SQL Select all rows where subset exists

Question

I'm sure there is an answer present for this question but bear with me as I'm new to SQL and am not sure how to ask the question.

I have data like this (this is shorthand purely for example). This is in a postgres db.

table1
id    value
1     111
1     112
1     113
2     111
2     112
2     116
3     111
3     122
3     123
4     126
5     123
5     125
6     111
6     112
6     116

table2
value
111
112
116

I need return the id of table1 where all values in table2 exist in the values of table1. So for this example, my query would return 2 and 6.

Is there any way to do this in SQL? Or could you possibly guide me to a data structure that would allow for me to get this result? I am able to change up the structure of either table to accommodate the ultimate need of getting this result

Thank you so much. An answer to this would be a life saver.