S-max (L~ g) in rng g by SPRECT_2:46;
then consider i being Element of NAT such that
A6: ( 1 <= i & i + 1 <= len g & g . i = S-max (L~ g) ) by Th5;
thus ex b₁ being Element of NAT st
( 1 <= b₁ & b₁ + 1 <= len g & g . b₁ = S-max (L~ g) ) by A6; :: thesis: verum