Module

SemilinearAut_restrict_smul.lean

Nyll.AlgebraicCurves.Divisors.Semilinear.SemilinearAut_restrict_smul

2 declarations indexed from sourceView source ↗

Module documentation

Semilinear Aut restrict smul

Imports1

Nyll.AlgebraicCurves.Divisors.Correspondences

Imported by3

theorem

solution

L29 ↗

AlgebraicCurves.Divisors.Semilinear.Proofs.SemilinearAut_restrict_smul.solution

Source context 5 commands

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

section ProofImplementation
namespace AlgebraicCurves.Divisors.Semilinear.Proofs.SemilinearAut_restrict_smul
open AlgebraicCurve AlgebraicCurve.SemilinearAut
open scoped Pointwise
noncomputable section

Lean source · statement

theorem solution {K F F' : Type*} [Field K] [Field F] [Field F'] [Algebra K F] [Algebra K F']
  [Algebra F F'] [IsScalarTower K F F'] [Algebra.IsIntegral F F'] {g : SemilinearAut K F} {g' :
  SemilinearAut K F'} (hgg' : IntertwinesAlong (algebraMap F F') g g') (w : Place K F') : (g' •
  w).restrict F = g • (w.restrict F)

theorem

restrict_smul

L48 ↗

AlgebraicCurve.SemilinearAut.restrict_smul

Source context 1 command