Alphabeta Math
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.

A Suzuki group family entry

Example

Suzuki groups occur in the source’s nonclassical twisted row.

Facts & Assumptions

Given: Use Smith's nonclassical twisted-family row cited above.

[L1]

Smith's nonclassical twisted-family row includes the Suzuki groups among the finite simple groups of Lie type.

Verification

technique · direct
1.1

That row explicitly includes the Suzuki family among the finite simple groups of Lie type.

L1given
2.1

Hence Suzuki groups furnish the asserted named-family entry.

step 1.1

Used by

Nothing in the library uses this result yet.

Dependency tree · 0 levels

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

Sources