theorem Th23: :: ABCMIZ_0:23

for T being reflexive transitive antisymmetric with_suprema Noetherian adj-structured TA-structure
for t being type of T
for a being adjective of T
for t9 being type of T st t9 <= t & a in adjs t9 holds
( a is_applicable_to t & t9 <= a ast t )