let IL be non empty set ; :: thesis: for N being with_non-empty_elements set
for S being non empty stored-program IC-Ins-separated AMI-Struct of IL,N
for s being State of S holds IC s in dom s

let N be with_non-empty_elements set ; :: thesis: for S being non empty stored-program IC-Ins-separated AMI-Struct of IL,N
for s being State of S holds IC s in dom s

let S be non empty stored-program IC-Ins-separated AMI-Struct of IL,N; :: thesis: for s being State of S holds IC s in dom s
let s be State of S; :: thesis: IC s in dom s
dom s = the carrier of S by Th79;
hence IC s in dom s ; :: thesis: verum