let z be constant standard clockwise_oriented special_circular_sequence; :: thesis: ( z /. 1 = E-max (L~ z) implies (S-max (L~ z)) .. z < (W-min (L~ z)) .. z )
assume A1: z /. 1 = E-max (L~ z) ; :: thesis: (S-max (L~ z)) .. z < (W-min (L~ z)) .. z
then (S-max (L~ z)) .. z < (S-min (L~ z)) .. z by Th40;
hence (S-max (L~ z)) .. z < (W-min (L~ z)) .. z by A1, Th41, XXREAL_0:2; :: thesis: verum