Theorems · Definition · algebraic geometry
CommAlgCat.FiniteEtale
(R : Type u) → [CommRing R] → Type (max u (v + 1))
The category of finite étale R-algebras.
- Defined in
- Mathlib.RingTheory.Etale.Finite
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.ObjectProperty.FullSubcategoryproof · cited by 726
- CommAlgCat.finiteEtaleproof · cited by 11
Cited by21
Results whose statement or proof uses this declaration.
- CommAlgCat.FiniteEtale.ofstatement · cited by 6
- CommAlgCat.FiniteEtale.finiteSpecstatement and proof · cited by 3
- CommAlgCat.FiniteEtale.equivOfIsSepClosedstatement and proof · cited by 3
- CommAlgCat.FiniteEtale.ofHomstatement · cited by 2
- CommAlgCat.FiniteEtale.baseChangestatement and proof · cited by 2
- CommAlgCat.FiniteEtale.fiberstatement and proof · cited by 2
- CommAlgCat.FiniteEtale.fiberIsoCompstatement · cited by 0
- CommAlgCat.FiniteEtale.fiberIsoFiniteSpecstatement and proof · cited by 0
- CommAlgCat.FiniteEtale.fiber_mapstatement and proof · cited by 0
- CommAlgCat.FiniteEtale.fiber_obj_objstatement and proof · cited by 0
- CommAlgCat.FiniteEtale.finiteSpec_mapstatement and proof · cited by 0
- CommAlgCat.FiniteEtale.finiteSpec_obj_objstatement and proof · cited by 0