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 s being State of S holds IC (NPP s) = IC s
let S be non empty stored-program IC-Ins-separated definite realistic COM-Struct of N; :: thesis: for s being State of S holds IC (NPP s) = IC s
let s be State of S; :: thesis: IC (NPP s) = IC s
IC in dom s by Lm6;
hence IC (NPP s) = IC s by Th72; :: thesis: verum