Module

Scheme_Modules_isStackFor_openCover.lean

Nyll.AlgebraicCurves.Geometry.Sheaves.Scheme_Modules_isStackFor_openCover
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Scheme Modules is Stack For open Cover

Declarations

AlgebraicGeometry.Scheme.Modules.isStackFor_openCover
Source context 4 commands

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

section ProofImplementation
namespace AlgebraicCurves.Geometry.Sheaves.Proofs.Scheme_Modules_isStackFor_openCover
universe v u
open CategoryTheory CategoryTheory.Limits AlgebraicGeometry
theorem _root_.AlgebraicGeometry.Scheme.Modules.isStackFor_openCover (Y : Scheme.{u}) (𝒰 :
  Y.OpenCover) :
    ((Scheme.Modules.pseudofunctor.{u}).comp Bicategory.Adj.forget₁).IsStackFor
      (Presieve.ofArrows 𝒰.X 𝒰.f)