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CentralGroupoids: Implement Knuth's A2 #309

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Oct 5, 2024
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@zaklogician zaklogician commented Oct 5, 2024

Progresses #266 by giving a streamlined construction of the central groupoid A2 and proves it isomorphic to the explicitly given 9x9 multiplication table.

This settles a bunch of anti-implications of the form 168=>X, and resolves 190 previously unknown anti-implications in total.

Construction based on the article D. E. Knuth, Notes on central groupoids, Journal of Combinatorial Theory, Volume 8, Issue 4, 1970

Adds Knuth's central groupoid A2 via both an explicit construction and
a direct 9x9 multiplication table.

The two presentations are proved isomorphic.

Progresses teorth#266, and resolves an additional 190 unknown implications.
@teorth teorth merged commit 9c2302a into teorth:main Oct 5, 2024
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