An almost strong relation

Let $μ$ be a strong limit singular cardinal. We prove that if $2^μ > μ^+$ then $\binom{μ^+}μ\to \binomτμ_{<{\rm cf}(μ)}$ for every ordinal $τ<μ^+$. We obtain an optimal positive relation under $2^μ= μ^+$, as after collapsing $2^μ$ to $μ^+$ this positive relation is preserved.

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