theorem
L28 ↗trdeg_eq_one
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 inLean source · statement
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