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- From: Gaëtan Gilbert <gaetan.gilbert AT skyskimmer.net>
- To: coq-club AT inria.fr
- Subject: Re: [Coq-Club] A couple of simple proofs.
- Date: Tue, 28 Aug 2018 18:06:57 +0200
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The first one can't be proven, either add it as an axiom or live without it.
For the second one:
Theorem xverif: (forall q, q+1=3->q+1=4)<->False.
Proof.
split.
(* get rid of the False -> ... goal *)
2:intros [].
intros H.
specialize H with 2. (* or pose proof (H 2) as H' then work with H' *)
discriminate H.
reflexivity.
Qed.
for instance
I don't know why you're trying with (q:=0), that won't give anything interesting.
Gaëtan Gilbert
On 28/08/2018 18:00, Kenneth Roe wrote:
How can I complete the following two proofs:
Theorem bicond:
forall (x y :Prop), (x <-> y) -> x=y.
Proof.
...
Qed.
And the second proof:
Theorem xverif: (forall q, q+1=3->q+1=4)=False.
Proof.
eapply bicond.
split. intros.
elim H with (q := 0).
generalize H.
intros.
...
Qed.
What gets filled in for the "..." in each of the above proofs?
- Ken
- [Coq-Club] A couple of simple proofs., Kenneth Roe, 08/28/2018
- Re: [Coq-Club] A couple of simple proofs., Gaëtan Gilbert, 08/28/2018
- Re: [Coq-Club] A couple of simple proofs., Kenneth Roe, 08/28/2018
- Re: [Coq-Club] A couple of simple proofs., Kazuhiko Sakaguchi, 08/30/2018
- Re: [Coq-Club] A couple of simple proofs., Kenneth Roe, 08/28/2018
- Re: [Coq-Club] A couple of simple proofs., Gaëtan Gilbert, 08/28/2018
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