take
{ (a + W) where a is Vector of V : verum }
; for x being set holds
( x in { (a + W) where a is Vector of V : verum } iff ex a being Vector of V st x = a + W )
thus
for x being set holds
( x in { (a + W) where a is Vector of V : verum } iff ex a being Vector of V st x = a + W )
; verum