Theorems · Definition · algebraic geometry
AlgebraicGeometry.LocallyRingedSpace.GlueData.isoSheafedSpace
(D : AlgebraicGeometry.LocallyRingedSpace.GlueData) → D.glued.toSheafedSpace ≅ D.toSheafedSpaceGlueData.glued
The gluing as locally ringed spaces is isomorphic to the gluing as ringed spaces.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Oppositestatement · cited by 8,081
- CategoryTheory.Isostatement · cited by 3,963
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement · cited by 1,892
- AlgebraicGeometry.LocallyRingedSpacestatement · cited by 205
- CategoryTheory.Limits.WalkingMultispanstatement · cited by 151
- AlgebraicGeometry.SheafedSpacestatement · cited by 142
- CategoryTheory.GlueData.Jstatement · cited by 141
- CategoryTheory.Limits.MultispanIndex.multispanstatement · cited by 139
- CategoryTheory.Limits.MultispanShape.Rstatement · cited by 133
- CategoryTheory.Limits.MultispanShape.Lstatement · cited by 129
- CategoryTheory.Limits.MultispanShape.prodstatement · cited by 93
Cited by4
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.GlueData.isoCarrierproof · cited by 3
- AlgebraicGeometry.LocallyRingedSpace.GlueData.ι_isoSheafedSpace_invstatement · cited by 2
- AlgebraicGeometry.Scheme.GlueData.ι_isoCarrier_invproof · cited by 2
- AlgebraicGeometry.LocallyRingedSpace.GlueData.ι_isoSheafedSpace_inv_assocstatement and proof · cited by 0