Module

Scheme_Modules_isInvertible_glueOfCocycle.lean

Nyll.AlgebraicCurves.Geometry.Sheaves.Scheme_Modules_isInvertible_glueOfCocycle
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Scheme Modules is Invertible glue Of Cocycle

Declarations

AlgebraicGeometry.Scheme.Modules.isInvertible_glueOfCocycle
Source context 8 commands

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

section ProofImplementation
namespace AlgebraicCurves.Geometry.Sheaves.Proofs.Scheme_Modules_isInvertible_glueOfCocycle
open _root_.CategoryTheory
open _root_.Opposite
open _root_.TopologicalSpace
open _root_.CategoryTheory.MonoidalCategory
open _root_.AlgebraicGeometry
universe u
theorem _root_.AlgebraicGeometry.Scheme.Modules.isInvertible_glueOfCocycle
    {X : Scheme.{u}} {ι : Type u} {U : ι → X.Opens} (hU : ⨆ i, U i = ⊤) (c :
      Scheme.Modules.UnitCocycle U) :
    Scheme.Modules.IsInvertible (Scheme.Modules.glueOfCocycle c)