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
  Hl : ∀ y : C, Q y → ∥ All (P y) [] ∥
  ============================
   (∀ (l : list A) (H : ∀ y : C, Q y → ∥ All (P y) l ∥) (n : nat) (x : A),
      nth_error l n = Some x
      → {| pr1 := []; pr2 := Hl |} = {| pr1 := l; pr2 := H |}
        → [] = map_All fn l 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:
simplify * || simplify ?; cbv beta