[Agda] `using (DecTotalOrder)'
Serge D. Mechveliani
mechvel at botik.ru
Tue Oct 9 11:28:02 CEST 2012
Can you, please, tell how to import DecTotalOrder with `using' ?
(Agda-2.3.0.1, MAlonzo,
record DecTotalOrder ... defined in Relation.Binary of Standard
Library lib-0.6
)
---------------------------------
module OrdList where
open import Relation.Nullary using ( Dec; yes; no )
open import Relation.Binary using ( DecTotalOrder )
...
open DecTotalOrder
data OrderedList? {c l1 l2 : Level} (ord : DecTotalOrder c l1 l2) :
List $ Carrier ord -> Set $ L-suc $ max c $ max l1 l2
where
...
cons : let A = Carrier ord
in
(x y : A) -> (xs : List A) -> _<=_ ord x y ->
OrderedList? ord (y :: xs) -> OrderedList? ord (x :: y :: xs)
----------------------------------
(for this letter I replace the math symbols \<= to <=, \:: to :: ).
The checker reports
"No such module DecTotalOrder when scope checking the declaration
open DecTotalOrder
"
If I remove ``using ( DecTotalOrder )'', then it does type-check.
But for most modules M, I would like to restrict explicitly, what is
used from M.
Question 2:
how to omit here the argument ord in ``_<=_ ord x y'' ?
For it is said that dep.records + hidden agruments stands for type
classes.
Currently I do not think that it is crucial, but for curiosity.
Thank you in advance for explanation,
-------
Sergei
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