Expose the vacuous answer in Erdős 332

[DomTheDeveloper]

Result

The literal declaration asks for an unrestricted predicate on sets of naturals that is sufficient for bounded gaps in D_A A.

Choosing the predicate to be constantly False makes the implication vacuous:

∃ condition : Set ℕ → Prop,
  condition A → HasBoundedGaps (D_A A)

Verification

Focused audit run 30209689071 passed every gate:

• standard copyright check;
• source scan rejecting proof holes and trust escapes;
• exact module compilation under the pinned Lean toolchain;
• theorem axiom audit with no sorryAx or compiler-trust dependency.

Qualification

This is a specification defect, not a meaningful solution of Erdős Problem 332. A corrected formalization must constrain what counts as an acceptable sufficient condition.

This remains a draft pending canonical statement repair.

[github-actions]

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