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    <title>Sheaves on Ryan Kavanagh&#39;s /dev/brain</title>
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      <title>Presheaf categories are Cartesian closed</title>
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      <pubDate>Wed, 24 Aug 2016 17:40:00 -0400</pubDate>
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      <description>\(\gdef{\Hom}{\mathsf{Hom}}\) \(\gdef{\C}{\mathbf{C}}\) \(\gdef{\hC}{\hat\C}\)&#xA;As I&amp;rsquo;ve been working through &amp;ldquo;Sheaves in Geometry and Logic&amp;rdquo;, I&amp;rsquo;ve been skimming proofs and attempting to rederive them. I normally end up with a better understanding of the material, but sometimes I get stuck. Here&amp;rsquo;s one case where I&amp;rsquo;ve gotten stuck: can anybody tell me why the counit for the exponential is universal? In particular, I can&amp;rsquo;t manage to show the uniqueness of \(\phi&amp;rsquo;\) at the end of the proof.</description>
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