theorem Th41: :: INT_4:41

for m1, m2, c1, c2 being Integer st m1 <> 0 & m2 <> 0 & not m1 gcd m2 divides c1 - c2 holds
for x being Integer holds
( not (x - c1) mod m1 = 0 or not (x - c2) mod m2 = 0 )