Theorems · Theorem · algebraic geometry
AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.scheme_toScheme
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [inst : AlgebraicGeometry.IsOpenImmersion f],
AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.toScheme Y f.toPshHom = X- Defined in
- Mathlib.AlgebraicGeometry.OpenImmersion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement · cited by 1,734
- AlgebraicGeometry.LocallyRingedSpace.Hom.toHomstatement · cited by 995
- AlgebraicGeometry.Scheme.Hom.toLRSHom'statement · cited by 895
- AlgebraicGeometry.IsOpenImmersionstatement and proof · cited by 476
- AlgebraicGeometry.Scheme.Hom.toLRSHomproof · cited by 58
- AlgebraicGeometry.PresheafedSpace.Hom.toPshHomstatement · cited by 7
- AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.toSchemestatement · cited by 4
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