1.There exists an injection from A to B ⇔ A ≤ B(adsbygoogle = window.adsbygoogle || []).push({});

2.There exists an injection from B to A ⇔ B ≤ A

3.If A ≤ B and B ≤ A, then A = B

Does this prove the Cantor Bernstein theorem? Which says that if 1 and 2 then there exists a Bijection between A and B (A = B)

And if it does, why is there a different, longer proof for it?

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# Are the following 3 statements true and does the cantor-bernstein theorem follow

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