let C be compact non horizontal non vertical Subset of (TOP-REAL 2); for n being Nat holds (Lower_Seq (C,n)) /. 1 = E-max (L~ (Cage (C,n)))
let n be Nat; (Lower_Seq (C,n)) /. 1 = E-max (L~ (Cage (C,n)))
Lower_Seq (C,n) = (Rotate ((Cage (C,n)),(W-min (L~ (Cage (C,n)))))) :- (E-max (L~ (Cage (C,n))))
by JORDAN1E:def 2;
hence
(Lower_Seq (C,n)) /. 1 = E-max (L~ (Cage (C,n)))
by FINSEQ_5:53; verum