Technical Lean evidence record
Checked Artifact: Basel Problem (mathlib)
Proof Atlas collected build, no-sorry, axiom, and clean-source evidence directly from the pinned upstream declaration.
ProofAtlas record
What has been checked
These states distinguish upstream identity, local reproduction, review, and Atlas acceptance. This page is part of the public, read-only Mathlib landmark collection.
Mechanical evidence
- Declaration checked
hasSum_zeta_two- Module
Mathlib.NumberTheory.ZetaValues- Source file checked
Mathlib/NumberTheory/ZetaValues.lean- Package commit
5e932f97dd25535344f80f9dd8da3aab83df0fe6- Build
- passed · transcript retained
- Unfinished proof steps
- None found by the recorded no-sorry scan
- Axiom closure
- Classical.choice, Quot.sound, propext
- Clean collection provenance
- Recorded
Evidence boundary
This page presents Mathlib's real HasSum statement for n ↦ 1/(n:ℝ)^2 with value π^2/6. Its natural-number indexing includes n = 0, whose term is zero under Lean's totalized real division, so it represents the usual series over positive integers. The selected declaration is only the exponent-two specialization, not a generic theorem about all zeta values.
This checker record is evidence for the exact formal statement only. It does not establish novelty, transfer a historical acceptance decision, or authorize publication.