[Agda] `let' in function signature
Sergei Meshveliani
mechvel at botik.ru
Sun Dec 24 20:58:43 CET 2017
Please, what is wrong in the below program?
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open import Relation.Binary.PropositionalEquality using (_≡_)
open import Data.Nat using (ℕ; suc; pred; _*_; _^_)
postulate anything : ∀ {a} {A : Set a} → A
postulate pSum : ℕ → ℕ → ℕ
pSum-eq : (q n : ℕ) → let q' = suc n
in
(pSum q' n) * q ≡ pred (q' ^ (suc n)) -- (1)
pSum-eq 1 0 = goal
where
postulate goal : (pSum 2 0) * 1 ≡ pred (2 ^ 1)
pSum-eq _ _ = anything
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Agda 2.5.3 reports
2 != 1 of type ℕ
when checking that the expression goal has type
pSum 1 ℕ.zero * 1 ≡ pred (1 ^ 1)
After replacing q' with (suc q) in the line (1), the type check
succeeds.
Is this a bug?
Regards,
------
Sergei
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