DefinitionDefinition: Literature-sourcedProof: Not applicablejudge pass (deepseek-v4-pro + claude-sonnet-5)audited 2026-08-17

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.

Maximal proper subgroups

Definition

A subgroup $M < G$ is maximal proper when there is no subgroup $H$ with $M < H < G$ . Equivalently, every subgroup containing $M$ is either $M$ or $G$ . The word maximal refers to inclusion among proper subgroups, not to cardinality.

Maximal proper subgroups

Definition

Depends on

Dependency tree · 2 levels

Sources