ExampleConstruction: Literature-sourcedVerification: AI-generatedPipeline-generatedprecheck passjudge pass (gpt-5.6-terra)audited 2026-09-06

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.

PSL(2,7) and a low-rank family entry

$PSL (2, 7)$ is a sourced Lie-type entry under the table's low-rank convention.

Given: Use Smith's Lie-type family table cited above.

[L1]

Smith's table places $PSL (2, 7)$ in the projective special linear family under its stated low-rank conventions.

technique · direct

1.1

In that table $PSL (2, 7)$ occurs in the projective special linear family, with the source's stated low-rank naming conventions.

L1given

2.1

This is precisely the claimed table-level Lie-type example; no structural construction is being inferred.

step 1.1∎

Used by

Nothing in the library uses this result yet.

Nothing. This result depends on no other item in the library.