AlgebraicCurves.Divisors.Semilinear.Proofs.SemilinearAut_ramificationIndex_smul.solution
Source context 5 commands
Surrounding namespaces, section variables, and local commands at this declaration.
section ProofImplementation
namespace AlgebraicCurves.Divisors.Semilinear.Proofs.SemilinearAut_ramificationIndex_smul
open AlgebraicCurve AlgebraicCurve.SemilinearAut
open scoped Pointwise
noncomputable sectionLean source · statement
theorem solution {K F F' : Type*} [Field K] [Field F] [Field F'] [Algebra K F] [Algebra K F']
[Algebra F F'] {g : SemilinearAut K F} {g' : SemilinearAut K F'} (hgg' : IntertwinesAlong
(algebraMap F F') g g') (w : Place K F') : (g' • w).ramificationIndex F = w.ramificationIndex F