Theorems · Inductive type · algebraic geometry
AlgebraicGeometry.IsSeparated
{X Y : AlgebraicGeometry.Scheme} → (X ⟶ Y) → PropA morphism is separated if the diagonal map is a closed immersion.
- Cited by
- 31 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- AlgebraicGeometry.Schemestatement · cited by 2,540
Cited by37
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.IsAffineHom.of_compstatement and proof · cited by 3
- AlgebraicGeometry.IsClosedImmersion.of_compstatement and proof · cited by 3
- AlgebraicGeometry.IsProper.of_compstatement and proof · cited by 3
- AlgebraicGeometry.ext_of_isDominant_of_isSeparatedstatement and proof · cited by 3
- AlgebraicGeometry.isProper_eqstatement and proof · cited by 2
- AlgebraicGeometry.IsFinite.of_compstatement and proof · cited by 2
- AlgebraicGeometry.Scheme.PartialMap.equiv_iff_of_isSeparated_of_lestatement and proof · cited by 2
- AlgebraicGeometry.isSeparated_iffstatement and proof · cited by 2
- AlgebraicGeometry.Scheme.isSeparated_iffstatement and proof · cited by 1
- AlgebraicGeometry.Scheme.IsSeparated.casesOnstatement and proof · cited by 1
- AlgebraicGeometry.IsIntegralHom.of_compstatement and proof · cited by 1
- AlgebraicGeometry.IsProper.casesOnstatement and proof · cited by 1