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- From: Marko Malikovi� <marko AT ffri.hr>
- To: coq-club AT pauillac.inria.fr
- Subject: [Coq-Club] Induction
- Date: Sat, 10 Nov 2007 08:44:27 +0100 (CET)
- Importance: Normal
- List-archive: <http://pauillac.inria.fr/pipermail/coq-club/>
Hi,
I'm searching for reason way this cases have different epilogue but I
can't find one:
FIRST:
Coq < Section Proba.
Coq < Inductive values : nat -> Prop :=
Coq < | value1 : values 1
Coq < | value2 : values 2
Coq < | value3 : values 3
Coq < | value4 : values 4.
values is defined
values_ind is defined
Coq < Parameter x : nat.
x is assumed
Coq < Hypothesis Hx : values x.
Hx is assumed
Coq <
Coq < Goal x<=4.
1 subgoal
Hx : values x
============================
x <= 4
Unnamed_thm < induction Hx.
Toplevel input, characters 0-12
> induction Hx.
> ^^^^^^^^^^^^
User error: Hx is used in hypothesis v
SECOND:
Coq < Section Proba.
Coq < Inductive values : nat -> Prop :=
Coq < | value1 : values 1
Coq < | value2 : values 2
Coq < | value3 : values 3
Coq < | value4 : values 4.
values is defined
values_ind is defined
Coq < Parameter x : nat.
x is assumed
Coq < Goal values x -> x<=4.
1 subgoal
============================
values x -> x <= 4
Unnamed_thm < intro Hx.
1 subgoal
Hx : values x
============================
x <= 4
Unnamed_thm < induction Hx.
4 subgoals
============================
1 <= 4
subgoal 2 is:
2 <= 4
subgoal 3 is:
3 <= 4
subgoal 4 is:
4 <= 4
Is it reason in rule implemented with intro tactis or what?
Thank you very much,
Marko Malikoviæ
- [Coq-Club] Induction, Marko Malikoviæ
- [Coq-Club] Induction - Appendix, Marko Malikoviæ
- Re: [Coq-Club] Induction,
Evgeny Makarov
- Re: [Coq-Club] Induction, Marko Malikoviæ
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