Alphabeta MathHow statement and proof provenance work
The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.
- Literature-sourced: the exact statement appears in a cited source; only wording and notation differ.
- AI-adapted: a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
- AI-generated: a genuinely novel statement formulated by AI, with no source for the claim itself.
These labels describe origin, not correctness: citations and verification chips remain separate evidence.
The unit-constraint redundancies are cited mathematically through EGNO
The mathematical source used on this page for the unit-constraint redundancies is EGNO: Proposition 2.2.4 is the pair of formulas proved in The left unitor of a tensor product is determined by the associator and The right unitor of a tensor product is determined by the associator, and Corollary 2.2.5 is The two unitors agree on the tensor unit.
EGNO's bibliographical notes attribute Proposition 2.2.4 to Kelly. This page therefore cites EGNO for the mathematics and Kelly only for that historical attribution. It does not claim to quote Kelly's own wording or numbering.
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Sources
- P. Etingof, S. Gelaki, D. Nikshych, and V. Ostrik, Tensor Categories, Proposition 2.2.4, Corollary 2.2.5, and bibliographical note 2.13 (standard reference, not scraped)