
theorem Th19:
  for I being Program of SCM+FSA, a being Int-Location holds card
  if<0(a,I) = card I + 5
proof
  let I be Program of SCM+FSA, a be Int-Location;
  thus card if<0(a,I)
     = card (a =0_goto  (card I + 4) ";"
         (a >0_goto  (card I + 2) ";" I)) + 1 by Lm1,SCMFSA6A:21
    .= 2 + card(a >0_goto  (card I + 2)";" I) + 1 by SCMFSA6A:33
    .= 2 + (card I + 2) + 1 by SCMFSA6A:33
    .= card I + 5;
end;
