Consider the following code:
A = {1,2,3,4}
ForAll[x, Element[A,x], x+1>0 ]
Resolve[%]
The code above gives me this error: Unable to resolve the domain or region membership condition {1,2,3,4}[Element]x.
Thank you for your time
Consider the following code:
A = {1,2,3,4}
ForAll[x, Element[A,x], x+1>0 ]
Resolve[%]
The code above gives me this error: Unable to resolve the domain or region membership condition {1,2,3,4}[Element]x.
Thank you for your time
There are two issues. One is that the arguments to Element are reversed from what they should be. The other issue (if I am not mistaken) is that Element only understands certain domains. SInce Integers is one such domain, the constraint could be redone as below.
A = {1, 2, 3, 4};
ee = ForAll[x, Element[x, Integers] && 1 <= x <= 4, x + 1 > 0];
Resolve[ee]
(* Out[418]= True *)