English
If F carries an AlgEquivClass for R-algebras A and B, then F forms a class of R-algebra homomorphisms from A to B.
Русский
Если F обладает структурой AlgEquivClass для R-алгебр A и B, то F образует класс R-алгебровых гомоморфизмов A → B.
LaTeX
$$$\\text{AlgHomClass } F\\; R\\; A\\; B$$$
Lean4
instance (priority := 100) toAlgHomClass (F R A B : Type*) [CommSemiring R] [Semiring A] [Semiring B] [Algebra R A]
[Algebra R B] [EquivLike F A B] [h : AlgEquivClass F R A B] : AlgHomClass F R A B :=
{ h with }