let f be FinSeq-Location ; for a being Int-Location
for s being State of SCM+FSA holds {a,(IC ),f} c= dom s
let a be Int-Location; for s being State of SCM+FSA holds {a,(IC ),f} c= dom s
let s be State of SCM+FSA; {a,(IC ),f} c= dom s
A1:
a in dom s
by SCMFSA_2:42;
IC in dom s
by MEMSTR_0:2;
then A2:
{a,(IC )} 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 )} \/ {f} c= dom s
by A2, XBOOLE_1:8;
hence
{a,(IC ),f} c= dom s
by ENUMSET1:3; verum