let N be non empty with_non-empty_elements set ; :: thesis: for l being Element of NAT
for S being non empty stored-program IC-Ins-separated definite realistic COM-Struct of N
for p being PartState of S st Start-At (l,S) c= p holds
Start-At (l,S) c= NPP p
let l be Element of NAT ; :: thesis: for S being non empty stored-program IC-Ins-separated definite realistic COM-Struct of N
for p being PartState of S st Start-At (l,S) c= p holds
Start-At (l,S) c= NPP p
let S be non empty stored-program IC-Ins-separated definite realistic COM-Struct of N; :: thesis: for p being PartState of S st Start-At (l,S) c= p holds
Start-At (l,S) c= NPP p
let p be PartState of S; :: thesis: ( Start-At (l,S) c= p implies Start-At (l,S) c= NPP p )
assume Start-At (l,S) c= p ; :: thesis: Start-At (l,S) c= NPP p
then p is l -started by Th151;
then NPP p is l -started ;
hence Start-At (l,S) c= NPP p by Th151; :: thesis: verum