theorem Th7: :: POLYEQ_2:7

for a1, a2, a3, a4, a5, b1, b2, b3, b4, b5 being Real st ( for x being Real holds Polynom (a1,a2,a3,a4,a5,x) = Polynom (b1,b2,b3,b4,b5,x) ) holds
( a5 = b5 & ((a1 - a2) + a3) - a4 = ((b1 - b2) + b3) - b4 & ((a1 + a2) + a3) + a4 = ((b1 + b2) + b3) + b4 )