Page "Erdős–Ko–Rado theorem" Paragraph 4

According to the theorem was proved in 1938, but was not published until 1961 in an apparently more general form.

The subsets in question were only required to be size at most, and with the additional requirement that no subset be contained in any other.

This statement is not actually more general: any subset that has size less than can be increased to size to make the above statement apply.