Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.singleton_mem_fppfPrecoverage
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [AlgebraicGeometry.Flat f] [AlgebraicGeometry.Surjective f]
[AlgebraicGeometry.LocallyOfFinitePresentation f],
CategoryTheory.Presieve.singleton f ∈ AlgebraicGeometry.Scheme.fppfPrecoverage.coverings Y- Defined in
- Mathlib.AlgebraicGeometry.Sites.Fpqc
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- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
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- Setstatement · cited by 53,352
- Quiver.Homstatement and proof · cited by 32,603
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.Presievestatement and proof · cited by 449
- CategoryTheory.Precoverage.coveringsstatement and proof · cited by 194
- CategoryTheory.Presieve.singletonstatement · cited by 57
- AlgebraicGeometry.Flatstatement and proof · cited by 49
- AlgebraicGeometry.Surjectivestatement and proof · cited by 48
- CategoryTheory.Precoverage.ZeroHypercover.mem₀proof · cited by 26
- AlgebraicGeometry.LocallyOfFinitePresentationstatement and proof · cited by 26
- CategoryTheory.Presieve.ofArrows_pUnitproof · cited by 10
- AlgebraicGeometry.Scheme.Hom.coverproof · cited by 8
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