hello i have a problem with exercise the problem is follow:
Consider the set $Q$ of integers defined as follows:
$1 ∈ Q$
If $b ∈ Q$, then $2b-1 ∈ Q$
If $b ∈ Q$, then $2b +1 ∈ Q$
What is the total $Q$? Prove your answer carefully.
I have found a solution but I have not shown with any particular methodology. Is there concrete evidence; thank you very much