Theorems · Theorem · algebraic geometry
AlgebraicGeometry.quasiSeparatedSpace_of_quasiSeparated
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [hY : QuasiSeparatedSpace ↥Y] [AlgebraicGeometry.QuasiSeparated f],
QuasiSeparatedSpace ↥X- Cited by
- 3 results in Mathlib
- Foundations
- Depth 184 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- TopCat.carrierstatement and proof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement and proof · cited by 1,734
- CategoryTheory.Limits.terminalproof · cited by 141
- CategoryTheory.Limits.terminal.fromproof · cited by 77
- AlgebraicGeometry.QuasiSeparatedstatement and proof · cited by 52
Cited by3
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.isQuasiSeparated_preimageproof · cited by 1
- AlgebraicGeometry.quasiSeparated_iff_quasiSeparatedSpaceproof · cited by 0
- AlgebraicGeometry.QuasiSeparated.of_compproof · cited by 0