       • To: mathgroup at smc.vnet.net
• From: olfa <olfa.mraihi at yahoo.fr>
• Date: Tue, 7 Sep 2010 02:02:44 -0400 (EDT)
• References: <i5vns7\$2ek\$1@smc.vnet.net>

```On 5 sep, 11:28, Andrzej Kozlowski <a... at mimuw.edu.pl> wrote:
> On 4 Sep 2010, at 10:00, olfa wrote:
>
> > Hi Mathematica Community,
>
> > Is Mathematica able to detect(recognize) implication between equations?
>
> > Thank you.
>
> Your question is not clear enough to answer with much confidence but at least Mathematica can do things like these:
>
>  Assuming[x^2 + y^2 ==== 1, Refine[x^4 + 2 x^2 y^2 + y^4 ===
== 1]]
>
> True
>
> or
>
> Assuming[x^2 + y^2 ==== 1, Refine[x ==== 0 || x^2 + y^2 =
==== 1]]
>
> True
>
> etc.
>
> Andrzej Kozlowski

With this example I will try to clarify my question:
x,xP,y,yP,t,tP are variables. y and yP are integer variables. Having
this disjunction of conjunctions  :
(y+Floor[Log[2,x]]==yP+Floor[Log[2,xP]] && t==tP && y==yP) || (t/
2^(y)==tP/2^(yP) && y+Log[2,x]==yP+Log[2,xP])

is Mathematica able to detect (to recognize) that there is
implications in this system?

```

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