let N be non empty with_non-empty_elements set ; :: thesis: for S being non empty stored-program IC-Ins-separated definite realistic COM-Struct of N
for p being PartState of S st IC in dom p holds
p +* (Start-At ((IC p),S)) = 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 IC in dom p holds
p +* (Start-At ((IC p),S)) = p
let p be PartState of S; :: thesis: ( IC in dom p implies p +* (Start-At ((IC p),S)) = p )
assume IC in dom p ; :: thesis: p +* (Start-At ((IC p),S)) = p
then Start-At ((IC p),S) c= p by FUNCT_4:8;
hence p +* (Start-At ((IC p),S)) = p by FUNCT_4:103, FUNCT_4:104; :: thesis: verum