let x, y be object ; for E being non empty set
for v, w being Element of E ^omega
for F being Subset of (E ^omega)
for TS being non empty transition-system over F st ==>.-relation TS reduces [x,w],[y,(v ^ w)] holds
v = <%> E
let E be non empty set ; for v, w being Element of E ^omega
for F being Subset of (E ^omega)
for TS being non empty transition-system over F st ==>.-relation TS reduces [x,w],[y,(v ^ w)] holds
v = <%> E
let v, w be Element of E ^omega ; for F being Subset of (E ^omega)
for TS being non empty transition-system over F st ==>.-relation TS reduces [x,w],[y,(v ^ w)] holds
v = <%> E
let F be Subset of (E ^omega); for TS being non empty transition-system over F st ==>.-relation TS reduces [x,w],[y,(v ^ w)] holds
v = <%> E
let TS be non empty transition-system over F; ( ==>.-relation TS reduces [x,w],[y,(v ^ w)] implies v = <%> E )
assume
==>.-relation TS reduces [x,w],[y,(v ^ w)]
; v = <%> E
then
len w >= len (v ^ w)
by Th75;
then
(len v) + (len w) <= 0 + (len w)
by AFINSQ_1:17;
hence
v = <%> E
by XREAL_1:6; verum