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[mizar] Looking for co-author for ordinal article



Hello there dear MIZAR enthusiasts!

I'm currently working on the article ORDINAL7 as a continuation of late Bancerek's ORDINAL5. Basically I'm defining a functor for the Cantor-normal-form of a given ordinal and then the "natural" addition of ordinals via the components of their Cantor-normal-forms + a few properties. I'm currently at about 1800 lines and I'm looking for a co-author.

While proving the uniqueness of the CNF of an ordinal I got stuck and it seems like 1) I can't prove it with what the MML provides and 2) I'm not really good at transfinite induction. My knowledge of ordinals is self-taught and I could really use some expert, mainly to finish/fix the uniqueness proof. While we're at it, we could also add some basic ordinal theorems the MML seems to lack if you are interested, for example the additive closure "for a, b, c st a in exp(omega,c) & b in exp(omega,c) holds a +^ b in exp(omega,c)", the multiplicative closure, that multiplication of two ordinals is greater than their sum most of the time and the same for exponentation/multiplication.

If you are interested, please contact me under skoch02@students.uni-mainz.de .


Best regards
Sebastian Koch