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    $\begingroup$ The proof in the paper is Doyle and Conway’s, but the theorem is due to Lindenbaum and Tarski (unless you believe Bernstein). $\endgroup$ Commented Apr 12, 2020 at 21:20
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    $\begingroup$ @Todd Tarski talks about it. Several of their results were written decades after the fact, because the war got in the way of publication. $\endgroup$ Commented Apr 13, 2020 at 2:54
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    $\begingroup$ @Andrés: And in the way of Lindenbaum's life, which probably hindered publication even further. $\endgroup$
    – Asaf Karagila
    Commented Apr 13, 2020 at 6:59
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    $\begingroup$ @ToddTrimble While the original Lindenbaum’s proof claimed in the Lindenbaum and Tarski 1926 paper is only known from hearsay, Tarski undeniably published a proof of the result in 1949. $\endgroup$ Commented Apr 13, 2020 at 7:49
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    $\begingroup$ The Lindenbaum–Tarski cancellation theorem was for any positive integer $n$, not just $n=3$. $\endgroup$
    – bof
    Commented Apr 13, 2020 at 23:00