Module

IsCurveOver_trdeg_eq_one.lean

Nyll.AlgebraicCurves.FunctionFields.IsCurveOver_trdeg_eq_one
1 declaration indexed from sourceView source ↗

Is Curve Over trdeg eq one

Declarations

AlgebraicCurve.IsCurveOver.trdeg_eq_one
Source context 4 commands

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

section ProofImplementation
namespace AlgebraicCurves.FunctionFields.Proofs.IsCurveOver_trdeg_eq_one
open AlgebraicCurve IntermediateField
open scoped IntermediateField.algebraAdjoinAdjoin in
theorem _root_.AlgebraicCurve.IsCurveOver.trdeg_eq_one
    (K F : Type*) [Field K] [Field F] [Algebra K F] [PerfectField K]
    [Algebra.EssFiniteType K F] [IsCurveOver K F] :
    Algebra.trdeg K F = 1