reserve V,W for Z_Module;

theorem RLVECT142: ::: should be proven for real-valued
  for F,G being FinSequence of INT
  st rng F = rng G & F is one-to-one
  & G is one-to-one holds Sum(F) = Sum(G)
  proof
    let F,G be FinSequence of INT;
    assume A1:rng F = rng G & F is one-to-one & G is one-to-one;
    thus Sum F = addint $$ F by GR_CY_1:2
              .= addint $$ G by A1,FINSOP_1:8
              .= Sum G by GR_CY_1:2;
  end;
