[Agda] Question about the meaning of 'abstract'

[Andreas Abel]

If you have an abstract definition

   abstract
     lhs = rhs

is it ok with the meaning of `abstract' that

   lhs == rhs

holds propositionally outside the abstract block.  Agda currently says 
yes, but would you agree with Agda?

   abstract

     T : Set -> Set
     T A = A

     see-through : ∀ {A} → T A ≡ A
     see-through = refl

   opaque : ∀ {A} → T A ≡ A
   opaque = see-through

Cheers,
Andreas

-- 
Andreas Abel  <><      Du bist der geliebte Mensch.

Theoretical Computer Science, University of Munich
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andreas.abel at ifi.lmu.de
http://www2.tcs.ifi.lmu.de/~abel/