Theorems · Theorem · field theory
Algebra.FormallyEtale.iff_isSeparable
∀ (K : Type u_1) (L : Type u_2) [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] [Algebra.EssFiniteType K L], Algebra.FormallyEtale K L ↔ Algebra.IsSeparable K L
- Defined in
- Mathlib.RingTheory.Etale.Field
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Algebra.IsSeparablestatement and proof · cited by 210
- Algebra.EssFiniteTypestatement and proof · cited by 68
- Algebra.FormallyEtalestatement and proof · cited by 37
- Algebra.FormallyEtale.of_isSeparableproof · cited by 3
- Algebra.FormallyUnramified.isSeparableproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Algebra.FormallyEtale.iff_exists_algEquiv_prodproof · cited by 1
- Algebra.FormallyEtale.of_formallyUnramified_of_fieldproof · cited by 1