Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.support_iSup
∀ {X : AlgebraicGeometry.Scheme} {ι : Sort u_1} (I : ι → X.IdealSheafData), (iSup I).support = ⨅ i, (I i).support- Cited by
- 1 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopCat.carrierstatement · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- iSupstatement · cited by 2,415
- 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.IdealSheafDatastatement and proof · cited by 192
- TopologicalSpace.Closedsstatement · cited by 168
- GaloisConnection.l_iSupproof · cited by 78
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.exists_mem_of_isClosed_of_nonemptyproof · cited by 1