Theorems · Theorem · field theory
Algebra.FormallyUnramified.isSeparable
∀ (K : Type u_1) (L : Type u_3) [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] [Algebra.FormallyUnramified K L] [Algebra.EssFiniteType K L], Algebra.IsSeparable K L
- Defined in
- Mathlib.RingTheory.Unramified.Field
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Module.Finiteproof · cited by 1,032
- Subringproof · cited by 602
- Algebra.IsSeparablestatement · cited by 210
- Algebra.FormallyUnramifiedstatement and proof · cited by 75
- Algebra.EssFiniteTypestatement and proof · cited by 68
- separableClosureproof · cited by 55
- IntermediateField.extproof · cited by 17
- Algebra.FormallyUnramified.of_restrictScalarsproof · cited by 9
- Algebra.EssFiniteType.of_compproof · cited by 8
- Algebra.FormallyUnramified.finite_of_freeproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Algebra.FormallyUnramified.iff_isSeparableproof · cited by 2
- Algebra.FormallyEtale.iff_isSeparableproof · cited by 2