Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.Etale.forget
(X : AlgebraicGeometry.Scheme) → CategoryTheory.Functor X.Etale (CategoryTheory.Over X)
The forgetful functor from schemes étale over X to schemes over X.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functorstatement · cited by 16,252
- Top.topproof · cited by 9,680
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.Overstatement · cited by 935
- AlgebraicGeometry.Etaleproof · cited by 27
- AlgebraicGeometry.Scheme.Etalestatement · cited by 16
- CategoryTheory.MorphismProperty.Over.forgetproof · cited by 14
Cited by8
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.pointSmallEtaleproof · cited by 7
- AlgebraicGeometry.Scheme.ofArrows_mem_smallEtaleTopology_iffproof · cited by 1
- AlgebraicGeometry.Scheme.pointSmallEtaleFiberObjToPreimage_coestatement · cited by 1
- AlgebraicGeometry.Scheme.Etale.forgetFullyFaithfulstatement · cited by 0
- AlgebraicGeometry.Scheme.Etale.forget_mkstatement · cited by 0
- AlgebraicGeometry.Scheme.Etale.forget_obj_homstatement · cited by 0
- AlgebraicGeometry.Scheme.Etale.forget_obj_leftstatement · cited by 0
- AlgebraicGeometry.Scheme.pointSmallEtale_fiberstatement · cited by 0