Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Modules.exists_isOpenCover_presentation
∀ {X : AlgebraicGeometry.Scheme} (M : X.Modules) [SheafOfModules.IsQuasicoherent M],
∃ ι U x, TopologicalSpace.IsOpenCover U ∧ ∀ (i : ι), AlgebraicGeometry.IsAffineOpen (U i)- Defined in
- Mathlib.AlgebraicGeometry.Modules.Tilde
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 146 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites76
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Top.topproof · cited by 9,680
- Oppositestatement · cited by 8,081
- CategoryTheory.Iso.homproof · cited by 7,684
- Set.Elemproof · cited by 7,166
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- CategoryTheory.Isoproof · cited by 3,963
- AddMonoidHomstatement · cited by 3,230
- TopCat.carrierstatement and proof · cited by 3,184
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Modules.exists_affineOpenCover_presentationproof · cited by 0