You are very correct. I was caught up in writing what the problem stated rather than just reading it as it is.
I was trying to define two variables. But the way you guys explained it, I see now that I can just use the FTA to define 'a' and then imply that if 'a' is square free then all the...
I was actually just playing with that. My professor keeps telling me that I just need to work slowly, I'm seeing it now. I get stuck on the little details and that completely throws me of for example:
How would you describe the integer that is squared. Should I use ∀ or ∃ for variable b in...
Homework Statement
An integer is called a square-free if it is not divisible by the square of any integer greater than 1: Show that:
Homework Equations
a is square free if and only if a = (+/-)P1*P2*P3*Pr where Pr are distinct primes.
The Attempt at a Solution
So,
a is in Z...