Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.glueDataT
{X : AlgebraicGeometry.Scheme} →
(I : X.IdealSheafData) → (U V : ↑X.affineOpens) → I.glueDataObjPullback U V ⟶ I.glueDataObjPullback V U(Implementation) Transition maps in the glue data for 𝒪ₓ/I.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- Set.Elemstatement and proof · cited by 7,166
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.Scheme.Opensstatement · cited by 1,149
- CategoryTheory.Limits.pullback.sndproof · cited by 637
- AlgebraicGeometry.Scheme.affineOpensstatement and proof · cited by 220
- AlgebraicGeometry.Scheme.IdealSheafDatastatement and proof · cited by 192
- CategoryTheory.Limits.pullback.liftproof · cited by 114
- AlgebraicGeometry.Scheme.homOfLEproof · cited by 103
- AlgebraicGeometry.Scheme.IdealSheafData.idealproof · cited by 88
Cited by3
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IdealSheafData.glueDataproof · cited by 8
- AlgebraicGeometry.Scheme.IdealSheafData.glueDataT'Auxproof · cited by 2
- AlgebraicGeometry.Scheme.IdealSheafData.glueData_tstatement · cited by 0