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} \/ (UsedILoc I));

set Is = Initialized s;

thus ((StepTimes (a,I,p,s)) . 0) . f = (Exec (((1 -stRWNotIn ({a} \/ (UsedILoc I))) := a),(Initialized s))) . f by SCMFSA_9:def 5

.= (Initialized s) . f by SCMFSA_2:63

.= s . f by SCMFSA_M:37 ; :: thesis: verum

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} \/ (UsedILoc I));

set Is = Initialized s;

thus ((StepTimes (a,I,p,s)) . 0) . f = (Exec (((1 -stRWNotIn ({a} \/ (UsedILoc I))) := a),(Initialized s))) . f by SCMFSA_9:def 5

.= (Initialized s) . f by SCMFSA_2:63

.= s . f by SCMFSA_M:37 ; :: thesis: verum