Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.iUnion_support_ker_openCover_map_comp
∀ {X Y : AlgebraicGeometry.Scheme} (f : X.Hom Y) [AlgebraicGeometry.QuasiCompact f] (𝒰 : X.OpenCover) [Finite 𝒰.I₀],
⋃ i, ↑(AlgebraicGeometry.Scheme.Hom.ker (CategoryTheory.CategoryStruct.comp (𝒰.f i) f)).support = ↑f.ker.support- Cited by
- 1 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites46
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.CategoryStruct.compstatement and proof · cited by 17,999
- SetLike.coestatement and proof · cited by 8,199
- Set.Elemproof · cited by 7,166
- Set.imageproof · cited by 5,609
- Set.univproof · cited by 3,945
- TopCat.carrierstatement and proof · cited by 3,184
- Finitestatement and proof · cited by 3,029
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- Set.iUnionstatement and proof · cited by 2,483
- CommRingCatstatement · cited by 2,333
- Set.extproof · cited by 2,266
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.support_kerproof · cited by 6