Theorems · Inductive type · commutative algebra
Algebra.IsStandardEtale
(R : Type u_4) → (S : Type u_5) → [inst : CommRing R] → [inst_1 : CommRing S] → [Algebra R S] → Prop
The class of standard etale algebras,
defined to be the existence of a StandardEtalePresentation.
- Defined in
- Mathlib.RingTheory.Etale.StandardEtale
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by12
Results whose statement or proof uses this declaration.
- HasStandardEtaleSurjectionOn.mkstatement and proof · cited by 2
- HasStandardEtaleSurjectionOn.of_dvdproof · cited by 2
- Algebra.IsStandardEtale.of_equivstatement and proof · cited by 2
- Algebra.IsStandardEtale.of_isLocalizationAwaystatement and proof · cited by 2
- Algebra.IsEtaleAt.exists_isStandardEtalestatement · cited by 1
- HasStandardEtaleSurjectionOn.isStandardEtalestatement · cited by 1
- Algebra.IsSmoothAt.exists_isStandardEtale_mvPolynomialstatement and proof · cited by 1
- Algebra.IsStandardEtale.of_surjectivestatement and proof · cited by 1
- TensorProduct.toIntegralClosure_bijective_of_smoothproof · cited by 0
- mem_adjoin_map_integralClosure_of_isStandardEtalestatement and proof · cited by 0
- Algebra.IsStandardEtale.casesOnstatement and proof · cited by 0
- Algebra.IsStandardEtale.recOnstatement and proof · cited by 0