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by j-pb 3506 days ago
Yeah I think your right, in this context I saw the case of [ A -> B ] as a function from coimage A to image B which are all bijective. But it is meant as the more standard domain A to codomain B.

His natural language description is somewhat lacking in that aspect

> I had already explained that [1..N ⟶ 1..N] is the set of functions that map the set 1..N of integers from 1 through N into itself,

1 comments

Well, he did say "into itself", not "onto itself".