:: deftheorem Def1 defines uInt SURREALN:def 1 :
for b1 being ManySortedSet of INT holds
( b1 = uInt iff for n being Nat holds
( b1 . 0 = 0_No & b1 . (n + 1) = [{(b1 . n)},{}] & b1 . (- (n + 1)) = [{},{(b1 . (- n))}] ) );