2025/02/26

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2025-02-26 18:53:00 +0100acidjnk_new(~acidjnk@p200300d6e7283f80fcc6edffa39079b3.dip0.t-ipconnect.de)
2025-02-26 18:52:24 +0100acidjnk_new(~acidjnk@p200300d6e7283f8040a776c2da6f4573.dip0.t-ipconnect.de) (Ping timeout: 272 seconds)
2025-02-26 18:48:57 +0100zungi(~tory@user/andrewchawk) andrewchawk
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2025-02-26 17:35:14 +0100acidjnk_new(~acidjnk@p200300d6e7283f8040a776c2da6f4573.dip0.t-ipconnect.de) acidjnk
2025-02-26 17:35:08 +0100alfiee(~alfiee@user/alfiee) (Ping timeout: 272 seconds)
2025-02-26 17:33:23 +0100tomsmedingwould prefer a symbol other than `->' for a partial function
2025-02-26 17:32:43 +0100 <ski> and then you meant to claim that the partial function `g : Y -> X' was total on this subset of `Y' (which can be written `Img(f)', or `f[X]', or `exists_f X')
2025-02-26 17:32:42 +0100jespada(~jespada@2800:a4:2358:c700:f051:395a:5b5:8278) (Ping timeout: 246 seconds)
2025-02-26 17:31:39 +0100 <cheater> ok, yeah
2025-02-26 17:31:07 +0100 <ski> but presumably you didn't mean it like that, and so you likely meant to say "range" or "image", instead of "codomain". the range of `f' (or the image of `f' (on `X')) is the subset of the codomain `Y', that is actually "hit" by `f', the subset of values that you can actually obtain as outputs
2025-02-26 17:30:42 +0100acidjnk_new(~acidjnk@p200300d6e7283f80c89649a85ed7ab43.dip0.t-ipconnect.de) (Ping timeout: 272 seconds)
2025-02-26 17:30:33 +0100alfiee(~alfiee@user/alfiee) alfiee
2025-02-26 17:29:38 +0100 <ski> so, claiming that `g : Y -> X' is total on a set that contains the codomain of `f' means that `g' is total on a set which contains `Y'. iow, `g' is just a total function, no need to complicate the phrasing
2025-02-26 17:29:12 +0100lortabac(~lortabac@2a01:e0a:541:b8f0:55ab:e185:7f81:54a4) (Quit: WeeChat 4.5.1)
2025-02-26 17:28:44 +0100 <ski> if you say `f : X -> Y', then `Y' is the codomain of `f'
2025-02-26 17:28:06 +0100 <cheater> huh?
2025-02-26 17:27:36 +0100 <ski> cheater : "they are total on sets that contain each other's codomains" -- no. `Y' *is* the codomain of `f', and `X' *is* the codomain of `g'. doesn't matter whether every element of those sets are "hit" by the respective functions
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