
theorem Th3: :: EvenOdd02
  for n,m being odd Integer st n < m holds n <= m-2
proof
  let n,m be odd Integer;
  assume n < m;
  then n+1 <= m by INT_1:7;
  then n+1+(-1) <= m+(-1) by XREAL_1:7;
  then n < m-1 by XXREAL_0:1;
  then n+1 <= m-1 by INT_1:7;
  then n+1+(-1) <= m-1+(-1) by XREAL_1:7;
  hence thesis;
end;
