let R be good Ring; :: thesis: for a being Data-Location of R
for loc being Instruction-Location of SCM R
for s being State of holds s . a = (s +* (Start-At loc)) . a
let a be Data-Location of R; :: thesis: for loc being Instruction-Location of SCM R
for s being State of holds s . a = (s +* (Start-At loc)) . a
let loc be Instruction-Location of SCM R; :: thesis: for s being State of holds s . a = (s +* (Start-At loc)) . a
let s be State of ; :: thesis: s . a = (s +* (Start-At loc)) . a
a in the carrier of (SCM R) ;
then a in dom s by AMI_1:79;
then A1: ( dom (Start-At loc) = {(IC (SCM R))} & a in (dom s) \/ (dom (Start-At loc)) ) by FUNCOP_1:19, XBOOLE_0:def 3;
a <> IC (SCM R) by SCMRING3:3;
then not a in {(IC (SCM R))} by TARSKI:def 1;
hence s . a = (s +* (Start-At loc)) . a by A1, FUNCT_4:def 1; :: thesis: verum