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AI-assisted counterexample to the abelian-envelope quotient property

Flake, Gruber and Heidersdorf report that the universal rigid monoidal category on one object has an abelian envelope without the quotient property.

Sources for this record

What was already known

A 2023 no-go theorem ruled out an envelope with the quotient property for this category; existence of an envelope was the remaining step.

What changed and why it matters

Advances the stated target relative to the recorded baseline.

The AI contribution

The paper discloses AI use in finding the results; its methodology distinguishes model-generated proof development from human simplification, checking and writing.

Limitations

Preprint; the claimed universal property and the cited no-go theorem are essential. This does not assert that every abelian envelope fails the quotient property.

Verification evidence

Evidence labels show what supports the claim. Importance rates its impact if correct.

Author claim

The original source reports this scoped result; AIProofWatch reviewed its statement, not the full proof.

Accessible artifact / proof

A research manuscript or proof artifact is publicly accessible; availability is not independent checking.

Correction and publication history