AlgebraicCurve.Divisor.pushforwardAlong_pushforwardAlong
Source context 3 commands
Surrounding namespaces, section variables, and local commands at this declaration.
section ProofImplementation
namespace AlgebraicCurves.Divisors.Proofs.Divisor_pushforwardAlong_pushforwardAlong
open IsDedekindDomain AlgebraicCurveLean source · statement
theorem _root_.AlgebraicCurve.Divisor.pushforwardAlong_pushforwardAlong {K F F' F'' : Type*} [Field
K] [Field F] [Field F'] [Field F''] [Algebra K F] [Algebra K F'] [Algebra K F''] (φ : F →ₐ[K] F')
(χ : F' →ₐ[K] F'') (hφ : φ.toRingHom.IsIntegral) (hχ : χ.toRingHom.IsIntegral) (hχφ : (χ.comp
φ).toRingHom.IsIntegral) (D : Divisor K F'') : Divisor.pushforwardAlong φ hφ
(Divisor.pushforwardAlong χ hχ D) = Divisor.pushforwardAlong (χ.comp φ) hχφ D