Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.AffineZariskiSite.isColimitCocone
(X : AlgebraicGeometry.Scheme) → CategoryTheory.Limits.IsColimit (AlgebraicGeometry.Scheme.AffineZariskiSite.cocone X)
X is the colimit of its affine opens.
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- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- CategoryTheory.Functor.compstatement · cited by 6,529
- 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
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement · cited by 1,734
- AlgebraicGeometry.Scheme.Opensstatement · cited by 1,149
- AlgebraicGeometry.PresheafedSpace.presheafstatement · cited by 1,104
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