(* The left contraction (Dorst inner product) *)
Notation "x ''L[' l ]  y " := (l_contra _ l x y) (at level 40).
Notation hom := (hom p _).

Lemma l_contra_addl n l x y z :
(x + y) 'L[l] z = x 'L[l] z +  y 'L[l] z :> vect n.