Goal:
  
  A : Type
  B : Type
  R : A → B → Type
  l : list A
  a : B
  r1 : list B
  r2 : list B
  h : All2 R l (a :: r1 ++ r2)
  h0 := {| pr1 := {| pr1 := l; pr2 := a :: r1 ++ r2 |}; pr2 := h |}
     : sigma
         (λ index : sigma (λ _ : list A, list B),
            All2 R (pr1 index) (pr2 index))
  h1 : sigma (λ _ : list A, list B)
  h2 : (λ index : sigma (λ _ : list A, list B),
          All2 R (pr1 index) (pr2 index)) h1
  ============================
   ({| pr1 := l; pr2 := a :: r1 ++ r2 |} = h1
    → let H := CoreTactics.block in
      (∀ (l : list A) (r2 : list B),
         All2 R l (r1 ++ r2)
         → ∑ l1 l2 : list A, l = l1 ++ l2 × All2 R l1 r1 × All2 R l2 r2)
      → let H0 := CoreTactics.block in
        ∑ l1 l2 : list A, l = l1 ++ l2 × All2 R l1 (a :: r1) × All2 R l2 r2)


DEBUG:Going to execute:
clear id' id