Module

bijective_app_of_isProper_of_flat_of_geometricallyReduced_of_geometricallyConnected.lean

Nyll.AlgebraicCurves.Geometry.Curves.bijective_app_of_isProper_of_flat_of_geometricallyReduced_of_geometricallyConnected
1 declaration indexed from sourceView source ↗

bijective app of is Proper of flat of geometrically Reduced of geometrically Connected

Imports8
Imported by2

Declarations

AlgebraicGeometry.bijective_app_of_isProper_of_flat_of_geometricallyReduced_of_geometricallyConnected
Source context 6 commands

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

section ProofImplementation
namespace AlgebraicGeometry
universe u
open _root_.AlgebraicCurves.Geometry.Curves.Proofs in
open bijective_app_of_isProper_of_flat_of_geometricallyReduced_of_geometricallyConnected in
open AlgebraicGeometry CategoryTheory in
theorem bijective_app_of_isProper_of_flat_of_geometricallyReduced_of_geometricallyConnected
    {X B : Scheme.{u}} (p : X ⟶ B) [IsProper p] [Flat p] [LocallyOfFinitePresentation p]
    [GeometricallyReduced p] [GeometricallyConnected p] (U : B.Opens) :
    Function.Bijective (p.app U)