Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.ideal_biInf
∀ {X : AlgebraicGeometry.Scheme} {ι : Type u_1} (I : ι → X.IdealSheafData) {s : Set ι},
s.Finite → (⨅ i ∈ s, I i).ideal = ⨅ i ∈ s, (I i).ideal- Cited by
- 1 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- CategoryTheory.Functor.objstatement · cited by 19,642
- Top.topproof · cited by 9,680
- Oppositestatement · cited by 8,081
- Set.Elemstatement · cited by 7,166
- Idealstatement · cited by 4,748
- TopCat.carrierstatement · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- TopologicalSpace.Opensstatement · cited by 2,040
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IdealSheafData.ideal_iInfproof · cited by 0