Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.singleton_mem_qcPrecoverage
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [AlgebraicGeometry.Surjective f] [AlgebraicGeometry.QuasiCompact f],
CategoryTheory.Presieve.singleton f ∈ AlgebraicGeometry.Scheme.qcPrecoverage.coverings Y- Cited by
- 1 results in Mathlib
- Foundations
- Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Quiver.Homstatement and proof · cited by 32,603
- Top.topproof · cited by 9,680
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercoverproof · cited by 469
- CategoryTheory.Presievestatement · cited by 449
- AlgebraicGeometry.Scheme.precoverageproof · cited by 336
- CategoryTheory.Precoverageproof · cited by 204
- CategoryTheory.Precoverage.coveringsstatement and proof · cited by 194
- AlgebraicGeometry.QuasiCompactstatement and proof · cited by 102
- AlgebraicGeometry.Scheme.Coverproof · cited by 88
- CategoryTheory.Presieve.singletonstatement and proof · cited by 57
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.singleton_mem_propQCPrecoverageproof · cited by 2