let L be Lattice; for p, q being Element of L st L is B_Lattice & p [= q holds
latt L,[#p,q#] is B_Lattice
let p, q be Element of L; ( L is B_Lattice & p [= q implies latt L,[#p,q#] is B_Lattice )
assume
( L is B_Lattice & p [= q )
; latt L,[#p,q#] is B_Lattice
then
latt L,[#p,q#] is distributive bounded complemented Lattice
by Th78, Th86;
hence
latt L,[#p,q#] is B_Lattice
; verum