The variable `t` in your goal cannot be generalised, for the same reason
that you can't generalise variables that appear free in the assumptions of
a theorem.

I think the goalstack you showed is unproveable. But it looks like you
probably did an induction without using a general enough induction
hypothesis.
Perhaps show us your initial goal. The answer to "How can I apply GEN to
the assumption 0?" might be "generalise your induction hypothesis".

On Sat, Oct 19, 2013 at 11:53 AM, Domenico D. D. Masini <
domenico.mas...@gmail.com> wrote:

> Hello,
>
> I'm trying to learn hol, and one thing is not clear to me is how to mix
> forward proof in a goal directed proof while being in an active goal
> package session.
>
> One thing I was trying is to complete a proof with this current goalstack:
>
> ?v. R (t',v) /\ R (u,v)
>     ------------------------------------
>       0.  !u. R (t,u) ==> ?v. R (t,v) /\ R (u,v)
>       1.  R (t',u)
>
> How can I apply GEN to the assumption 0 and then MP on the new 0 and 1?
>
> Thanks for any suggestion.
>
> Kind Regards,
> Domenico
>
>
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