[Agda] Help at propositional equality proof that contains subst.

Apostolis Xekoukoulotakis apostolis.xekoukoulotakis at gmail.com
Wed May 3 09:24:59 CEST 2017


Hello,

I have something like this :

```
postulate
  B : Set
  A : B → Set
  big_expression : {b : B} → (a : A b) → B
  h : {b : B} → (a : A b) → A (big_expression a)
  eq : {b : B} → (a : A b) → (big_expression a) ≡ b

f : {b : B} → (a : A b) → subst A (eq a) (h a) ≡ a
f = {!!}

```

h is defined inductively, thus it would be very easy to prove this if I did
not have subst in the equality.

Any advice on how to proceed?

I can't find a way to remove subst.
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