Theorems · Theorem · algebraic geometry
AlgebraicGeometry.IsAffineOpen.iInf
∀ {X : AlgebraicGeometry.Scheme}
[AlgebraicGeometry.IsAffineHom (CategoryTheory.Limits.pullback.diagonal (CategoryTheory.Limits.terminal.from X))]
{ι : Sort u_1} [Finite ι] [Nonempty ι] {U : ι → X.Opens},
(∀ (i : ι), AlgebraicGeometry.IsAffineOpen (U i)) → AlgebraicGeometry.IsAffineOpen (⨅ i, U i)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 184 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredproof · cited by 6,101
- TopCat.carrierstatement · cited by 3,184
- Finitestatement and proof · cited by 3,029
- 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
- iInfstatement · cited by 1,690
- AlgebraicGeometry.Scheme.Opensstatement and proof · cited by 1,149
- AlgebraicGeometry.IsAffineOpenstatement and proof · cited by 222
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.