instIsAlgebraicSubtypeMemSubalgebraAdjoinAdjoin

English

The IsAlgebraic property is preserved along the isomorphism of subalgebras in the Adjoin context.

Русский

Свойство IsAlgebraic сохраняется вдоль изоморфизма подалгебр в контексте Adjoin.

LaTeX

$$Algebra.IsAlgebraic (Subtype fun x => SetLike.instMembership.mem (Algebra.adjoin F S) x) (Subtype fun x => SetLike.instMembership.mem (IntermediateField.adjoin F S) x)$$

Lean4

scoped instance : Algebra.IsAlgebraic (Algebra.adjoin F S) (adjoin F S) :=
  IsLocalization.isAlgebraic _ (nonZeroDivisors (Algebra.adjoin F S))

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