Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.subschemeIso
{X : AlgebraicGeometry.Scheme} → (I : X.IdealSheafData) → I.subscheme ≅ I.glueData.glued(Implementation) The isomorphism between the subscheme and the glued scheme.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Isostatement · cited by 3,963
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.PresheafedSpace.Hom.baseproof · cited by 1,135
- AlgebraicGeometry.LocallyRingedSpace.Hom.toHomproof · cited by 995
- AlgebraicGeometry.Scheme.Hom.toLRSHom'proof · cited by 895
- CategoryTheory.Epiproof · cited by 688
- AlgebraicGeometry.Scheme.IdealSheafDatastatement and proof · cited by 192
- CategoryTheory.asIsoproof · cited by 177
- AlgebraicGeometry.Scheme.GlueData.gluedstatement and proof · cited by 53
- AlgebraicGeometry.Scheme.IdealSheafData.subschemestatement · cited by 36
- AlgebraicGeometry.Scheme.ofRestrictproof · cited by 9
- AlgebraicGeometry.Scheme.IdealSheafData.glueDatastatement and proof · cited by 8
Cited by4
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IdealSheafData.subschemeιproof · cited by 36
- AlgebraicGeometry.Scheme.IdealSheafData.subschemeCoverproof · cited by 10
- AlgebraicGeometry.Scheme.IdealSheafData.range_subschemeιproof · cited by 4
- AlgebraicGeometry.Scheme.IdealSheafData.subschemeCover_map_subschemeιproof · cited by 3