Theorems · Theorem · field theory
Algebra.FormallyEtale.iff_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.FormallyEtale K A ↔ Algebra.FormallyUnramified K A- Defined in
- Mathlib.RingTheory.Etale.Field
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
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
- Algebra.FormallyUnramifiedstatement and proof · cited by 75
- Algebra.EssFiniteTypestatement and proof · cited by 68
- Algebra.FormallyEtalestatement and proof · cited by 37
- Algebra.FormallyEtale.of_formallyUnramified_of_fieldproof · cited by 1
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