reserve l, m, n for Nat;
reserve a,b for Int-Location,
  f for FinSeq-Location,
  s,s1,s2 for State of SCM+FSA;
reserve L for finite Subset of Int-Locations;
reserve L for finite Subset of FinSeq-Locations;
reserve L for finite Subset of Int-Locations;

theorem
  for f being FinSeq-Location,a being Int-Location,s being State of SCM+FSA
  holds {a,IC SCM+FSA,f} c= dom s
proof
  let f be FinSeq-Location,a be Int-Location,s be State of SCM+FSA;
A1: a in dom s by SCMFSA_2:42;
  IC SCM+FSA in dom s by MEMSTR_0:2;
  then
A2: {a,IC SCM+FSA} c= dom s by A1,ZFMISC_1:32;
  f in dom s by SCMFSA_2:43;
  then { f } c= dom s by ZFMISC_1:31;
  then {a,IC SCM+FSA} \/ {f} c= dom s by A2,XBOOLE_1:8;
  hence thesis by ENUMSET1:3;
end;
