Theorems · Theorem · algebraic geometry
AlgebraicGeometry.quasiSeparatedSpace_iff_quasiSeparated
∀ (X : AlgebraicGeometry.Scheme), QuasiSeparatedSpace ↥X ↔ AlgebraicGeometry.QuasiSeparated (CategoryTheory.Limits.terminal.from X)
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopCat.carrierstatement · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- 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
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement · cited by 1,734
- CategoryTheory.Limits.terminalstatement · cited by 141
- CategoryTheory.Limits.terminal.fromstatement · cited by 77
- AlgebraicGeometry.QuasiSeparatedstatement · cited by 52
- QuasiSeparatedSpacestatement · cited by 49
- AlgebraicGeometry.HasAffineProperty.iff_of_isAffineproof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.quasiSeparatedSpace_of_quasiSeparatedproof · cited by 3