Near-critical pair inequality: $32\sum_{W\in\binom V{k-1}}D(W)\ge n\binom N{k-1}$ (Erdős 624)

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Near-critical pair inequality: $32\sum_{W\in\binom V{k-1}}D(W)\ge n\binom N{k-1}$ (Erdős 624) · Prove2Me