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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