Alphabeta MathFinite Groupoid Gauging and Gluing — Examples
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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.
1 · Prerequisites
2 · Logical flowchart
3 · Items
Example
The normalized sum on a one-object finite groupoid
Example
A nontrivial cocycle weight on the finite two-element gauge groupoid
Example
The homotopy-pullback gluing factor for the two-element group
Example
A point retains the second gauge stabilizer
Example
Split two-group interval gluing with a nontrivial action
Example