Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.support_comap
∀ {X Y : AlgebraicGeometry.Scheme} (I : Y.IdealSheafData) (f : X ⟶ Y), (I.comap f).support = I.support.preimage ⋯- Cited by
- 2 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites35
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setproof · cited by 53,352
- Quiver.Homstatement and proof · cited by 32,603
- SetLike.coeproof · cited by 8,199
- Set.preimageproof · cited by 4,946
- CategoryTheory.ConcreteCategory.homstatement and proof · cited by 4,022
- TopCat.carrierstatement and proof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- ContinuousMapstatement · cited by 2,491
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.exists_mem_of_isClosed_of_nonemptyproof · cited by 1
- AlgebraicGeometry.Scheme.IdealSheafData.map_vanishingIdealproof · cited by 1