Alphabeta Math
RemarkRemark: Literature-sourcedProof: Not suppliedPipeline-generatedaudited 2026-09-06‡ sources checked 2026-09-06‡ not proved here
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.

‡ Recorded, not proved here. This statement is included so the library can refer to it honestly, with a citation to the literature. It is not proved anywhere in this library: the track that would prove it has not been developed here yet.

Classification of finite simple groups

Every finite simple group is cyclic of prime order, alternating of degree at least five, of Lie type, or one of 26 sporadics, with standard low-rank identifications.

Used by

Dependency tree · 0 levels

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

Sources