ContainsOnly
ContainsOnly[list1, list2] yields True if list1 contains only elements that appear in list2.
ContainsOnly[list2] is an operator form that yields True when the object to which it is applied contains only elements that appear in list2.
Examples
Check if a list contains only specified elements:
ContainsOnly[{a, b, a}, {a, b, c}]
(* True *)ContainsOnly[{a, b, d}, {a, b, c}]
(* False *)Please visit the official Wolfram Language Reference for more details.