Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.AffineEtale.mk
{S : AlgebraicGeometry.Scheme} →
{R : CommRingCat} → (f : AlgebraicGeometry.Spec R ⟶ S) → [AlgebraicGeometry.Etale f] → S.AffineEtaleConstruct an object of the small affine étale site.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AlgebraicGeometry.Etale
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Top.topproof · cited by 9,680
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement and proof · cited by 2,333
- AlgebraicGeometry.Specstatement and proof · cited by 626
- AlgebraicGeometry.Etalestatement and proof · cited by 27
- AlgebraicGeometry.Scheme.AffineEtalestatement · cited by 4
- CategoryTheory.MorphismProperty.CostructuredArrow.mkproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.AffineEtale.mk_homstatement and proof · cited by 0
- AlgebraicGeometry.Scheme.AffineEtale.mk_leftstatement and proof · cited by 0
- AlgebraicGeometry.Scheme.AffineEtale.mk_right_asstatement and proof · cited by 0