How about the following?

`∀n. n ≤ C' ⇒ n ≠ w` by METIS_TAC []

(This is what Michael suggested...)

Cheers,
Magnus

On 13 May 2014 10:08, masoume tajvidi <mas.tajv...@gmail.com> wrote:
> Thank you all for your quick response.
> Actually all these Tactics work but they are so smart that disappear what I
> want to stay there in the assumptions( ∀n. n ≤ C' ⇒ n ≠ w).
> I assume I need a very basic Tactic for exactly this aim and no more
> simplification.
> Cheers,
> Masoumeh
>
>
> On Tue, May 13, 2014 at 6:35 PM, Magnus Myreen <magnus.myr...@cl.cam.ac.uk>
> wrote:
>>
>> Hi Masoume,
>>
>> Have you tried RES_TAC? I think RES_TAC should get you ∀n. n ≤ C' ⇒ n
>> ≠ w as an assumption.
>>
>> Cheers,
>> Magnus
>>
>>
>> On 13 May 2014 09:01, masoume tajvidi <mas.tajv...@gmail.com> wrote:
>> > Hi ,
>> > I have a subgoal like this:
>> >
>> >     F
>> >     ------------------------------------
>> >       0.  (winner' = w) ⇒ (winner = w)
>> >       1.  Max_vote C' v' = (winner,max)
>> >       2.  Max_vote C' v = (winner',max')
>> >       3.  LENGTH v' = LENGTH v
>> >       4.  w ≠ 0
>> >       5.  ∀n. n < LENGTH v ⇒ (EL n v' = w) ∨ (EL n v = EL n v')
>> >       6.  Count w v > max'
>> >       7.  T
>> >       8.  Count w v' = max
>> >       9.  SUC C' = w
>> >       10.  Count w v' ≥ Count w v
>> >       11.  winner' ≤ C'
>> >       12.  winner ≤ C'
>> >       13.  (SUC C' = w) ⇒ ∀n. n ≤ C' ⇒ n ≠ w
>> >
>> > I need to reach ∀n. n ≤ C' ⇒ n ≠ w  as another assumption.
>> > I think from Assumption 9 and 13 it is inferable,  but do not know what
>> > Tactic to use.
>> > Could anybody suggest me some Tactics?
>> >
>> >  Thank you:)
>> >
>> >
>> >
>> >
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