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[Daniel de Rauglaudre <daniel.de_rauglaudre AT inria.fr>]

Hi,

I work in a context when proofs are very relevant (hott) and I have
a problem.

When I end an assert, the type is put in the hypotheses, but not the
proof term. For example, when I write
    assert (p : 2 + 2 = 4) by reflexivity.
the line
    p : 2 + 2 = 4
is added in the hypotheses but not the contains of p.

I would like to have the proof term also, i.e.:
  p := eq_refl 4 : 2 + 2 = 4

To resolve that, for the moment, I do the proof with assert and, then,
I type "Show Proof" to get the proof term. I copy/paste it and I put it.
    set (p := eq_refl 4 : 2 + 4 = 4)

Of course my proofs are not as simple as "eq_refl 4".

Someone (thanks to him) told me to use evar:
    evar (p : 2 + 2 = 4).
Then I get
    p := ?p : 2 + 2 = 4

Ok. And now? how do I prove p immediately using tactics, to fill
my "?p"?

Thank you.

-- 
Daniel de Rauglaudre
http://pauillac.inria.fr/~ddr/