let F1, F2 be Field of BL; :: thesis: ( A c= F1 & ( for F being Field of BL st A c= F holds F1 c= F ) & A c= F2 & ( for F being Field of BL st A c= F holds F2 c= F ) implies F1 = F2 ) assume
( A c= F1 & ( for F being Field of BL st A c= F holds F1 c= F ) & A c= F2 & ( for F being Field of BL st A c= F holds F2 c= F ) )
; :: thesis: F1 = F2 hence
( F1 c= F2 & F2 c= F1 )
; :: according to XBOOLE_0:def 10:: thesis: verum