Theorems · Definition · algebraic geometry
CommAlgCat.finiteEtale
(R : Type u) → [inst : CommRing R] → CategoryTheory.ObjectProperty (CommAlgCat R)
The object property of finite étale R-algebras.
- Defined in
- Mathlib.RingTheory.Etale.Finite
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 57 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.
Cites5
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.ObjectPropertystatement · cited by 798
- CommAlgCatstatement · cited by 96
- CommAlgCat.etaleproof · cited by 0
- CommAlgCat.finiteproof · cited by 0
Cited by22
Results whose statement or proof uses this declaration.
- CommAlgCat.FiniteEtaleproof · cited by 10
- CommAlgCat.FiniteEtale.finiteSpecstatement · cited by 3
- CommAlgCat.FiniteEtale.equivOfIsSepClosedstatement · cited by 3
- CommAlgCat.FiniteEtale.ofHomstatement · cited by 2
- CommAlgCat.FiniteEtale.baseChangestatement · cited by 2
- CommAlgCat.FiniteEtale.fiberstatement · cited by 2
- CommAlgCat.FiniteEtale.fiberIsoCompstatement · cited by 0
- CommAlgCat.FiniteEtale.fiberIsoFiniteSpecstatement · cited by 0
- CommAlgCat.FiniteEtale.fiber_mapstatement · cited by 0
- CommAlgCat.FiniteEtale.fiber_obj_objstatement · cited by 0
- CommAlgCat.FiniteEtale.finiteSpec_mapstatement · cited by 0
- CommAlgCat.FiniteEtale.finiteSpec_obj_objstatement · cited by 0