reserve i, j, m, n for Nat,
  z, B0 for set,
  f, x0 for real-valued FinSequence;

theorem Th24:
  for i1,i2 being Nat st 1<=i1 & i1<=n &
    Base_FinSeq(n,i1) = Base_FinSeq(n,i2) holds i1=i2
proof
  let i1,i2 be Nat;
  assume that
A1: 1<=i1 and
A2: i1<=n and
A3: Base_FinSeq(n,i1)=Base_FinSeq(n,i2);
  Base_FinSeq(n,i1).i1=1 by A1,A2,MATRIXR2:75;
  hence thesis by A1,A2,A3,MATRIXR2:76;
end;
