing AlgebraicCurve
theorem _root_.AlgebraicCurve.Place.evalAt_algebraMap {K F : Type*} [Field K] [Field F]
  [Algebra K F] (v : Place K F) (a : K) : v.evalAt (algebraMap K F a) = a