Yes, I found and read it. It seemed sound enough for this crowd, considering the number of anti-math responses it received. The proof of (2) is technically incomplete (it doesn't actually show an "if and only if" relationship), but it followed clearly.

In any case, I now understand. Also, my thanks for your responses is sincere. I'd much rather be corrected and learn something than keep giving misinformation and sounding like a jackass.