[Agda] original Nat

[Ulf Norell]

Natural number operations _are_ implemented in Agda, and you'll find the
definitions in
Agda.Builtin.Nat. The way that they are built in is that when called on
closed terms (for
instance 101 + 52), the type checker evaluates that using Haskell integer
arithmetic rather
than the Agda definitions.

You can read more here:
http://agda.readthedocs.io/en/latest/language/built-ins.html#natural-numbers

Agda.Builtin.Nat is shipped with Agda. You can find its location either by
middle-clicking
the module name in Emacs, or by calling Agda from the command line with
`-v2`:

Bla.agda:

  import Agda.Builtin.Nat

$ agda -v2 Bla.agda

Checking Bla (Bla.agda).

  Loading  Agda.Builtin.Bool
(/SOME_PATH/Agda-2.5.4/lib/prim/Agda/Builtin/Bool.agdai).

 Loading  Agda.Builtin.Nat
(/SOME_PATH/Agda-2.5.4/lib/prim/Agda/Builtin/Nat.agdai).

Finished Bla.

/ Ulf

On Tue, Dec 19, 2017 at 7:43 PM, Sergei Meshveliani <mechvel at botik.ru>
wrote:

> Please, what is a regular way to switch between the built-in Nat
> arithmetic and the original one (implemented in Agda) ?
>
> Data.Nat.Base  of  lib-0.14  contains
>
>  open import Agda.Builtin.Nat public using ( zero; suc; _+_; _*_ )
>                                      renaming ( Nat to ℕ; _-_ to _∸_ )
>
> But I do not find the module  Agda.Builtin.Nat.
>
> I need to use the Nat arithmetic programmed in Agda
> (ℕ; _+_, _*_, _∸_, _≤_ ...) as in early days.
>
> Thanks,
>
> ------
> Sergei
>
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