groupby ID in a dataframe1 then use isin function in the grouped by data frame, with another dataframe2, and output a data frame as well

Question

I have two data frames:

first one is this :

which has 3 columns (ID , Name, Salary)

and the seconed data frame is this:

which has 2 columns (ID , Name)

I want to groupby ID in the first data frame (def1) after that I want to check if this ID (isin) the other data frame (def2), if it's NOT then I want to remove it. noting that the last output I need it to be as data frame as well, which is this:

how can I do this?