Theorems · Definition · algebraic geometry

AlgebraicGeometry.SheafedSpace.GlueData.isoPresheafedSpace

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    (D : AlgebraicGeometry.SheafedSpace.GlueData C) →
      [inst_1 : CategoryTheory.Limits.HasLimits C] → D.glued.toPresheafedSpace ≅ D.toPresheafedSpaceGlueData.glued

The gluing as sheafed spaces is isomorphic to the gluing as presheafed spaces.

Defined in

Mathlib.Geometry.RingedSpace.PresheafedSpace.Gluing

Cited by

2 results in Mathlib

Foundations

Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasLimits