Goal:
  
  A : Type
  B : Type
  C : Type
  P : A → B → C → Type
  c : C
  X : All (λ z : C, All2 (λ (x : A) (y : B), P x y z) [] []) [c]
  ============================
   (All2 (λ (x : A) (y : B), All (P x y) [c]) [] [])


DEBUG:Going to execute:
fun x => lazymatch x with
                    | [] => idtac
                    | _ :: _ => idtac
                    end