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 d being data-only FinPartState of S holds d tolerates Start-At (l,S)
let l be Element of NAT ; :: thesis: for S being non empty stored-program IC-Ins-separated definite realistic COM-Struct of N
for d being data-only FinPartState of S holds d tolerates Start-At (l,S)
let S be non empty stored-program IC-Ins-separated definite realistic COM-Struct of N; :: thesis: for d being data-only FinPartState of S holds d tolerates Start-At (l,S)
let d be data-only FinPartState of S; :: thesis: d tolerates Start-At (l,S)
dom (Start-At (l,S)) = {(IC S)} by FUNCOP_1:19;
then dom d misses dom (Start-At (l,S)) by Th22, ZFMISC_1:56;
hence d tolerates Start-At (l,S) by PARTFUN1:138; :: thesis: verum