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- From: "Lucian M. Patcas" <lucian.patcas AT gmail.com>
- To: coq-club <coq-club AT inria.fr>
- Subject: [Coq-Club] Re: How to prove that a nonnegreal plus a posreal is a posreal?
- Date: Fri, 29 Jul 2011 17:08:59 -0400
For some reason I just didn't see the solution, but I have it figured out now:
Lemma nonnegreal_plus_posreal : forall (x : nonnegreal) (y : posreal),
0 < x + y.
Proof.
intros x y.
destruct x.
destruct y.
simpl.
fourier.
Qed.
On Fri, Jul 29, 2011 at 14:30, Lucian M. Patcas <lucian.patcas AT gmail.com> wrote:
Hello,
I don't know what to do about the records in the goal. Any suggestions?
Lemma nonnegreal_plus_posreal : forall (x : nonnegreal) (y : posreal),
0 < x + y.
Proof.
intros x y.
destruct x.
destruct y.
1 subgoal
nonneg : R
cond_nonneg : 0 <= nonneg
pos : R
cond_pos : 0 < pos
============================
0 <=
{| nonneg := nonneg; cond_nonneg := cond_nonneg |} +
{| pos := pos; cond_pos := cond_pos |}
Thanks,
Lucian
- [Coq-Club] How to prove that a nonnegreal plus a posreal is a posreal?, Lucian M. Patcas
- [Coq-Club] Re: How to prove that a nonnegreal plus a posreal is a posreal?, Lucian M. Patcas
- Re: [Coq-Club] Re: How to prove that a nonnegreal plus a posreal is a posreal?, gallais @ ensl.org
- [Coq-Club] Re: How to prove that a nonnegreal plus a posreal is a posreal?, Lucian M. Patcas
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