reserve P,P1,P2 for Instruction-Sequence of SCM+FSA;

theorem
  for I,J being MacroInstruction of SCM+FSA, a being Int-Location holds
  card if=0(a,I,J) = card I + card J + 4
proof
  let I,J be MacroInstruction of SCM+FSA;
  let a be Int-Location;
A1: card Stop SCM+FSA = 1 by COMPOS_1:4;
  thus card if=0(a,I,J)
     = card (Macro (a =0_goto  (card J + 3)) ";" J ";" Goto  (
  card I + 1) ";" I) + 1 by A1,SCMFSA6A:21
    .= card (Macro (a =0_goto  (card J + 3)) ";" J ";" Goto  (
  card I + 1)) + card I + 1 by SCMFSA6A:21
    .= card (Macro (a =0_goto  (card J + 3)) ";" J) + card Goto
  (card I + 1) + card I + 1 by SCMFSA6A:21
    .= card (Macro (a =0_goto  (card J + 3)) ";" J) + 1 + card I + 1
  by SCMFSA8A:15
    .= card Macro (a =0_goto  (card J + 3)) + card J + 1 + card I + 1
  by SCMFSA6A:21
    .= 2 + card J + 1 + card I + 1 by COMPOS_1:56
    .= card I + card J + 4;
end;
