Each of the statements is true. For each, (a) rewrite the statement with the quantificatio...

Each of the statements is true. For each, (a) rewrite the statement with the quantification implicit as If _____, then, _____ and (b) write the first sentence of a proof (the “starting point”) and the last sentence of a proof (the “conclusion to be shown”). Note that you do not need to understand the statements in order to be able to do these exercise.

Exercise

For all integers m, if m > 1 then 0< < 1.