isSepClosure — Mathlib

English

Same as above, multiple articulation points for IsSepClosed in closure context.

Русский

То же самое в контексте IsSepClosed для разделимого замыкания.

LaTeX

$$IsSepClosed sepcap: separableClosure_eq_bot_iff$$

Lean4

/-- If `E` is separably closed, then the separable closure of `F` in `E` is an absolute
separable closure of `F`. -/
instance isSepClosure [IsSepClosed E] : IsSepClosure F (separableClosure F E) :=
  ⟨(IsSepClosed.separableClosure_eq_bot_iff _ E).mp (separableClosure.separableClosure_eq_bot F E), isSeparable F E⟩

Похожие утверждения