Write a function that returns True if all subsets in a list belong to a given set.
validate_subsets([[1, 2], [2, 3], [1, 3]], [1, 2, 3]) ➞ True
validate_subsets([[1, 2, 3], [2], [3], []], [1, 2, 3]) ➞ True
validate_subsets([[1, 2], [2, 3], [1, 4]], [1, 2, 3]) ➞ False
validate_subsets([[1, 2, 3, 4]], [1, 2, 3]) ➞ False