Theorems · Definition · algebraic geometry
CommAlgCat.etale
(R : Type u) → [inst : CommRing R] → CategoryTheory.ObjectProperty (CommAlgCat R)
The object property of étale R-algebras.
- Defined in
- Mathlib.RingTheory.Etale.Finite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, 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 and proof · cited by 96
- CommAlgCat.carrierproof · cited by 77
- Algebra.Etaleproof · cited by 34
Cited by1
Results whose statement or proof uses this declaration.
- CommAlgCat.finiteEtaleproof · cited by 11