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<p class="MsoNormal"><span style="font-size:11.0pt">Why are implicit and explicit Pi-types not convertible?
<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">eq : ({_ : Set} → Set) ≡ (Set → Set)<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">eq = {!refl!}<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">{_ : Set} → Set != Set → Set because one is an implicit function<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">type and the other is an explicit function type<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">when checking that the expression refl has type<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">({_ : Set} → Set) ≡ (Set → Set)<o:p></o:p></span></p>
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