let s be State of SCM+FSA; for a being Int-Location
for f being FinSeq-Location
for I being Program of SCM+FSA holds ((StepTimes (a,I,s)) . 0) . f = s . f
let a be Int-Location ; for f being FinSeq-Location
for I being Program of SCM+FSA holds ((StepTimes (a,I,s)) . 0) . f = s . f
let f be FinSeq-Location ; for I being Program of SCM+FSA holds ((StepTimes (a,I,s)) . 0) . f = s . f
let I be Program of SCM+FSA; ((StepTimes (a,I,s)) . 0) . f = s . f
set ST = StepTimes (a,I,s);
set au = 1 -stRWNotIn ({a} \/ (UsedIntLoc I));
set Is = Initialized s;
thus ((StepTimes (a,I,s)) . 0) . f =
(Exec (((1 -stRWNotIn ({a} \/ (UsedIntLoc I))) := a),(Initialized s))) . f
by SCMFSA_9:def 5
.=
(Initialized s) . f
by SCMFSA_2:89
.=
s . f
by SCMFSA6C:3
; verum