let z be V19() standard clockwise_oriented special_circular_sequence; :: thesis: ( z /. 1 = N-min (L~ z) implies (E-min (L~ z)) .. z < (S-min (L~ z)) .. z )
assume A1: z /. 1 = N-min (L~ z) ; :: thesis: (E-min (L~ z)) .. z < (S-min (L~ z)) .. z
then (S-max (L~ z)) .. z < (S-min (L~ z)) .. z by SPRECT_2:73;
hence (E-min (L~ z)) .. z < (S-min (L~ z)) .. z by A1, SPRECT_2:72, XXREAL_0:2; :: thesis: verum