(* 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_scalr n l k x y :
x 'L[l] (k .* y) = k .* (x 'L[l] y) :> vect n.