On 4/28/24 06:29, 'Thierry Arnoux' via Metamath wrote:

Maybe I would try as follows, using the seq operator instead of recs, and the definition as an iterated 1-ary function <https://en.wikipedia.org/wiki/Ackermann_function#Definition:_as_iterated_1-ary_function>:

I didn't try to check every step, but this looks about right.

As for the larger question of how to formalize recursive definitions, generally via seq somehow. It can be a bit hard to get your head around how seq is being used in a particular proof, but using seq is almost always easier than trying to use recs or rec directly.

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