Alphabeta MathDefinitionDefinition: AI-adaptedProof: Not applicablejudge pass (gpt-5.6-terra)audited 2026-08-30
How 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.
Snake data
Definition
A piece of snake data in an abelian category means one of the following commutative diagrams.
The Mac Lane shape is a morphism of short exact sequences
The weaker Stacks shape is a commutative diagram
whose top and bottom rows are exact.
This page uses the name only for the data of the diagram and its exact rows. The connecting morphism and the snake sequence attached to such data are constructed later.