isSepClosed_iff_isPurelyInseparable_algebraicClosure

∀ (F : Type u) (E : Type v) [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] [IsAlgClosure F E],
  IsSepClosed F ↔ IsPurelyInseparable F E

If E is an algebraic closure of F, then F is separably closed if and only if E / F is purely inseparable.

Defined in: Mathlib.FieldTheory.PurelyInseparable.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field Field Algebra IsAlgClosure

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