Theorems · Theorem · field theory
Algebra.FormallyEtale.of_formallyUnramified_of_field
∀ (K : Type u_1) (A : Type u) [inst : Field K] [inst_1 : CommRing A] [inst_2 : Algebra K A] [Algebra.EssFiniteType K A] [Algebra.FormallyUnramified K A], Algebra.FormallyEtale K A
- Defined in
- Mathlib.RingTheory.Etale.Field
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- Fieldstatement and proof · cited by 7,404
- HasQuotient.Quotientproof · cited by 2,301
- AlgEquiv.symmproof · cited by 615
- IsArtinianRingproof · cited by 98
- IsReducedproof · cited by 98
- Algebra.FormallyUnramifiedstatement and proof · cited by 75
- MaximalSpectrumproof · cited by 73
- Algebra.EssFiniteTypestatement and proof · cited by 68
- AlgEquiv.restrictScalarsproof · cited by 60
- MaximalSpectrum.asIdealproof · cited by 58
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.FormallyEtale.iff_formallyUnramified_of_fieldproof · cited by 0