
macros



No, it is not correct.

\newcommand defines a new command, and makes an error if it is already defined.

\renewcommand redefines a predefined command, and makes an error if it is not yet defined.

\providecommand defines a new command if it isn't already defined.

If you want to define a command whether it is new or predefined, you can use \def or

\providecommand\foo{}
\renewcommand\foo{...}