Goal:
  
  A : Type
  B : Type
  C : Type
  Q : C → Type
  P : C → A → Prop
  fn : ∀ x : A, (∀ y : C, Q y → P y x) → B
  packcall : let H := map_All fn in
             sigma (λ l : list A, ∀ y : C, Q y → ∥ All (P y) l ∥)
  l : list A
  ============================
   (∀ (H : ∀ y : C, Q y → ∥ All (P y) l ∥) (n : nat) (x : A),
      nth_error l n = Some x
      → packcall = {| pr1 := l; pr2 := H |}
        → map_All fn (pr1 packcall) (pr2 packcall) =
          map_All fn (pr1 {| pr1 := l; pr2 := H |})
            (pr2 {| pr1 := l; pr2 := H |})
          → let H0 := CoreTactics.block in
            ∃ D : ∀ y : C, Q y → P y x,
              nth_error (map_All fn l H) n = Some (fn x D))


DEBUG:Going to execute:
fun tac => lazymatch goal with
                      | H:_ |- _ => tac H
                      end