Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.proetalePrecoverage
CategoryTheory.Precoverage AlgebraicGeometry.Scheme
Big pro-étale site: the pro-étale precoverage on the category of schemes given by fpqc covers of weakly étale morphisms. [Definition 4.1.1][proetale2015]
- Defined in
- Mathlib.AlgebraicGeometry.Sites.Proetale
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AlgebraicGeometry.Schemestatement · cited by 2,540
- CategoryTheory.Precoveragestatement · cited by 204
- AlgebraicGeometry.WeaklyEtaleproof · cited by 14
- AlgebraicGeometry.Scheme.propQCPrecoverageproof · cited by 10
Cited by6
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.proetaleTopologyproof · cited by 4
- AlgebraicGeometry.Scheme.proetalePrecoverage_le_precoverage_weaklyEtalestatement · cited by 1
- AlgebraicGeometry.Scheme.ProEt.precoverageproof · cited by 1
- AlgebraicGeometry.Scheme.etalePrecoverage_le_proetalePrecoveragestatement · cited by 1
- AlgebraicGeometry.Scheme.proetalePrecoverage_le_fpqcPrecoveragestatement · cited by 1
- AlgebraicGeometry.Scheme.ProEt.topology_eq_inducedTopologyproof · cited by 0