Section TBDistrLatticeTheory.
Context {disp : unit} {L : tbDistrLatticeType disp}.
Implicit Types (I : finType) (T : eqType) (x y : L).
Local Notation "1" := top.
Canonical join_addoid := Monoid.AddLaw (@meetUl _ L) (@meetUr _ _).
Canonical meet_addoid := Monoid.AddLaw (@joinIl _ L) (@joinIr _ _).

Lemma subxB x y z : x `\` (y `\` z) = (x `\` y) `|` (x `&` z).