Let's say that a is an ordinal and it's cantor normal form is:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] a = {\omega^{\beta_1}}c_1 + {\omega^{\beta_2}}c_2 + ... [/tex]

I read that

[tex] a \omega = {\omega^{\beta_1+1}} [/tex]

But I couldn't find a proof anywhere.

Can someone give me a source or point me in the right direction so that I can prove it myself?

Thanks.

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# Cantor normal form multiplication

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