Can anybody help me out with solving this mathematical proof?
Prove the statement “There is no smallest rational number greater than 2” by contradiction.
Contradiction: There is a smallest rational number greater than 2.
I know the above is false because the smallest rational number greater than 2 is a fraction of a decimal 2.00…01 as it gets closer and closer to 2 (by adding more decimal places). Since you can get infinitely closer and closer to 2 there is no exact “smallest rational number”.
However, I'm not sure how to officially prove it.
Thanks in advance!