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A comment on Partial functions and total functions. Parent comment
Unique pair (a, b) only implies for any a, the corresponding b is unambiguous.
There could easily be (a1, b) and (a2, b), thus not one to one, and there could easily be a b1 such that there is no corresponding A, thus not onto.
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Unique pair (a, b) only implies for any a, the corresponding b is unambiguous.
There could easily be (a1, b) and (a2, b), thus not one to one, and there could easily be a b1 such that there is no corresponding A, thus not onto.