let IL be non empty set ; :: thesis: for N being with_non-empty_elements set
for S being stored-program AMI-Struct of IL,N
for s being State of S holds IL c= dom s
let N be with_non-empty_elements set ; :: thesis: for S being stored-program AMI-Struct of IL,N
for s being State of S holds IL c= dom s
let S be stored-program AMI-Struct of IL,N; :: thesis: for s being State of S holds IL c= dom s
let s be State of S; :: thesis: IL c= dom s
dom s = the carrier of S by Th79;
hence IL c= dom s by Def3; :: thesis: verum