[Agda] instance arguments and negation.
Apostolis Xekoukoulotakis
apostolis.xekoukoulotakis at gmail.com
Fri Nov 3 11:52:04 CET 2017
I made a negation that takes an instance argument. This unfortunately stops
unification from taking place.
In hole 0 , the type is ⊥.
in hole 1 , the type is ¬ B .a
Is there a way to force agda to have (¬ᵢ B .a) in hole 0 so that
unification deduces a?
```
data ⊥ : Set where
infix 3 ¬ᵢ_
¬ᵢ_ : ∀ {ℓ} → Set ℓ → Set ℓ
¬ᵢ P = {{p : P}} → ⊥
infix 3 ¬_
¬_ : ∀ {ℓ} → Set ℓ → Set ℓ
¬ P = (p : P) → ⊥
data A : Set where
a1 : A
a2 : A
data B : A → Set where
b1 : B a1
b2 : B a2
gun : ∀{a} → ¬ᵢ B a
gun = {!!}
fun : ∀{a} → ¬ᵢ B a
fun = gun
gun2 : ∀{a} → ¬ B a
gun2 = {!!}
fun2 : ∀{a} → ¬ B a
fun2 = gun2
```
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