Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.ProEt.forget
(S : AlgebraicGeometry.Scheme) → CategoryTheory.Functor S.ProEt (CategoryTheory.Over S)
The forgetful functor the pro-étale site of S to schemes over S.
- Defined in
- Mathlib.AlgebraicGeometry.Sites.Proetale
- Cited by
- 3 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.WeaklyEtaleproof · cited by 14
- CategoryTheory.MorphismProperty.Over.forgetproof · cited by 14
- AlgebraicGeometry.Scheme.ProEtstatement · cited by 6
Cited by6
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.ProEt.precoverageproof · cited by 1
- AlgebraicGeometry.Scheme.ellAdicSheafproof · cited by 1
- AlgebraicGeometry.Scheme.ProEt.forget_mapstatement and proof · cited by 0
- AlgebraicGeometry.Scheme.ProEt.forget_objstatement and proof · cited by 0
- AlgebraicGeometry.Scheme.ProEt.topology_eq_inducedTopologystatement · cited by 0
- AlgebraicGeometry.Scheme.ProEt.forgetFullyFaithfulstatement · cited by 0