
theorem Th54:
  for T being TA-structure, t being type of T for A,B being Subset
  of the adjectives of T st A is_applicable_to t & B c= A holds B
  is_applicable_to t
proof
  let T be TA-structure;
  let t be type of T;
  let A,B be Subset of the adjectives of T;
  given t9 being type of T such that
A1: A c= adjs t9 and
A2: t9 <= t;
  assume
A3: B c= A;
  take t9;
  thus thesis by A1,A2,A3;
end;
