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Timeline for Is a function needed here?

Current License: CC BY-SA 4.0

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Apr 17, 2021 at 18:18 history edited Ivan Feshchenko CC BY-SA 4.0
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Apr 14, 2021 at 22:43 vote accept Ivan Feshchenko
Apr 9, 2021 at 21:45 history edited Ivan Feshchenko CC BY-SA 4.0
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Apr 8, 2021 at 0:36 answer added Dmitri Pavlov timeline score: 5
Apr 8, 2021 at 0:25 comment added Alec Rhea @DmitriPavlov Would you mind posting your comment as an answer to close out the question?
Apr 7, 2021 at 22:57 comment added Dmitri Pavlov The answers are as follows: these arguments are correct, the indicated function is not needed. Indeed, your argument might as well prove that for all H1,…,Hn, H such that c_F(H1,…,Hn)⩽c, you have ∥Pn⋯P2P1−P0∥⩽g_n(c). Quantifying over a collection of sets is perfectly legitimate even if this collection of sets forms a proper class. There is no need to mention A_n(c) at all, it only creates further confusion.
Apr 7, 2021 at 22:03 review Close votes
Apr 14, 2021 at 4:59
Apr 7, 2021 at 21:53 comment added LSpice Also, a TeX note: please do not use repeated periods to simulate dots; that's what the various \dots commands are for. Compare the spacing in $H_1 \cap H_2 \cap \dotsb \cap H_n$ H_1 \cap H_2 \cap \dotsb \cap H_n to that in $H_1 \cap H_2 \cap ... \cap H_n$ H_1 \cap H_2 \cap ... \cap H_n. I have edited accordingly.
Apr 7, 2021 at 21:52 history edited LSpice CC BY-SA 4.0
`\dots`
Apr 7, 2021 at 21:47 comment added LSpice As in all your questions, you do not need the axiom of choice to choose one element from a non-empty class; that's what non-empty means. You only need AC to make many choices simultaneously. See, for example, mathoverflow.net/questions/387353/… .
Apr 7, 2021 at 21:41 history asked Ivan Feshchenko CC BY-SA 4.0