let s be State of ; :: thesis: for a being Int-Location
for f being FinSeq-Location
for I being Program of holds ((StepTimes a,I,s) . 0 ) . f = s . f

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

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