Goal:
  
  A : Type
  P : nat → A → Type
  n : nat
  x : A
  Γ : list A
  IHΓ : All_fold (λ (Γ : list A) (d : A), P (n + #|Γ|) d) (List.rev Γ)
        → Alli P n Γ
  a : All_fold (λ (Γ : list A) (d : A), P (n + #|Γ|) d) (x :: List.rev Γ)
  a0 := {| pr1 := x :: List.rev Γ; pr2 := a |}
     : sigma
         (λ index : list A,
            All_fold (λ (Γ : list A) (d : A), P (n + #|Γ|) d) index)
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in Alli P n (Γ ++ [x]))


DEBUG:Going to execute:
set (id'2 := pr2 id'); set (id'1 := pr1 id') in id'2