(* How to generate the multiple product for a constant *)
Fixpoint lgenk (n: nat) (k: K p) {struct n} : list (K p) :=
match n  with
O => nil
| 1 => k :: nil
| S n1 => k::lgenk n1 k
end.

Lemma scalE_integral k x : k .* x = 0 -> {k = 0%f} + {x = 0}.