Theorems · Theorem · algebraic geometry
AlgebraicGeometry.quasiSeparated_iff_quasiSeparatedSpace
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [QuasiSeparatedSpace ↥Y],
AlgebraicGeometry.QuasiSeparated f ↔ QuasiSeparatedSpace ↥X- Cited by
- 0 results in Mathlib
- Foundations
- Depth 187 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- QuasiSeparatedSpace
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Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- 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
- AlgebraicGeometry.QuasiSeparatedstatement and proof · cited by 52
- QuasiSeparatedSpacestatement and proof · cited by 49
- AlgebraicGeometry.quasiSeparatedSpace_of_quasiSeparatedproof · cited by 3
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