instAlgebraSubtypeMemSubalgebraAdjoinAdjoin

English

The natural inclusion induces a Fraction Ring structure between the adjoin subalgebra and its IntermediateField adjoin counterpart.

Русский

Естественное включение порождает структуру дробносной кольцевости между подалгеброй Adjoin и соответствующим IntermediateField Adjoin.

LaTeX

$$IsFractionRing (Algebra.adjoin F S) (adjoin F S)$$

Lean4

/-- `IntermediateField.adjoin` as an algebra over `Algebra.adjoin`. -/
scoped instance : Algebra (Algebra.adjoin F S) (adjoin F S) :=
  (Subalgebra.inclusion <| algebra_adjoin_le_adjoin F S).toAlgebra

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