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Let be the maximal size of a family of subsets of such that no set in this family is the union of other members of the family. Is it true that there is a constant such that
Source: erdosproblems.com/1023
An accepted solution exists. The statement is true.
The site labels the problem SOLVED (LEAN) and credits Hunter's observation in its thread that the solution of Problem 447 settles it: the answer is yes, , so .