Theorems · Inductive type · algebraic geometry
AlgebraicGeometry.WeaklyEtale
{X Y : AlgebraicGeometry.Scheme} → (X ⟶ Y) → PropA morphism is weakly étale if it is flat and the diagonal map is flat.
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- AlgebraicGeometry.Schemestatement · cited by 2,540
Cited by22
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.ProEtproof · cited by 6
- AlgebraicGeometry.Scheme.proetalePrecoverageproof · cited by 4
- AlgebraicGeometry.Scheme.ProEt.forgetproof · cited by 3
- AlgebraicGeometry.Scheme.ProEt.mkstatement and proof · cited by 3
- AlgebraicGeometry.Scheme.proetalePrecoverage_le_precoverage_weaklyEtalestatement · cited by 1
- AlgebraicGeometry.Scheme.ProEt.bot_mem_topologystatement and proof · cited by 1
- AlgebraicGeometry.weaklyEtale_iffstatement and proof · cited by 1
- AlgebraicGeometry.Scheme.etalePrecoverage_le_proetalePrecoverageproof · cited by 1
- AlgebraicGeometry.WeaklyEtale.casesOnstatement and proof · cited by 1
- AlgebraicGeometry.Scheme.proetalePrecoverage_le_fpqcPrecoverageproof · cited by 1
- AlgebraicGeometry.Scheme.proetaleTopology_eq_propQCTopologystatement · cited by 0
- AlgebraicGeometry.Scheme.ProEt.equivOfIsEmptyproof · cited by 0