[Agda] convertibility of implicit and explicit Pi-types

Thorsten Altenkirch Thorsten.Altenkirch at nottingham.ac.uk
Thu May 21 17:25:41 CEST 2020


Why are implicit and explicit Pi-types not convertible?

eq : ({_ : Set} → Set) ≡ (Set → Set)
eq = {!refl!}

{_ : Set} → Set != Set → Set because one is an implicit function
type and the other is an explicit function type
when checking that the expression refl has type
({_ : Set} → Set) ≡ (Set → Set)



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