if I have the equation  2*x == 1  ,  solving for x using solve(2*x==1,x) 
 returns x == 1/2  .  In other words,  this equation is satisfied in the 
theory of rational (and others that include rational), because there exists 
a value x = 1/2 that makes 2*x == 1.  But in a different theory, say 
integer,  then the equation is always false since there exists no integer x 
such that 2*x == 1.   

So Is it possible to force x to be in the theory of Integer so that solving 
for 2*x == 1 will return Not Possible or something similar  ?  

Thanks,  

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