
theorem gcd1:
for L being gcdDomain
for x,y being Element of L
for u,v being a_gcd of x,y holds u is_associated_to v
proof
let L be gcdDomain;
let p,q be Element of L;
let u,v be a_gcd of p,q;
A: u divides p & u divides q by defGCD;
v divides p & v divides q by defGCD;
hence thesis by A,defGCD;
end;
