Published paper
Abstract
Selected proof-dependency source recorded for the bounded audit of arXiv:1501.01260v4.
Role in dependence graphs
Proof-critical source
Bernstein inequality and holonomic modules
This paper is included only for the following marked statement:
- Lemma 2.4.4 · arXiv:0807.1023v7, PDF p. 17Closedness of completed left ideal.
AI-generated audit
Audit summary
Not a correctness certificate. These reports do not replace expert scrutiny or formal verification.
Exact reviewed source
Frozen exact arXiv:0807.1023v7
Finite dimensional representations of W-algebras
The exact versioned arXiv PDF was frozen and inspected because publisher full text was not acquired for this review. It is a fallback, not a claimed version of record.
Open audited source ↗01Statements1 reported findingSuspected unsupported statements
Selected claim text and its focal use were checked in the frozen exact versioned source. The source proofs and antecedent citations are outside this bounded first-order shell, so no selected claim is certified merely from its locator.
Claim content and focal mappingStatement located; proof closure not independently verified
Lemma 2.4.4
arXiv:0807.1023v7, Lemma 2.4.4, PDF p. 17; Focal arXiv:1501.01260v4, Lemma 3.7 proof, PDF p. 9.
The lemma states the required adic closedness for a submodule of a finitely generated completed module. The focal proof invokes exactly that closedness for its completed left ideal; finite-generation and completion hypotheses are not independently reconstructed here. The audit verifies this statement-to-focal-role mapping only; it does not certify the source proof or any unexpanded antecedent.
Official arXiv:0807.1023v7 ↗02Proofs1 reported findingFurther proof verification needed
The selected proof route is bounded: the source's own proof dependencies have not been recursively closed in this audit.
Proof boundaryProof closure not independently verified
No recursive closure is claimed
Focal arXiv:1501.01260v4, Lemma 3.7 proof, PDF p. 9.
The completion and Artin–Rees antecedents are an explicit stopping boundary.
Frozen exact arXiv:0807.1023v7 ↗03Novelty0 reported findingsNo novelty concerns found
No non-novelty findings.