Goal:
  
  A : Type
  f : A → bool
  l : list A
  g : ∀ x : A, In x l → bool
  Heqg : g = λ (x : A) (_ : In x l), f x
  packcall := {| pr1 := l; pr2 := g |}
           : sigma (λ l : list A, ∀ x : A, In x l → bool)
  packcall_fn := {|
                   pr1 := packcall;
                   pr2 := forallb_InP (pr1 packcall) (pr2 packcall)
                 |}
              : sigma
                  (λ _ : sigma (λ l : list A, ∀ x : A, In x l → bool), bool)
  ============================
   (packcall = {| pr1 := l; pr2 := g |}
    → forallb_InP (pr1 packcall) (pr2 packcall) =
      forallb_InP (pr1 {| pr1 := l; pr2 := g |})
        (pr2 {| pr1 := l; pr2 := g |})
      → let H := CoreTactics.block in forallb_InP l g = forallb f l)


DEBUG:Going to execute:
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)