Theorems · Theorem · algebraic geometry
AlgebraicGeometry.pointsPi_surjective_of_isAffine
∀ {ι : Type u} (R : ι → CommRingCat) (X : AlgebraicGeometry.Scheme) [AlgebraicGeometry.IsAffine X],
Function.Surjective (AlgebraicGeometry.pointsPi R X)- Defined in
- Mathlib.AlgebraicGeometry.PointsPi
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AlgebraicGeometry.IsAffine
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement and proof · cited by 2,333
- CommRingCat.carrierstatement and proof · cited by 1,096
- AlgebraicGeometry.Specstatement and proof · cited by 626
- AlgebraicGeometry.Spec.mapproof · cited by 332
- CommRingCat.ofHomproof · cited by 259
- AlgebraicGeometry.IsAffinestatement and proof · cited by 159
- AlgebraicGeometry.Scheme.isoSpecproof · cited by 56
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.pointsPi_surjectiveproof · cited by 0