write code in R for following Project$$s description without using any libraries :

This project is about analyzing a function definition. More precisely, it is about taking a function$$s definition and returning a data frame with two columns. The first one contains all symbols used in the function$$s definition, and the second one has either the environment$$s name containing the definition of the symbol or a description of the symbol$$s type, e$.$g$.,$ locally defined, given as argument, etc.

Technically, you must define a function listSymbols$(),$ taking a single argument f and returning a data frame. It is assumed that the function f is a closure $($not a builtin, as those are compiled functions and we cannot see their code from the level of pure R language$).$ The following examples present the particular functionalities of the required function.