normal — Mathlib

English

If F is a field and IsAlgClosed F holds, then F is an IsAlgClosure F F.

Русский

Если F — поле и IsAlgClosed F выполняется, то F является IsAlgClosure F F.

LaTeX

$$$\text{IsAlgClosure } F F$$$

Lean4

instance (priority := 100) normal (R K : Type*) [Field R] [Field K] [Algebra R K] [IsAlgClosure R K] : Normal R K
    where
  toIsAlgebraic := IsAlgClosure.isAlgebraic
  splits' _ := @IsAlgClosed.splits_codomain _ _ _ (IsAlgClosure.isAlgClosed R) _ _ _

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