Goal:
  
  A : Type
  B : Type
  C : Type
  Q : C → Type
  P : C → A → Prop
  Q' : B → Type
  R : C → A → Prop
  f : ∀ x : A, (∀ y : C, Q y → R y x) → B
  args : list A
  ha : ∀ y : C, Q y → ∥ All (R y) args ∥
  ============================
   ((∀ y : C, Q y → All (P y) args)
    → (∀ (x : A) (y : C) (rx : ∀ y0 : C, Q y0 → R y0 x), P y x → Q' (f x rx))
      → ∀ y : C, Q y → All Q' (map_All f args ha))


DEBUG:Going to execute:
let elimfn := match elimc with
                         | fun_elim => constr:(f)
                         end in
           let elimn := match elimc with
                        | fun_elim => constr:(n)
                        end in
           CoreTactics.block_goal; uncurry_call elimfn c packcall packcall_fn;
            remember_let packcall_fn; unfold_packcall packcall;
            refine (DepElim.eq_simplification_sigma1 _ _ _ _ _) ||
              refine (DepElim.eq_simplification_sigma1_nondep_dep _ _ _ _ _)
               || refine (DepElim.eq_simplification_sigma1_dep _ _ _ _ _);
            (let H := fresh "eqargs" in
             let Heq := fresh "Heqcall" in
             intros H Heq; try (rewrite <- Heq; clear Heq);
              CoreTactics.revert_until H; revert H; subst packcall_fn;
              clearbody packcall; make_packcall packcall elimfn;
              with_last_secvar ltac:(fun eos => move packcall before eos)
               ltac:(move packcall at top); CoreTactics.revert_until packcall;
              CoreTactics.block_goal; cbv zeta in packcall; revert packcall;
              curry;
              (let elimt := make_refine elimn elimc in
               unshelve refine_ho elimt; intros; cbv beta;
                DepElim.simplify_dep_elim; CoreTactics.intros_until_block;
                DepElim.simplify_dep_elim;
                cbn beta iota
                 delta [Prop.Logic.transport Logic.eq_elim Logic.eq_elim_r
                       eq_rect DepElim.pack_sigma_eq
                       DepElim.pack_sigma_eq_nondep] 
                 in *; DepElim.simplify_IH_hyps; CoreTactics.unblock_goal;
                DepElim.simplify_IH_hyps; tac c))