So, the question I got was:

∀x,(x =/= 0) → (∃!y, xy = 1)

I'm really confused about what the "∃!y" means in this context, because the way I'm interpreting the question is:

"For all x (when x is not equal to 0), there does not exist a y such that x*y = 1." ???

But the answer is:
T (given x =/= 0, y = 1/x is the only example)

What am I not getting?

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