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(x|y) \[element] Integers in Reduce function


Consider the following

Reduce[x^2 - 2 y^2 == 1 && x>= 0 && y>=0 && (x|y) \[element] Integers,
{x,y} ]

What does " (x|y) \[element] Integers "   mean?

Does it mean:

(a) x is an Integer  AND  y is an Integer

(b) x is an Integer  OR  y is an Integer

Thank you



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