English
There is a defined CoalgHomClass instance for the type A →ₗc[R] B validating the algebraic laws.
Русский
Для типа A →ₗc[R] B определяется экземпляр CoalgHomClass, удовлетворяющий алгебраическим законам.
LaTeX
$$$\\text{instance } (A \\toₗc[R] B) : CoalgHomClass A R B$$$
Lean4
instance coalgHomClass : CoalgHomClass (A →ₗc[R] B) R A B
where
map_add := fun f => f.map_add'
map_smulₛₗ := fun f => f.map_smul'
counit_comp := fun f => f.counit_comp
map_comp_comul := fun f => f.map_comp_comul