reserve a,b for Complex;
reserve V,X,Y for ComplexLinearSpace;
reserve u,u1,u2,v,v1,v2 for VECTOR of V;
reserve z,z1,z2 for Complex;
reserve V1,V2,V3 for Subset of V;
reserve W,W1,W2 for Subspace of V;
reserve x for set;
reserve w,w1,w2 for VECTOR of W;

theorem Th35:
  w1 = v & w2 = u implies w1 - w2 = v - u
proof
  assume that
A1: w1 = v and
A2: w2 = u;
  - w2 = - u by A2,Th34;
  hence thesis by A1,Th32;
end;
