let x, y be set ; :: thesis: 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 of F
for P being RedSequence of ==>.-relation TS st P . 1 = [x,v] & P . (len P) = [y,w] holds
len v >= len w
let E be non empty set ; :: thesis: for v, w being Element of E ^omega
for F being Subset of (E ^omega )
for TS being non empty transition-system of F
for P being RedSequence of ==>.-relation TS st P . 1 = [x,v] & P . (len P) = [y,w] holds
len v >= len w
let v, w be Element of E ^omega ; :: thesis: for F being Subset of (E ^omega )
for TS being non empty transition-system of F
for P being RedSequence of ==>.-relation TS st P . 1 = [x,v] & P . (len P) = [y,w] holds
len v >= len w
let F be Subset of (E ^omega ); :: thesis: for TS being non empty transition-system of F
for P being RedSequence of ==>.-relation TS st P . 1 = [x,v] & P . (len P) = [y,w] holds
len v >= len w
let TS be non empty transition-system of F; :: thesis: for P being RedSequence of ==>.-relation TS st P . 1 = [x,v] & P . (len P) = [y,w] holds
len v >= len w
let P be RedSequence of ==>.-relation TS; :: thesis: ( P . 1 = [x,v] & P . (len P) = [y,w] implies len v >= len w )
assume A: ( P . 1 = [x,v] & P . (len P) = [y,w] ) ; :: thesis: len v >= len w
consider u being Element of E ^omega such that
B: v = u ^ w by A, ThRedSeq60;
thus len v >= len w by B, LmXSeq50; :: thesis: verum