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