let x, y be set ; :: thesis: for E being non empty set
for u, v being Element of E ^omega
for F being Subset of (E ^omega )
for TS being transition-system of F st x,u ==>. y,v,TS holds
len u >= len v
let E be non empty set ; :: thesis: for u, v being Element of E ^omega
for F being Subset of (E ^omega )
for TS being transition-system of F st x,u ==>. y,v,TS holds
len u >= len v
let u, v be Element of E ^omega ; :: thesis: for F being Subset of (E ^omega )
for TS being transition-system of F st x,u ==>. y,v,TS holds
len u >= len v
let F be Subset of (E ^omega ); :: thesis: for TS being transition-system of F st x,u ==>. y,v,TS holds
len u >= len v
let TS be transition-system of F; :: thesis: ( x,u ==>. y,v,TS implies len u >= len v )
assume A: x,u ==>. y,v,TS ; :: thesis: len u >= len v
ex w being Element of E ^omega st
( x,w -->. y,TS & u = w ^ v ) by A, ThDir25;
hence len u >= len v by LmXSeq50; :: thesis: verum