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  • ...eq X</math> implies <math>|X|=|Y|</math> by the Cantor-Schroeder-Bernstein theorem, and <math>|X|\leq|Y|</math> and <math>|Y|\leq|Z|</math> implies <math>|X|\
    1 KB (228 words) - 00:01, 17 November 2019
  • An alternative proof uses [[Cantor's Theorem]], which says that for all sets <math>S</math>, we have <math>|S|<|\mathcal
    2 KB (403 words) - 19:53, 13 October 2019
  • ...ing infinite sets. This theorem is called the [[Cantor-Bernstein-Schröder theorem]] and was proven by [[Georg Cantor]], [[Felix Bernstein]], and [[Ernst Schr
    11 KB (2,019 words) - 16:20, 7 July 2024
  • Now let's say that the theorem stated above is true or n=k. We shall prove it for k+1.
    4 KB (757 words) - 10:44, 8 March 2018
  • ...r-Bernstein Theorem''' (sometimes called the '''Cantor-Schroeder-Bernstein Theorem''') is a result from [[set theory]], named for Ernst Schr&ouml;der and Feli More specifically, the theorem states that if <math>A</math> and <math>B</math> are [[set]]s, and there ar
    4 KB (805 words) - 12:09, 20 February 2024