Theorems · Definition · commutative algebra
RingHom.FormallyEtale
{R : Type u_1} → {S : Type u_2} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → PropA ring homomorphism R →+* A is formally étale if it is formally unramified and formally smooth.
See Algebra.FormallyEtale.
- Defined in
- Mathlib.RingTheory.Etale.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses no axioms
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
- RingHomstatement and proof · cited by 10,189
- Algebra.FormallyEtaleproof · cited by 37
Cited by5
Results whose statement or proof uses this declaration.
- Algebra.Extension.tensorH1CotangentOfFormallyEtalestatement and proof · cited by 0
- RingHom.formallyEtale_algebraMapstatement · cited by 0
- RingHom.FormallyEtale.compstatement and proof · cited by 0
- RingHom.FormallyEtale.of_compstatement and proof · cited by 0
- Algebra.Extension.tensorCotangentSpaceOfFormallyEtalestatement and proof · cited by 0