On Friday, June 14, 2019 at 3:24:42 PM UTC+2, Thierry Arnoux wrote:
>
> Hi Jon & Benoît,
>
> I've created the deduction version of that theorem 
> <https://github.com/metamath/set.mm/pull/925> (whatever we choose to name 
> it). It is not a particularly hard task, just a bit long and a bit boring 
> as explained by Benoît.  This is typically the kind of task that could be 
> easily automated.
>

Thanks a lot !
 

> h1::subarea.1      |- A e. dom area
>
> h2::subarea.2      |- ( x e. dom A -> C C_ RR )
> h3::subarea.3      |- B = { <. x , y >. | ( <. x , y >. e. A /\ y e. C ) }
> !qed::                    |- B e. dom area
>
> It looks false: what if C is not measurable ? (e.g. take A to be the unit 
square and C a non-measurable subset of [0,1])

> Also, why not try directly with the deduction version this time? ;-)
>

Indeed !

Benoit


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