[isabelle] Reading a proof

[John Munroe]

Hi,

Suppose I have the following:

axiomatization
f :: "nat => nat"
where ax: "f 0 = 0"

lemma "f 0 = 0 | f 0 = 1"
using ax
apply auto
done

Clearly, auto finds a proof because the first disjunct can be
inferred. I'm trying to dig into the proof and see which disjunct is
actually proved by auto (or simp, when appropriate). I've tried
switching on 'Full Proof' from the Isabelle menu in PG and sticking
'full_prf' after 'apply auto', but I get an error saying
"reconstruct_proof: minimal proof object'. Is there a way to see which
disjunct is proved in either Isar or ML level? Could one see which
disjunct is proved by looking at the proof term? How to retrieve the
proof term?

Any help will be appreciated. Thanks.

John

[Makarius]

Post by John Munroe
axiomatization
f :: "nat => nat"
where ax: "f 0 = 0"
lemma "f 0 = 0 | f 0 = 1"
using ax
apply auto
done
Clearly, auto finds a proof because the first disjunct can be
inferred. I'm trying to dig into the proof and see which disjunct is
actually proved by auto (or simp, when appropriate). I've tried
switching on 'Full Proof' from the Isabelle menu in PG and sticking
'full_prf' after 'apply auto', but I get an error saying
"reconstruct_proof: minimal proof object'. Is there a way to see which
disjunct is proved in either Isar or ML level? Could one see which
disjunct is proved by looking at the proof term? How to retrieve the
proof term?

For full proofs the basic HOL image needs to provide them already *and*
they need to be enabled for your own session.

For some years we used to have HOL with proof terms by default, but it
became to huge. You need to build your own image, e.g. like this:

Isabelle2011/build -m HOL-Proofs

This logic image then needs to be selected in PG when starting up.


Makarius

[John Munroe]

For full proofs the basic HOL image needs to provide them already *and* they
need to be enabled for your own session.
For some years we used to have HOL with proof terms by default, but it
 Isabelle2011/build -m HOL-Proofs
This logic image then needs to be selected in PG when starting up.

Thanks. I can start it up with the HOL-Proofs image, but I can't seem
to import RealVector, Real, etc. It says that "Could not find file
"RealVector.thy". Can one use the reals with the HOL-Proofs image?

Thanks

John

       Makarius

[Makarius]

Post by John Munroe

For full proofs the basic HOL image needs to provide them already *and* they
need to be enabled for your own session.
For some years we used to have HOL with proof terms by default, but it
 Isabelle2011/build -m HOL-Proofs
This logic image then needs to be selected in PG when starting up.

Thanks. I can start it up with the HOL-Proofs image, but I can't seem
to import RealVector, Real, etc. It says that "Could not find file
"RealVector.thy". Can one use the reals with the HOL-Proofs image?

The HOL-Proofs target in the IsaMakefile merely uses the content of the
HOL-Main session, without type real and complex.

The include the latter you can rebuild the image by imitating the
IsaMakefile entry for it:

cd Isabelle2011/src/HOL
isabelle usedir -b -g true -p 2 -q 0 Pure HOL-Proofs


Makarius