Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.Etale.mk
{X Y : AlgebraicGeometry.Scheme} → (f : Y ⟶ X) → [AlgebraicGeometry.Etale f] → X.EtaleConstructor for objects in the étale site of a scheme X: it takes
an étale morphism f : Y ⟶ X as an input.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 101 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.
Cites6
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
- AlgebraicGeometry.Etalestatement and proof · cited by 27
- AlgebraicGeometry.Scheme.Etalestatement · cited by 16
- CategoryTheory.MorphismProperty.Over.mkproof · cited by 12
Cited by3
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Etale.forget_mkstatement · cited by 0
- AlgebraicGeometry.Scheme.Etale.mk.congr_simpstatement and proof · cited by 0
- AlgebraicGeometry.Scheme.Etale.recstatement and proof · cited by 0