English
The inclusion of the base ring R into a topological algebra A can be realized as a continuous linear map, namely algebraMapCLM: R →L[R] A with toFun = algebraMap R A and cont = continuous_algebraMap R A.
Русский
Включение базового колецa R в топологическую алгебру A задается как непрерывное линейное отображение, namely algebraMapCLM: R →L[R] A с toFun = algebraMap R A и cont = continuous_algebraMap R A.
LaTeX
$$$\\text{algebraMapCLM : } R \\to_L[R] A$$$
Lean4
theorem algebraMapCLM_coe : ⇑(algebraMapCLM R A) = algebraMap R A :=
rfl