let s be State of SCM+FSA; :: thesis: for p being Instruction-Sequence of SCM+FSA
for a being Int-Location
for f being FinSeq-Location
for I being MacroInstruction of SCM+FSA holds ((StepTimes (a,I,p,s)) . 0) . f = s . f

let p be Instruction-Sequence of SCM+FSA; :: thesis: for a being Int-Location
for f being FinSeq-Location
for I being MacroInstruction of SCM+FSA holds ((StepTimes (a,I,p,s)) . 0) . f = s . f

let a be Int-Location; :: thesis: for f being FinSeq-Location
for I being MacroInstruction of SCM+FSA holds ((StepTimes (a,I,p,s)) . 0) . f = s . f

let f be FinSeq-Location ; :: thesis: for I being MacroInstruction of SCM+FSA holds ((StepTimes (a,I,p,s)) . 0) . f = s . f
let I be MacroInstruction of SCM+FSA ; :: thesis: ((StepTimes (a,I,p,s)) . 0) . f = s . f
set ST = StepTimes (a,I,p,s);
set au = 1 -stRWNotIn ({a} \/ ());
set Is = Initialized s;
thus ((StepTimes (a,I,p,s)) . 0) . f = (Exec (((1 -stRWNotIn ({a} \/ ())) := a),())) . f by SCMFSA_9:def 5
.= () . f by SCMFSA_2:63
.= s . f by SCMFSA_M:37 ; :: thesis: verum