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Remark about the theory: if one considers that the square root is always
nonnegative (by definition in Coq), then Lemma Sqrt_positive has an
extraneous hypothesis.

Note that the files are compiled with: coqc -R . '' real/toto.v

This is just a proof of concept, since most definitions should just be
notations for the realization to be user-friendly. Moreover, the format of
the file will presumably evolve, if only for some information to properly
update it when the theories change.

Remark about the theory : Lemma mul_assoc_div has an extraneous hypothesis.
Indeed, as long as inverse is a total function, this lemma is an immediate
consequence of multiplication associativity.

How to use it:

    why3 --realize -D drivers/coq-realize.drv -T real.Real -o .

        produces Real.v in the current directory

    why3 --realize -D drivers/coq-realize.drv -T real.Real

        produces real/Real.v in the loadpath near real.why
        (the directory "real" must exist)

If a realization file is already there, it is passed to
the printer in order to preserve the proofs.

Instead of -D <driver_file>, you can use -P <prover>,
if that prover uses a corresponding driver. However,
the prover itself is not used.

You can only realize theories from the loadpath.

At the moment, coq-realize.drv is the only driver
capable to realize theories in some sensible way.
For any other driver, the results may be funny.

Realization of WhyML modules is not possible so far.

Realization may break if you directories and filenames
contain non-alphanumeric symbols.

The whole thing is in very preliminary stage.
Use with caution.

also add Env.get_loadpath to use for Coq realisation

(standalone executable why3realize)

For built-in and local theories the prefix is empty.