FAdj (F,T1) is Subfield of FAdj (F,(T1 \/ T2))
by XBOOLE_1:7, FIELD_7:10;
hence
FAdj (F,(T1 \/ T2)) is FAdj (F,T1) -extending
by FIELD_4:7; FAdj (F,(T1 \/ T2)) is FAdj (F,T2) -extending
FAdj (F,T2) is Subfield of FAdj (F,(T1 \/ T2))
by XBOOLE_1:7, FIELD_7:10;
hence
FAdj (F,(T1 \/ T2)) is FAdj (F,T2) -extending
by FIELD_4:7; verum