On 12/10/17 13:34, Chun Tian wrote: > My structure can contain (‘a ordinals) as part of it, and I have a function, > given any ordinal N, for all n < N, f(n) is a different value of my structure > (which contains ordinal too). Its cardinality must be very huge, and that’s > the only thing I know.
Hello. Sorry, I do not know about that formalization of ordinals in HOL4. I will take a look at the papers you mentioned sometime. It occurs to me that a possible approach is to shift the burden of proving cardinality conditions to the “user”. That is, to prepend your theorems with the hypothesis that there exists a suitable universe containing sets of the cardinalities you need. -- Do not eat animals; respect them as you respect people. https://duckduckgo.com/?q=how+to+(become+OR+eat)+vegan
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