Alphabeta Math
DefinitionDefinition: AI-adaptedProof: Not applicableaudited 2026-08-02
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.

Pi as twice the smallest positive zero of cosine

Definition

Let γ be the unique smallest positive zero of cosine supplied by Cosine has a smallest positive zero, lying strictly between zero and two. Define π:=2γ.

Thus π>0 and π/2=γ.

Depends on

Dependency tree · 2 levels

Sources