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[tlaplus] on tlaps semantics



Hi all

Can anyone tell me why this assumption cannot be proved.

THEOREM TEST4 == ASSUME NEW P1, NEW P2, NEW pred1 (_,_), NEW l, NEW pred2(_),
                        l =  {x \in {pred1(c1, c2) : c1 \in P1, c2 \in P2} : pred2(x)}
                        PROVE \A l1 \in l : \E s1 \in P1, s2 \in P2 : l1 = pred1(s1, s2)
                 PROOF OBVIOUS  
or even

THEOREM TEST2 == ASSUME NEW P1, NEW P2, NEW pred1 (_,_), NEW l,
                        l =  {pred1(c1, c2) : c1 \in P1, c2 \in P2}
                        PROVE \A l1 \in l : \E s1 \in P1, s2 \in P2 : l1 = pred1(s1, s2)
                 PROOF OBVIOUS   
Thanks.

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