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Theorems · Theorem · field theory

IsSepClosure.separable

∀ {k : Type u} {inst : Field k} {K : Type v} {inst_1 : Field K} {inst_2 : Algebra k K} [self : IsSepClosure k K],
  Algebra.IsSeparable k K
Defined in
Mathlib.FieldTheory.IsSepClosed
Cited by
2 results in Mathlib
Foundations
Depth 46 from the axioms · uses propext, Quot.sound
Assumes
IsSepClosure
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

isSepClosure_iff · cited by 0isSepClosure_iffperfectField_iff_isSeparable_algebraicClosure · cited by 0perfectField_iff_isSepara…Algebra · cited by 11388AlgebraField · cited by 7404FieldAlgebra.IsSeparable · cited by 210Algebra.IsSeparableIsSepClosure · cited by 3IsSepClosureIsSepClosure.separableCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.