Theorems · Definition · algebraic geometry
CommAlgCat.FiniteEtale.of
(R : Type u) →
[inst : CommRing R] →
(S : Type v) →
[inst_1 : CommRing S] →
[inst_2 : Algebra R S] → [Module.Finite R S] → [Algebra.Etale R S] → CommAlgCat.FiniteEtale RConstruct a term of FiniteEtale R from a finite étale R-algebra.
- Defined in
- Mathlib.RingTheory.Etale.Finite
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Algebrastatement and proof · cited by 11,388
- Module.Finitestatement and proof · cited by 1,032
- Algebra.Etalestatement and proof · cited by 34
- CommAlgCat.ofproof · cited by 33
- CommAlgCat.FiniteEtalestatement · cited by 10
Cited by9
Results whose statement or proof uses this declaration.
- CommAlgCat.FiniteEtale.equivOfIsSepClosedproof · cited by 3
- CommAlgCat.FiniteEtale.ofHomstatement · cited by 2
- CommAlgCat.FiniteEtale.baseChangeproof · cited by 2
- CommAlgCat.FiniteEtale.ofHom_homstatement · cited by 0
- CommAlgCat.FiniteEtale.of.congr_simpstatement and proof · cited by 0
- CommAlgCat.FiniteEtale.of_objstatement and proof · cited by 0
- CommAlgCat.FiniteEtale.baseChange_map_homstatement · cited by 0
- CommAlgCat.FiniteEtale.equivOfIsSepClosed_inverse_mapstatement · cited by 0
- CommAlgCat.FiniteEtale.equivOfIsSepClosed_inverse_objstatement · cited by 0