Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.isEmbedding
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [self : AlgebraicGeometry.IsPreimmersion f], Topology.IsEmbedding ⇑fAlias of AlgebraicGeometry.IsPreimmersion.isEmbedding.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- TopCat.carrierstatement · cited by 3,184
- AlgebraicGeometry.Schemestatement · cited by 2,540
- ContinuousMapstatement · cited by 2,491
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement · cited by 1,892
- TopCatstatement · cited by 1,889
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement · cited by 1,734
Cited by7
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IsQuasiAffine.isBasis_basicOpenproof · cited by 2
- AlgebraicGeometry.Scheme.Hom.isDiscrete_preimage_singletonproof · cited by 2
- AlgebraicGeometry.IsPreimmersion.of_compproof · cited by 1
- AlgebraicGeometry.Scheme.Hom.asFiberHom_applyproof · cited by 1
- AlgebraicGeometry.IsLocallyArtinian.of_isImmersionproof · cited by 1
- AlgebraicGeometry.IsPreimmersion.base_embeddingproof · cited by 0
- AlgebraicGeometry.Scheme.Hom.stalkFunctor_toImage_injectiveproof · cited by 0