let x be set ; for E being non empty set
for F being Subset of (E ^omega)
for TS being non empty transition-system of F holds x, <%> E ==>* x,TS
let E be non empty set ; for F being Subset of (E ^omega)
for TS being non empty transition-system of F holds x, <%> E ==>* x,TS
let F be Subset of (E ^omega); for TS being non empty transition-system of F holds x, <%> E ==>* x,TS
let TS be non empty transition-system of F; x, <%> E ==>* x,TS
x, <%> E ==>* x, <%> E,TS
by Th82;
hence
x, <%> E ==>* x,TS
by Def7; verum