       Re: Full simplify problem

• To: mathgroup at smc.vnet.net
• Subject: [mg122282] Re: Full simplify problem
• From: dimitris <dimmechan at yahoo.com>
• Date: Sun, 23 Oct 2011 06:24:44 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <j7u59t\$u\$1@smc.vnet.net>

```On Oct 22, 1:18 pm, "A. Lapraitis" <ffcita... at gmail.com> wrote:
> Hello,
>
> Could anyone explain why the following does not give zero?
>
> In:= Assuming[
>  x == y + z,
>  FullSimplify[
>   E^x - E^(y + z)
>   ]
>  ]
>
> Out= E^x - E^(y + z)
>
> Thanks!

Actually private communication with Andrzej Kozlowski   made me
understand that the approach in my second message was incorrect.
For example each of the following evaluate to True

In:= Assuming[x === y + z, FullSimplify[E^x - E^(y + z) ===
0]]

During evaluation of In:= \$Assumptions::fas: Warning: One or more
assumptions evaluated to False. >>

Out= True

In:= Assuming[x === y + z, FullSimplify[E^x - E^(y + z) < 0]]

During evaluation of In:= \$Assumptions::fas: Warning: One or more
assumptions evaluated to False. >>

Out= True

In:= Assuming[x === y + z, FullSimplify[E^x - E^(y + z) > 0]]

During evaluation of In:= \$Assumptions::fas: Warning: One or more
assumptions evaluated to False. >>

Out= True

Assuming False every predicate becomes True.

Of course the approach in the first message is correct.

Dimitris

```

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