English
The IsFractionRing structure persists along the subtype mem of Algebra.adjoin F S and IntermediateField.adjoin F S.
Русский
Структура IsFractionRing сохраняется при ограничении на подпредикат Algebra.adjoin F S и IntermediateField.adjoin F S.
LaTeX
$$IsFractionRing (Subtype fun x => x∈ Algebra.adjoin F S) (Subtype fun x => x∈ IntermediateField.adjoin F S)$$
Lean4
scoped instance (X) [MulAction E X] : IsScalarTower (Algebra.adjoin F S) (adjoin F S) X :=
Subalgebra.inclusion.isScalarTower_right (algebra_adjoin_le_adjoin F S) _
