formulas: Copy the "list of elements" of data validation from one sheet to another?

On a sheet I have a column that uses the data validation of "list of elements" that allows to extend a drop-down menu and select multiple options.

Is there a way to automatically fill the same relative column on sheet two with the elements selected in the column on sheet 1?

For example, if "Dogs" is selected in Sheet1 A1, then Sheet2 A1 will automatically be filled in with "Dogs".