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) [] ∥
  x : A
  H0 : None = Some x
  H1 := {| pr1 := Some x; pr2 := H0 |}
     : sigma (λ index : option A, None = index)
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in
    ∃ D : ∀ y : C, Q y → P y x,
      nth_error (map_All fn [] Hl) 0 = Some (fn x D))


DEBUG:Going to execute:
hnf in (type of id')