let x, y, z be object ; for E being non empty set
for F being Subset of (E ^omega)
for TS being non empty transition-system over F st x,y -->. z,TS holds
==>.-relation TS reduces [x,y],[z,(<%> E)]
let E be non empty set ; for F being Subset of (E ^omega)
for TS being non empty transition-system over F st x,y -->. z,TS holds
==>.-relation TS reduces [x,y],[z,(<%> E)]
let F be Subset of (E ^omega); for TS being non empty transition-system over F st x,y -->. z,TS holds
==>.-relation TS reduces [x,y],[z,(<%> E)]
let TS be non empty transition-system over F; ( x,y -->. z,TS implies ==>.-relation TS reduces [x,y],[z,(<%> E)] )
assume
x,y -->. z,TS
; ==>.-relation TS reduces [x,y],[z,(<%> E)]
then
<*[x,y],[z,(<%> E)]*> is RedSequence of ==>.-relation TS
by Th57;
then
[[x,y],[z,(<%> E)]] in ==>.-relation TS
by Th8;
hence
==>.-relation TS reduces [x,y],[z,(<%> E)]
by REWRITE1:15; verum