theorem Th5: :: RSSPACE3:5
NORMSTR(# the_set_of_l1RealSequences,(Zero_ (the_set_of_l1RealSequences,Linear_Space_of_RealSequences)),(Add_ (the_set_of_l1RealSequences,Linear_Space_of_RealSequences)),(Mult_ (the_set_of_l1RealSequences,Linear_Space_of_RealSequences)),l_norm #) is RealLinearSpace by Lm2, RSSPACE:15;