Theorems · Theorem · algebraic geometry
AlgebraicGeometry.isClosedImmersion_of_comp_eq_id
∀ {X Y : AlgebraicGeometry.Scheme} [Subsingleton ↥Y] (f : X ⟶ Y) (g : Y ⟶ X),
CategoryTheory.CategoryStruct.comp g f = CategoryTheory.CategoryStruct.id Y → AlgebraicGeometry.IsClosedImmersion g- Cited by
- 0 results in Mathlib
- Foundations
- Depth 190 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Subsingleton
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites60
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- Top.topproof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- Set.rangeproof · cited by 4,705
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.