I am not sure what the problem is: have you done an

   open pred_setTheory;

? On my machine, the theorem is there:

>  $hol
>
>  ---------------------------------------------------------------------
>         HOL-4 [Kananaskis 9 (stdknl, built Wed Oct 22 13:44:55 2014)]
>
>         For introductory HOL help, type: help "hol";
>         To exit type <Control>-D
>  ---------------------------------------------------------------------
>
>  Poly/ML 5.5.2 Testing
>  > pred_setTheory.CROSS_applied;
>  val it =
>     |- ∀P Q x. (P × Q) x ⇔ FST x ∈ P ∧ SND x ∈ Q:
>     thm


Konrad.


On Fri, Oct 24, 2014 at 11:16 AM, Cvetan Dunchev <[email protected]>
wrote:

> Dear colleagues and friends,
>
> I would like to inform you about the following problem: I want to use
> the CROSS_applied theorem from the pred_setTheory:
>
>
> http://hol.sourceforge.net/kananaskis-9-helpdocs/help/src-sml/htmlsigs/pred_setTheory.html#CROSS_applied-val
>
> Despite the fact that the theory is loaded, I got the following
> message in the console:
> ! Toplevel input:
> ! CROSS_applied;
> ! ^^^^^^^^^^^^^
> ! Unbound value identifier: CROSS_applied
>
> and when I have a look at the corresponding source file, indeed such a
> theorem does not exist. Does anybody have an explanation about that?
>
> Best regards,
> Cvetan Dunchev
>
>
>
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