Add the category of countable groups#171
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This PR adds the category of countable groups. All properties have been decided.
Unsurprisingly, this category is a combination of Grp and Setc, and the proofs could be translated. Only the proof that there is no cogenerator is a bit more advanced (maybe there is a simpler argument).
This is one of the first PRs after the YAML transformation from #164 that introduces new data. Luckily, it turns out that the promise of that PR is true: inserting new data is much more convenient now.