Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.generate_singleton_mem_propQCTopology
∀ {P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme} {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y),
P f →
∀ [AlgebraicGeometry.Surjective f] [AlgebraicGeometry.QuasiCompact f],
CategoryTheory.Sieve.generate (CategoryTheory.Presieve.singleton f) ∈
(AlgebraicGeometry.Scheme.propQCTopology P) Y- Cited by
- 0 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Quiver.Homstatement and proof · cited by 32,603
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.GrothendieckTopologystatement · cited by 1,415
- CategoryTheory.Sievestatement · cited by 552
- CategoryTheory.Sieve.generatestatement · cited by 117
- AlgebraicGeometry.QuasiCompactstatement and proof · cited by 102
- CategoryTheory.Presieve.singletonstatement · cited by 57
- AlgebraicGeometry.Surjectivestatement and proof · cited by 48
- CategoryTheory.Precoverage.generate_mem_toGrothendieckproof · cited by 12
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