Thanks, now I realized that, to have a meaningful “limit" on a sequence of sets, such a sequence must be either increasing or decreasing (f n SUBSET f (SUC n), or the other direction), then the “limit” is either BIGUNION (IMAGE f univ(:num)) or BIGINTER (IMAGE f univ(:num)).
—Chun > Il giorno 14 set 2018, alle ore 04:53, michael.norr...@data61.csiro.au ha > scritto: > > You don't just want something like > > BIGUNION (IMAGE f univ(:num)) > > ? > > Michael > > On 14/9/18, 05:02, "Chun Tian (binghe)" <binghe.l...@gmail.com> wrote: > > Hi, > > I want to express the existence of a function (f :’num -> ‘a set) such > that, whenever the number n goes to “infinite”, ``f n`` equals to a given set > ``X :’a set``. > > This looks like something in limTheory, but I have nothing to do with real > numbers here. > > Does anyone know which definition in HOL4’s existing libraries should I > look for? > > Regards, > > Chun Tian > > > >
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