lcmineqlem.1 $e |- ( ph -> N e. NN ) $. lcmineqlem.2 $e |- ( ph -> 7 <_ N ) $. lcmineqlem $p |- ( ph -> ( 2 ^ N ) <_ ( _lcm ` ( 1 ... N ) ) ) $.
The least common multiple inequality lemma, a central result for future use.