reserve p,q for Rational;
reserve g,m,m1,m2,n,n1,n2 for Nat;
reserve i,i1,i2,j,j1,j2 for Integer;
reserve R for Ring, F for Field;

theorem Th58:
for R being add-associative right_zeroed right_complementable
            non empty doubleLoopStr,
    a being Element of R holds 0 '*' a = 0.R
proof
let R be add-associative right_zeroed right_complementable
         non empty doubleLoopStr,
    a be Element of R;
thus 0 '*' a = 0 * a by Def2 .= 0.R by BINOM:12;
end;
