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Aug 25, 2019 at 22:31 comment added Salvo Tringali I see, many thanks for the details. The "strictly" in (a) is a mistake from my side, I'll edit the OP to fix it: Higman in his paper writes of "an infinite ascending subsequence." Edit. You posted your comment while I was editing mine (and I had to delete mine, since the edit came too late).
Aug 25, 2019 at 22:24 comment added Andreas Blass @SalvoTringali OK. Now that "strictly" is gone, my argument works even when sequences are allowed to have repetitions. But I think I'll leave my answer as it is, since the last paragraph (in parentheses) might be useful for some readers.
Aug 25, 2019 at 21:59 history answered Andreas Blass CC BY-SA 4.0